Abstract
The bibliography has been modelled closely in format on that of Rescher’s in his book many Valued-Logic. This format was picked rather than, say, that of Moisil’s excellent bibliography in his Essais sur le Logiques non-chrysippiènnes for two reasons:(1) Rescher’s book, and hence his bibliography, is more easily accessible to general audiences than is Moisil’s, so that an extension of Rescher’s bibliography is more likely to be useful; (2) the format of Rescher’s bibliography is more helpful than that of Moisil’s.
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References
Jan Łukasiewicz: ‘Über den Satz des Widerspruchs bei Aristoteles,’ Bulletin international de I’Académie des Sciences de Cracovie, Classe de Philosophie (Cracow, 1910), 15–38. [English translation (‘On the Principle of Contradiction in Aristotle’) by Vernon Wedin in The Review of Metaphysics 24 (1971), 485–509.] [Reviewed by Ivo Thomas in JSL 39 (1974), 619.]
Tadeusz Kotarbiński: ‘Zagadnienie istnienia pryszłosci (On the problem of existence of future events),’ Przeglgd Filozoficzny 16 (1913), 74–92. Reprinted in Tadeusz Kotarbinski, Wybór Pism, vol. 1, Warsaw 1957, pp. 116–144. L
Jan Łukasiewicz: ‘Treść wykładu pożegnalnego prof. Jana Łukasiewicza, wygłoszonego w auli Uniwersytetu warszawskiego dnia 7-go Marca 1918,’ Pro Arte et Studio 11 (1918), Warszawa-Kraków-Lwów-Poznań (Gebethner and Wolff), pp. 3–4. Reprinted in Wiadomości 45 no. 501 (1955), p. 4. [English translation (‘Farewell Lecture by Professor Jan Łukasiewicz, delivered in the Warsaw University Lecture Hall on March 7, 1918’) by Olgierd Wojtasiewicz in Łukasiewicz (1970), pp. 84–86.]
Jan Łukasiewicz: ‘O logice trojwartosciowej’ Ruch Filozoficzny 5 (1920), 169–171. [English translation (‘On Three-valued Logic’) by H. Hiż in McCall (1967), pp. 16–18. English translation (‘On Three-valued Logic’) by Olgierd Wojtasiewicz in Łukasiewicz (1970), pp. 87–88.]
Jan Łukasiewicz: ‘Logika dwuwartosciowa,’ Przeglqd Filozoficzny 23 (1921), 189–205. [English translation (‘Two-valued Logic’) by Olgierd Wojtasiewicz in Lukasiewicz (1970), pp. 89–109.]
‘O determinizmie,’ in Lukasiewicz (1961), pp. 114–126. [English translation (‘On Determinism’) by Zbigniew Jordan in McCall (1967), pp. 19–39. English translation reprinted in Lukasiewicz (1970), pp. 110–128.] [Reviewed by Rose Rand in JSL 33 (1968), 130.]
Jan Łukasiewicz: Elementy Logiki Matematycznej. Warsaw (Pans- twowe Wydawnictwo Naukowe) 1929. Second edition, edited by Jerzy Słupecki, 1958. [English translation (Elements of Mathematical Logic) by Olgierd Wojtasiewicz, New York (The Macmillan Company) 1963.] [Reviewed by Arthur Norman Prior in The Journal of Philosophy 65 (1968), 152–153; by Alfons Borgers in JSL 30 (1965), 237; by Czestaw Lejewski in Philosophy of Science 34 (1967), 196–198.]
Thoralf Skolem: “Über einige Grundlagenfragen der Mathematick,” Skrifter utgitt av Det Nor she Videnskaps-Adademi i Oslo, no. 4 (1929), 1–49. Reprinted in Skolem (1970), pp: 227–274.
Jan Łukasiewicz: ‘Philosophische Bemerkungen zu mehrwertigen Systemen des Aussagenskalkuls,’ Comptes Rendus des Seances de la Société des Sciences et des Lettres de Varsovie ,Classe III 23 (1930), 51–71. [Polish translation (‘Uwagi filozoficzne o wielowartościowych systemach rachunku zdań’) by Egon Vielrose in Łukasiewicz (1961), pp. 144–163. English translation (‘Philosophical Remarks on Many-valued Systems of Propositional Logic’) by H. Weber in McCall (1967), pp. 40–65. English translation reprinted in Łukasiewicz (1970), pp. 153–178.] [Reviewed by Rose Rand in JSL 33 (1968), 131–132.]
See Łukasiewicz and Tarski (1930).
Jan Łukasiewicz and Alfred Tarski: ‘Untersuchungen über den Aussagenkalkül,’ Comptes Rendus des Seances de la Societe des Sciences et des Lettres de Varsovie, Classe III 23 (1930), 1–21, 30–50. [English translation (‘Investigations into the Sentential Calculus’) by J. H. Woodger in Alfred Tarski, Logic, Semantics, Meta- mathematics, edited by J. H. Woodger, Oxford (Clarendon Press) 1956, pp. 38–59. Polish translation (‘Badania nad rachunkiem zdan’) by Egon Vielrose in Łukasiewicz (1961), pp. 129–143. English translation reprinted in Lukasiewicz (1970), pp. 131–152.] [Reviewed by Rose Rand in JSL 33 (1968), 130–131.]
See Łukasiewicz and Tarski (1930).
Jan Łukasiewicz: ‘Z historji logiki zdań,’ Przeglyd Filozoficzny 37 (1934), pp. 417–437. Reprinted in Lukasiewicz (1961), pp. 178–194. [English translation (‘On the History of the Logic of Propositions’) by Storrs McCall in MacCall (1967), pp. 66–87. English translation reprinted in Łukasiewicz (1970), pp. 197–218.]
Grigor Constantin Moisil: ‘Recherches sur l’algebre de la logique,’ Annales Scientifiques de I ‘Universite de Jassy 22 (1936), 1–118.
Donald L. Webb: Many-valued Logics. Ph.D. dissertation: California Institute of Technology, 1936.
Jan Lukasiewicz: ‘Wobronie logistyki,’ Studia Gnieseusia 15 (1937). Reprinted in Łukasiewicz (1961), pp. 210–219. [English translation (‘In Defense of Logistic’) by Olgierd Wojtasiewicz in Łukasiewicz (1970), pp. 236–249.] [Reviewed by M. Kokoszynska in JSL, 3 (1938), 43–44.]
See McCoy and Montgomery (1937). McCoy and Montgomery (1937).
N. and D. Montgomery: ‘A Representation of Generalized Boolean Rings,’ Duke Mathematical Journal 3 (1937), 455–459.
See McCoy and Montgomery (1937).
See Nakasima and Hanzawa (1938).
Jan Łukasiewicz: ‘Die Logik und das Grundlagenproblem,’ Les Entretiens de Zurich sur les Fondements et la Methode des Sciences Mathématiques, 6–9 décembre 1938, edited by F. Gonseth, Zurich (S. A. Leemann Freres & Cie) 1941, pp. 82–100; ‘Discussion,’ pp. 100–108. [English translation (‘Logic and the Problem of the Foundations of Mathematics’) from the Polish by Olgierd Wojtasiewicz in Łukasiewicz (1970), pp. 278–294.] [Reviewed by Saunders MacLane in JSL 7 (1942), p. 36; by Haskell B. Curry in MR 2 (1941), pp. 338–339.]
Grigor Constantin Moisil: ‘Sur la theorie classique de la modalite des jugements,’ Bulletin Mathématique de la Société Roumanie des Sciences 40 (1938), 235–240. Reprinted in Moisil (1972), pp. 47–55. [Reviewed by C. A. Baylis in JSL 4 (1939), 167–168.]
See Nakasima and Hanzawa (1938).
A. Nakasima and M. Hanzawa: ‘The Theory of Equivalent Transformations of Simple Partial Paths in the Relay Circuit,’ Nippon Electrical Communication Engineering 9 (1938), 32–39.
Donald L. Webb. ‘A Set of Postulates for an Algebra of N-valued Logic,’ The Journal of Symbolic Logic 3 (1938), 60.
Grigor Constantin Moisil: ‘Recherches sur le syllogisme,’ Annales Scienti- fiques de I’Universite de Jassy 25 (1939), 341–384. [Reviewed by Ernest Nagel in JSL 4 (1939), 167.]
Grigor Constantin Moisil: ‘La logique formelle et son probleme actuel,’ Istoria Filosofici Moderne (Bucharest) 4 (1939), 28 pp. Reprinted in Moisil (1972), pp. 11–31. [Reviewed by Robert Feys in JSL 13 (1948), p. 160.]
H. Piesch: ‘Begriff der allgemeinen Schaltungstechnik,’ Archiv fur Elektrotechnik 33 (1939), 672–686.
Grigor Constantin Moisil: ‘Recherches sur les logique non-chrysippiènnes,’ Annales Scientifique de I’Université de Jassy, 26 (1940), 431–466. Reprinted in Moisil (1972), pp. 195–232. [Reviewed by Albert A. Bennett in JSL 13 (1948), p. 50; by G. Birkhoffin MR 8 (1947), 307.]
Grigor Constantin Moisil: ‘Sur la structure algèbrique de la logique de M. Bochvar,’ Disquisitiones Mathematicae et Physicae 1 (1940–41), 307–314. Reprinted in Moisil (1972), pp. 676–684. [Reviewed by Atwell R. Turquette in JSL 13 (1948), 116; by Arend Heyting in MR 8 (1947), 557.]
Grigor Constantin Moisil: ‘Notes sur les logiques non-chrysippiennes,’ Annales Scientifiques de I’Université de Jassy 27 (1941), 86–98. Reprinted in Moisil (1972), pp. 233–243. [Reviewed by Albert A. Bennett in JSL 13 (1948), 50; by G. Birkhoff in MR 8 (1947), 307.]
Grigor Constantin Moisil: “Contributions a l‘etude des logiques non-chrysippiènnes’. I. Un nouveau systeme d’axiomes pour les algebres Łukasiewicziennes tetravalentes,” Comptes Rendus des Seances de I’Académie des Sciences de Roumanie 5 (1941), 289–293. Reprinted in Moisil (1972), pp. 282–287. [Reviewed by Robert Feys in JSL 13 (1948), 160.]
Grigor Constantin Moisil: ‘Remarques sur la logique modale du concept,’ Annales de I’Académie Roumanie, Memoires de la Section Scientifique ,serie 3, 16 (1941), 975–1012. Reprinted in Moisil (1972), pp. 56–98. [Reviewed by Atwell R. Turquette in JSL 13(1948), 161–162.]
Grigor Constantin Moisil: ‘Sur les anneaux de caracteristique 2 ou 3 et leurs applications,’ Bulletin de I’École Poly technique de Bucarest 12 (1941), 66–90. Reprinted in Moisil (1972), pp. 259–282. [Reviewed by Robert Feys in JSL 13 (1948), 160–161.]
Grigor Constantin Moisil: ‘Sur les theories déductives à logique non-chrysippiènne,’ Comptes Rendus des Séances de I’Académie des Sciences de Roumanie 5 (1941), 21–24. Reprinted in Moisil (1972), pp. 189–191.
V. I. Shestakov: ‘Algébra dvuhpolúsnyh shem, postroénnyh isklúčitel’no iz dvuhpolúsnikov (Algebra A-shém),’ Avtomatika i Télémehanika 2 (1941), 15–24. Also printed in Žurnal Téhničéskoj Fiziki 11 (1941), 532–549.
Grigor Constantin Moisil: ‘Logique modale,’ Disquisitiones Mathematicae et Physicae 2 (1942), 3–98. Reprinted in Moisil (1972), pp. 341–431. [Reviewed by Atwell R. Turquette in JSL 13 (1948), 162–163; by Arend Heyting in MR 8 (1947), 577.]
Grigor Constantin Moisil: ‘Contributions a l’etude des logiques non-chrysippiènnes. II. Anneaux engendrés par les algèbres Łukasiewicziennes tetravalentes centrées,’ Comptes Rendus des Séances de I’Académie des Sciences de Roumanie 6 (1942), 9–13. Reprinted in Moisil (1972), pp. 287–292.
Grigor Constantin Moisil: ‘Contributions a l’etude des logiques non-chyrisippiennes. III. Anneaux engendrés par les algébres Łukasiewicziennes tetravalentes axées,’ Comptes Rendus des Séances de I’Académie des Sciences de Roumanie 6 (1942), 14–17. Reprinted in Moisil (1972), pp. 293–297.
See McCulloch and Pitts (1943).
W. S. McCulloch and W. Pitts: ‘A Logical Calculus of the Ideas Immanent in Nervous Activity,’ Bulletin of Mathematical Biophysics 5 (1943), 115–133.
Grigor Constantin Moisil: ‘Contributions a l’étude des logiques non-chrysippiènnes. IV. Sur la logique de M. Becker,’ Comptes Rendus des Séances de I’Académie des Sciences de Roumanie 7 (1943), 9. Reprinted in Moisil (1972), 673–675. [Reviewed by Arend Heyting in MR 9 (1948), 1.]
See McCulloch and Pitts (1943).
Atwell Rufus Turquette: A Study and Extension of M–valued Logics. Ph.D. dissertation: Cornell University, 1943.
Jerzy Łos. O matrycach logicznych .Wrocław (Prace Wrocławskiego Towarzy-stwa, Naukowego, series B, no. 19) 1949. [English translation (‘On Logical Matrices’) by Dolph E. Ulrich in Ulrich (1967), pp. 71–129.] [Reviewed by Jan Kalicki in JSL 16 (1951), 59–61.]
Engineering Research Associates: High-Speed Computing Devices. New York ( McGraw-Hill Book Company, Inc. ) 1950.
Schiller Joe Scroggs: ‘Extensions of the Lewis System S5,’ The Journal of Symbolic Logic 16 (1951), 112–120. [Reviewed by Naoto Yonemitsu in JSL 16 (1951), 272–273; by Arend Heyting in MR 13 (1952), 97.]
H. J. R. Grosch; ‘Signed Ternary Arithmetic,’ Digital Computer Laboratory Memorandum M-1496 at MIT, Cambridge, Massachusetts, May 1952.
Jan Łukasiewicz: ‘On the Intuitionistic Theory of Deduction,’ Koninklijke Nederlandse Akademie van Wetenschappen, Proceedings ,series A 55 (1952), 202–212. Also printed in Indagationes Mathematicae 14 (1952), 202–212. Reprinted in Łukasiewicz (1970), pp. 325–340. [Polish translation in Łukasiewicz (1961).] [Reviewed by Gene F. Rose in JSL 19 (1954), 216; by Arend Heyting in MR 14 (1953), 4; by H. Scholz in ZMG 48 (1953), 4.]
K. J. Cohen: ‘A Remark on Lukasiewicz’s ‘On the Intuitionistic Theory of Deduction’,’ Koninklijke Nederlandse Akademie van Wetenschappen, Proceedings, series A 56 (1953), 111–112. Also printed in Indagationes Mathematicae 15 (1953), 111–112. [Reviewed by Gene F. Rose in JSL 19 (154), 217.]
Jan Łukasiewicz: ‘A System of Modal Logic,’ The Journal of Computing Systems 1 (1953), 111–149. Reprinted in Łukasiewicz (1970), pp. 352–390. [Polish translation in Łukasiewicz (1961).] [Reviewed by Ronald Harrop in JSL 25 (1960), 293–296; by Alan Rose in MR, 15 (1954), 2.]
Jan Łukasiewicz: ‘Comment on K. J. Cohen’s Remark,’ Koninklijke Nederlandse Akademie van Wetenschappen, Proceedings, series A 56 (1953), 113. Also printed in Indagationes Mathematicae 15 (1953), 113. [Reviewed by Gene F. Rose in JSL 19(1954), 217.]
Alan Ross Anderson: ‘On the Interpretation of a Modal System of Łukasiewicz,’ The Journal of Computing Systems 1 (1954), 209–210. [Reviewed by Ronald Harrop in JSL 25 (1960), 295; by Alan Rose in MR 16(1957), 554.]
A. C. Choudhyry: ‘On Boolean Narings,’ Bulletin of the Calcutta Mathematical Society 46 (1954), 41–45. [Reviewed by I. Kaplansky in MR, 16 (1955), 107.]
Programming Research Group, Applied Science Division, IBM: ‘Preliminary Report, Specifications for the IBM Mathematical FOR-mula TRANslating System, FORTRAN,’ November 10, 1954.
T. Ryoichi: ‘On Nine-valued Propositional Calculus,’ The Journal of Computing Systems 1 (1954), 225–228.
H. E. Chresterson: ‘A Class of Generalized Walsh Functions,’ Pacific Journal of Mathematics 5 (1955), 17–31.
G. Metze: ‘An Application of Multi-valued Logic Systems to Circuits,’ Proceedings of the Symposium on Circuit Analysis, University of Illinois (1955), pp. 11–1–11–14.
Karl Schroter: ‘Methoden zur Axiomatisierung beliebiger Aussagen- und Pradikatenkalkule,’ Zeitschrift für mathematische Logik und Grundlagen der Mathe- matik 1 (1955), 241–251. [Reviewed by Abraham Robinson in MR 17 (1956), 1038; by J. Barkley Rosser in JSL 35 (1970), 140.]
Arend Heyting: Intuitionism: An Introduction. Amsterdam (North-Holland Publishing Company) 1956. Third, revised edition, 1971. [Reviewed by Sigekato Kurodain JSL 21 (1956), 367–371; by P. C. Gilmore in MR 17(1956), 698–699.]
Stephan Cole Kleene: ‘Representation of Events in Nerve Nets and Finite Automata,’ Automata Studies, Princeton (Princeton University Press) 1956, pp. 3–41.
Angelo Margaris: A Problem of Rosser and Turquette in Many-valued Logic. Ph.D. dissertation: Cornell University, 1956. Ann Arbor (University Microfilms) 1957.
Alan Rose: ‘Formalisations du calcul propositionnel implicatif a K0 valeurs de Lukasiewicz,’ Comptes Rendus Hebdomadaires des Séances de I’Académie des Sciences ,série A 243 (1956), 1183–1185, 1263–1264 (à m valeurs). [Reviewed by Elliot Mendelson in MR 18 (1959), 271–272, 633; by E. Specker in ZMG 73 (1960), 249; by Bruno Scarpellini in JSL 35 (1970), 142; by Eugen Mihailescu (the section on m-valued logic) in JSL 36 (1971), 546.]
Chen Chung Chang: ‘Algebraization of Infinitely Many-valued Logic,’ Summaries of Talks Presented at the Summer Institute for Symbolic Logic, second edition, Communications Research Division, Institute for Defense Analyses, Princeton, 1960, pp. 144–146. [Reviewed by Alfred Horn in JSL 36 (1971), 159–160.]
Sören Halldén: On the Logic of ‘Better’. Library of Theoria, no. 2. Lund (C. W. K. Gleerup) and Copenhagen (Ejnar Munksgaard) 1957. 112 pp. [Reviewed by E. E. Dawson in JSL 31 (1966), 278–281.]
See Kreisel and Putnam (1957).
George Kreisel and Hilary Putnam: ‘Eine Unableitbarkeits-beweismethode für den intuitionistischen Aussagenkalkül,’ Archiv fur mathematische Logik und Grundlagenforschungen 3 (1957), 74–78.
Grigor Constantin Moisil: Teoria Algebrica de Meccanismi Automatici. Conferenze del seminario di matematica dell’Universita di Bari, no. 33–34. Bologna (Nicola Zanichella Editore) 1957. [Reviewed by Alonzo Church in JSL 36 (1971), p. 547.]
See Kreisel and Putnam (1957).
Thoralf Skolem: ‘Mengenlehre gegründet auf einer Logik mit unendlich vielen Wahrheitswerten,’ Sitzungsberichte der Berliner mathematischen Gesellschaft (1957–58), 41–56. [Reviewed by J. R. Schoenfield in MR 27 (1964), 681; by A. Oberschelp in ZMG 116 (1965), 9.]
Thoralf Skolem: ‘Bemerkungen zum Komprehensionsaxiom,’ Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 3 (1957), 1–17. Reprinted in Skolem (1970), pp. 615–632. [Reviewed by Haskell B. Curry in MR 20 (1959), 508; by Azriel Levy in JSL 32 (1967), 128; by Wilhelm Ackermann in ZMG 116 (1965), 9.]
J. W. Backus: ‘The Syntax and Semantics of the Proposed International Algebraic Language of the Zurich ACM-GAMM Conference,’ IBM, New York, May 1958.
Chen Chung Chang: ‘Algebraic Analysis of Many-valued Logics,’ Transactions of the American Mathematical Society 88 (1958), 467–490. [Reviewed by Bernard A. Galler in MR 20 (1959), 132; by Alan Rose in ZMG 84 (1960), 7–8; by Alfred Horn in JSL 36 (1971), 159–160.]
Henryk Greniewski: ‘Refleksje na marginesie wikladow z driejowlogik Tadeusza Kotarbinskiego,’ Studie Filozoficzne 3 (1958), 165.
John King-Farlow: ‘Sea-fights without Tears,’ Analysis 19 (1958), 36–42. [Reviewed by Ronald J. Butler in JSL 36 (1971), 175–177.]
Angelo Margaris: ‘A Problem of Rosser and Turquette,’ The Journal of Symbolic Logic 23 (1958), 271–279. [Reviewed by Alan Rose in MR 21 (1960), 901; by Akira Nakamura in JSL 34 (1969), 304–305.]
E. Muhldorf: ‘Ternary Switch Algebras,’ Archiv der elektrischen Übertragung 12 (1958).
See Prior (1959).
Helmut Thiele: ‘Theorie der endlichwertigen Łukasiewiczschen Pradikaten-kalkiile der ersten Stufe,’ Zeitschrift für mathematische Logik und Grundlagen der Mathematik 4 (1958), 108–142. [Reviewed by Wilhelm Ackermann in ZMG 88 (1961), 247; by Atwell R. Turquette in JSL 32 (1967), 260–261.]
Chen Chung Chang: ‘A New Proof of the Completeness of the Łukasiewicz Axioms,’ Transactions of the American Mathematical Society 93 (1959), 74–80. [Reviewed by Alan Rose in MR 23 (1962), 7; by Alfred Horn in JSL 36 (1971), 159–160.]
See Carr and Perlis and Robertson and Scott (1959).
J. W. Carr III, Alan J. Perlis, J. E. Robertson and N. R. Scott: ‘A Visit to Computation Centers in the Soviet Union,’ Communications of the Association for Computing Machinery 2 no. 6 (1959), 8–20.
Michael A. E. Dummett: ‘A Propositional Calculus with Denumerable Matrix,’ The Journal of Symbolic Logic 24 (1959), 97–106. [Reviewed by George Kreisel in MR 23 (1962), 139; by John Bacon in JSL 33 (1968), 305.]
E. I. Muhldorf: ‘Multivalued Switching Algebras and Their Applications in Digital Systems,’ Proceedings of the National Electronic Conference 15 (1959), 467–480.
See Carr and Perlis and Robertson and Scott (1959).
Arthur Norman Prior: ‘Notes on a Group of New Modal Systems,’ Logique et Analyse, n.s., 2 (1959), 122–127. [Reviewed by Maxwell J. Cresswell in JSL 35 (1970), 464.]
See Carr and Perlis and Robertson and Scott (1959).
See Carr and Perlis and Robertson and Scott (1959).
Toshio Umezawa: ‘On Logics Intermediate Between Intuitionistic and Classical Predicate Logic,’ The Journal of Symbolic Logic 24 (1959), 141–153. [Reviewed by A. S. Troelstra in JSL 33 (1968), 607; by Tsutomu Hosoi in ZMG 143 (1968), 10–11.]
J. Again: “Setun’” (Russian), Naučno-Tehnikceskaà Obshchestva SSSR2 no. 3 (1960), p. 25.
See Morris and Alexander (1960).
N. P. Brusentzov: ‘The computer Setun’ of Moscow State University’ (Russian), Material of the Scientific-Technical Conference: New Developments in Computational Mathematics and Computing Techniques, Kiev (1960), pp. 226–234.
Burton Dreben: Relation of ra-valued Quantificational Logic to 2-valued Quantificational Logic,’ Summaries of Talks Presented at the Summer Institute for Symbolic Logic, Cornell University, Princeton (1960), pp. 303–304. [Reviewed by Atwell R. Turquette in JSL 30 (1965), 375–376; by Akira Nakamura in ZMG 166 (1969), 250.]
George Epstein: ‘The Lattice Theory of Post Algebras,’ Transactions of the American Mathematical Society 95 (1960), 300–317. [Reviewed by Tadeusz Traczyk in JSL 33 (1968), 626; by Bernard A. Galler in MR 22 (1961), 626–627; by Akira Nakamura in ZMG 207 (1971), 294–295.]
T. D. Majstrova: ‘Priménénie mnogoznačnoj logiki v téorii réléjnyh shém,’ Priménénie Logiki v Nauke i Téhnike, Moscow (Izdatél’stvo Akadémii Nauk SSSR) 1960, pp. 394–414. [English translation (‘Application of Many-valued Logics in the Theory of Relay Networks’) by Leo Ebner in American Mathematical Society Translations, series 2, 48 (1965), 73–89.] [Reviewed by Alan Rose in JSL 37 (1972), 187.]
V. V. Martyniuk: ‘Issledovanie nekotorykh klassov funktsij v mnogoz-nacnykh logika, II’ (Investigation of certain classes of functions in many-valued logic), Problémy Kibérnétiki 3 (1960), 49–60. [Reviewed by S. I. Adjan in MR 23 (1962), 699.]
Grigor Constantin Moisil: ‘Sur les idéaux des algébres Lukasiewicziennes trivalentes,’ Analele Universitatu Bucuresti, Seria Acta Logica 3 (1960), 83–95. Reprinted in Moisil (1972), pp. 244–258. [Reviewed by Gene F. Rose in JSL 27 (1962), 367–368; by Alan Rose in MR 26 (1963), 691; by Albert A. Mullin in ZMG 103 (1964), 248–249.]
Grigor Constantin Moisil: ‘Asupra logicii lue Bochvar’ (On the logic of Bochvar), Academia Republicii Populare Romine, Analele Romino-Sovietice, Seria Matematica-Fizica (Bucharest) 14 (1960), 19–25. [French translation (‘Sur la logique de M. Bochvar’) in Moisil (1972), pp. 685–693.] [Reviewed by B. Germansky in MR 23 (1962), 138.]
Grigor Constantin Moisil: Logica matematica si teknica moderna: Logicile cu mai multe valori si circuitele cu contacte si relee (Mathematical logic and modern technology: Many-valued logic and relay-contact circuits), Probleme filosofice ale steintelor naturii, Bucharest (Académie de la République Populaire Roumanie) 1960. [French translation (‘Les logiques à plusieurs valeurs et les circuits à contacts et relais’) in Moisil (1972), pp. 104–148.]
See Morris and Alexander (1960).
D. J. Morris and W. Alexander: ‘An Introduction to the Ternary Code Number System,’ Electronic Engineering 32 (1960), 554–557.
See Schauer and Stewart and Pohm and Reid (1960).
See Schauer and Stewart and Pohm and Reid (1960).
Alan Rose: ‘An Extension of a Theorem of Margaris,’ The Journal of Symbolic Logic 25 (1960), 209–211. [Reviewed by Bernard A. Galler in MR 25 (1963), 390; by Akira Nakamura in JSL 34 (1969), 305.]
Alan Rose: ‘Sur les schemas d’axiomes pour les calculs propositionnels a m valeurs ayant des valeurs sur designees,’ Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, serie A 250 (1960), 790–792. [Reviewed by Elliott Mendelson in MR 22 (1961), 109; by Eugen Mihailescu in JSL 36 (1970), 546.]
Arto Salomaa: ‘A Theorem Concerning the Composition of Functions of Several Variables Ranging Over a Finite Set,’ The Journal of Symbolic Logic 25 (1960), 203–208.
Arto Salomaa: ‘On the Composition of Functions of Several Variables Ranging Over a Finite Set,’ Annales Universitatis Turkuensis, Series A. I., 41 (1960).
See Schauer and Stewart and Pohm and Reid (1960).
R. Schauer, R. Stewart, A. Pohm and A. Reid: Some Applications of Magnetic Film Parametrons as Logical Devices, IRE Transactions on Electronic Computers EC- 19 (1960), 315–320.
V. I. Šestakov: ‘O dvojnoj arifmétičéskoj intérprétacii tréhznačnogo isčisléniá vyskazyvanij, ispol’zuémoj pri modélirovanii etogo isčislénia posrédstvom réléjno-kommutatornyh shém,’ Priménénie Logiki v Nauke i Tehnike, Moscow (Izdatel’- stvo Akadémii Nauk SSSR) 1960, pp. 341–376. [English translation (‘A Dual Arithmetic Interpretation of the 3-valued Propositional Calculus Utilized in the Simulation of this Calculus by Relay-contact Networks’) by Leo Ebner in American Mathematical Society Translations, series 2 48 (1965), 45–72.] [Reviewed by Bernard A. Galler in MR 33 (1967), 664; by Alan Rose in JSL 37 (1972), 187.]
Thoralf Skolem: ‘A Set Theory Based on a Certain 3-valued Logic,’ Mathematica Scandinavica 8 (1960), 127–136. Reprinted in Skolem (1970), pp. 653–662. [Reviewed by Wilhelm Ackermann in ZMG 96 (1962), 243; by Alan Rose in MR 23 (1962), 699.]
See Schauer and Stewart and Pohm and Reid (1960).
M. C. Badillo: ‘Many-valued logics of systems’ (Spanish), Gaceta Matematica (Madrid) 13 (1961), 185–195. [Registered in ZMG 156 (1969), 7.]
See Chang and Horn (1961).
Chen Chung Chang and Alfred Horn: ‘Prime Ideal Characterization of Generalized Post Algebras,’ Proceedings of the Symposium of Pure Mathematics 2 (1961), 43–48. [Reviewed by P. L. Gilmore in ZMG 108 (1964), 5–6; by Tadeusz Traczyk in JSL 34 (1969), 512.]
Mark Fisher: ‘A Three-valued Calculus for Deontic Logic,’ Theoria 27 (1961), 107–118. [Reviewed by E. E. Dawson in JSL 31 (1966), 278–281.]
See Chang and Horn (1961).
Jan Łukasiewicz: Z Zagadnieh Logiki i Filozofii (Logical and philosophical papers), edited by Jerzy Słupecki. Warsaw (Państwowe Wydawnictwo Naukowe) 1961. [Reviewed by Rose Rand in JSL 33 (1968), 129–133.]
See Majstrova and Roghinski (1961).
T. D. Majstrova and V. I. Roghinski: ‘Réléjnye shémy i mnogozačinaà logika’ (Relay networks and many-valued logics), Problemy Peredači Informacii 121 (1961), 18.
Miroslav Mleziva: ‘K axiomatisaci trojhodnotvé vyrokové logiky’ (On the axiomatization of three-valued propositional logic), Časopis pro Pěstovani Matematiky (Prague) 86 (1961), 392–403. [Reviewed by the author in MR 24 (1962), 335; by J. Hořejs in ZMG 100 (1963), 9; by Ann S. Ferebee in JSL 35 (1970), 465.]
Grigor Constantin Moisil: ‘Les logiques à plusieurs valeurs et l’automatique,’ Infinitistic Methods, Proceedings of the Symposium on Foundations of Mathematics, Warsaw, 2–9 September 1959, Warsaw (Panstwowe Wydawnicto Naukowe) 1961 and Oxford (Pergamon Press) 1961, pp. 337–345. [Reviewed by Alonzo Church in JSL 36 (1971), 546–547.]
Grigor Constantin Moisil: ‘The Predicate Calculus in Three-valued Logic,’ Analele Universitati Bucuresti, Seria Acta Logica 4 (1961), 103–112. [French translation published as chapter II of Moisil (1972g), pp. 447–454.] [Reviewed by Albert A. Mullin in ZMG 103 (1964), 247.]
Andrzej Mostowski: ‘Axiomatizability of Some Many-Valued Predicate Calculi,’Fundamenta Mathematicae 50 (1961), 165–190. [Reviewed by George Kreisel in MR 24 (1962), 572–573; by Arnold Oberschelp in ZMG 99 (1963), 7–8; by Louise Hay in JSL 35 (1970), 143.]
Andrzej Mostowski: ‘An Example of a Non-axiomatizable Many-valued Logic,’ Zeitschrift für mathematische Logik und Grundlagen der Mathematik 7 (1961), 72–76. [Reviewed by Alan Rose in MR 30 (1965), 203–204; by J. J. F. Nieland in ZMG 124(1966), 248; by Louise Hay in JSL 35 (1970), 143.]
See Majstrova and Roghinski (1961).
Timothy J. Smiley: ‘On Łukasiewicz’s Ł-modal System,’ Notre Dame Journal of Formal Logic 2 (1961), 149–153. [Reviewed by Alonzo Church in JSL 27 (1962), 113; by Alan Rose in MR 26 (1963), 690; by J. J. F. Nieland in ZMG 113 (1965), 5]
Aleksandr Aleksandrovich Zinov’ev: ‘Ob odnom sposobe obzora funkcij istinnosti n-znacnogo iscislenia vyskazyvanij’ (A method of describing the truth-functions of the n-valued propositional calculus), Studia Logica 11 (1961), 217–222. [Reviewed by E. J. Cogan in MR 24 (1962), 6; by Ivo Rosenberg in JSL 36 (1971), 691.]
See Bailey and Epstein (1962).
J. S. Bailey and George Epstein: ‘Single Function Shifting Counters,’ Journal of the Association for Computing Machinery 9 (1962), 375–378.
See Brusentzov and Zhogolev and Verigin and Maslov and Tishulian (1962).
N. P. Brusentzov, Y. A. Zhogolev, V. V. Verigin, S. P. Maslov and A. M. Tishulina: ‘The Setun’ small automatic Digital Computer’ (Russian), Moskovski Universitet Vestnik 4 (1962), 3–12.
Robert A. Bull: ‘The Implicational Fragment of Dummett’s LC,’ The Journal of Symbolic Logic 21 (1962), 189–194. [Reviewed by John Bacon in JSL 33 (1968), 305; by H. Ribeiro in MR 31 (1966), 592; by George Kreisel in ZMG 113 (1965), 3.]
Charles E. Caton: ‘A Stipulation of Logical Truth in a Modal Propositional Calculus,’ Synthese 14 (1962), 196–199. [Reviewed by Alan Rose in MR 40 (1970), 235; by Maxwell J. Cresswell in ZMG 168 (1969), 5.]
See Bailey and Epstein (1962).
Angelo Fadini: ‘II calcolo delle classi in una logica a tre valori di verità,’ Giornale di Matematiche di Battaglini (Naples) 10 (1962), 72–92. [Reviewed by H. Ribeiro in MR 30 (1965), 203; by G. T. Kneebone in ZMG 122 (1966), 9.]
See Hallworth and Heath (1962).
R. P. Hallworth and F. G. Heath: ‘Semiconductor Circuits for Ternary Logic,’ Proceedings of the IEE C-109 (1962), 219–225. Heath (1962). See Hallworth and Heath (1962).
See Brusentzov and Zhogolev and Verigin and Maslov and Tishulina (1962).
Grigor Constantin Moisil: ‘Sur la logique à trois valeurs de Łukasiewicz,’ Analele Universitătii Bucuresti, Seria Acta Logica 5 (1962), 103–117. Reprinted in Moisil (1972), pp. 432–442. [Reviewed by Gene F. Rose in JSL 27 (1962), 368; by Atwell R. Turquette in MR 26 (1963), 1144–1145; by Alan Rose in ZMG 121 (1966), 11.]
Akira Nakamura: ‘Tati ronri so no kôrikei ni tuite’ (On the many-valued logics and an axiomatic system for them), Kagaku kisoron kenkyû (Journal of the Japan Association for Philosophy of Science) 5 (1962), 165–171. [Reviewed by Takeo Sugihara in JSL 31 (1966), 274–275.]
Akira Nakamura: Yôsô ronri to tati ronri no kankei ni tuite’ (On the relation between modal logic and many-valued logic), Kagaku kisoron kenkyû (Journal of the Japan Association for Philosophy of Science) 6 no. 1 (1962), 34–40 and 6 no. 4 (1964), 15–20. [Reviewed by Takeo Sugihara in JSL 35 (1970), 582.]
‘Remarques sur la machine universelle de Turing,’ Comptes Rendus Hebdomadaires des Séances de I’Académie des Sciences, série A, 255 (1962), 2044–2045. [Reviewed by the author in ZMG 253 (1973), 21.]
Arto Salomaa: ‘Some Completeness Criteria for Sets of Functions Over a Finite Domain. I,’ Annales Universitatis Turkuensis, series A. I. 53 (1962). [Reviewed by Alan Rose in ZMG 103 (1963), 245.]
Ivo Thomas: ‘On the Infinity of Positive Logic,’ Notre Dame Journal ofFormal Logic 3 (1962), 108. [Reviewed by John Bacon in JSL 33 (1968), 306.]
Ivo Thomas: ‘Finite Limitations on Dummett’s LC,’ Notre Dame Journalof Formal Logic 3 (1962), 170–174. [Reviewed by John Bacon in JSL 33 (1968), 305.]
See Brusentzov and Zhogolev and Verigin and Maslov and Tishulina (1962).
Tadeusz Traczyk: ‘On Axioms and Some Properties of Post Algebras,’ Bulletin de I’Academie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 10 (1962), 509–512. [Reviewed by George Grätzer in JSL 34(1969), 121.]
See Brusentzov and Zhogolev and Verigin and Maslov and Tishulina (1962).
Y. A. Zhogolev: ‘The order code and interpretative system for the Setun’ computer’ (Russian), USSR Computer and Mathematical Physics 1 (1962), 563–578.
See Brusentzov and Zhogolev and Verigin and Maslov and Tishulina Aqvist (1962).
Lennart Aqvist: ‘Reflections on the Logic of Nonsense,’ Theoria 28 (1962), 138–157. [Reviewed by Edward E. Dawson in JSL 33 (1968), 134–136.] Anderson (1963).
See Anderson and Dietmeyer (1963).
See Belluce and Chang (1963).
L. P. Belluce and Chen Chung Chang: ‘A Weak Completeness Theorem for Infinite-valued First-order Logic,’ The Journal of Symbolic Logic 28 (1963), 43–50. [Reviewed by Alan Rose in MR 34 (1967), 8; by Alan Rose in ZMG 121 (1966), 12; by Bruno Scarpellini in JSL 36 (1971), 332.]
Chen Chung Chang: ‘Logic with Positive and Negative Truth Values,’ Proceedings of a Colloquium on Modal and Many-Valued Logics, Helsinki, 23-26 August, 1962, Acta Philosophica Fennica, fasc. 16 (1963), 19–39. [Reviewed by Alan Rose in MR 28 (1964), 578; by Alan Rose in ZMG 129 (1967), 256–257; by Bruno Scarpellini in JSL 36 (1971), 331–332.]
Chen Chung Chang: ‘The Axiom of Comprehension in Infinite Valued Logic,’ Mathematica Scandinavica 13 (1963), 9–30. [Reviewed by H. J. Keisler in MR 29 (1965), 419–420; by Azriel Lèvy in JSL32 (1967), 128–129.]
See Belluce and Chang (1963).
See Anderson and Dietmeyer (1963).
V. M. Gnidenko: ‘Determinarea ordinelor claselor aproape complete in logica trivalenta,’ Analele Romano-Sovietice, Seria Automat. Cibern. (Bucharest) 2, 9–14.
Ian Hacking: ‘What is Strict Implication?,’ The Journal of Symbolic Logic 28 (1963), 51–71.
See Rabinowicz and Ivas’kiv (1963).
V. A. Ankov: ‘O nékotoryh superkonstruktivnyh isčisléniáh vyskazyvanij,’ Doklady Akademii Nauk SSSR 151 (1963), 796–798. [English translation (‘Some Superconstructive Propositional Calculi’) by Sue Walker in Soviet Mathematics 4 (1963), 1103–1105.] [Reviewed by Gene F. Rose in JSL 35 (1970), 138–139.]
V. A. Ankov: ‘O réalizuémyh formulah logiki vyskazyvanij,’ Doklady Akadémii Nauk SSSR 151 (1963), 1035–1037. [English translation (‘Realizable Formulas of Propositional Logic’) by Elliott Mendelson in Soviet Mathematics 4 (1963), 1146–1148.] [Reviewed by Gene F. Rose in JSL 35 (1970), 138–139.]
V. A. Ankov: ‘O svázi méždu vyvodimost’ú v intuičionistskom isčislénii vyskazyvanij i konéčnymi implikativnymi strukturami,’ Doklady Akadémii Nauk SSSR 151 (1963), 1293–1294. [English translation (‘The Relationships between Deducibility in the Intuitionistic Propositional Calculus and Finite Implicational Structures’) by Elliott Mendelson in Soviet Mathematics 4 (1963), 1203–1204.] [Reviewed by Gene F. Rose in JSL 35 (1970), 138–139; by George Kreisel in ZMG 143 (1968), 252.]
Zbigniew Jordan: ‘Logical Determinism,’ Notre Dame Journal of FormalLogic 4 (1963), 1–38. [Reviewed by G. T. Kneebone in MR 32 (1966), 666–667.]
Y. A. Keir: ‘The Functional Capability of the Saturable Hall Logic Element,’ Lockheed Missiles and Space Company, Sunnyvale California, Note E44, August 1963.
Vladimir G. Kirin: ‘On the Polynomial Representation of Operators in the n-valued Propositional Calculus,’ Gasnik Matematičko-Fizički i Astronomski, Društvo Matematičara i Fizičara Hrvatske, Serija II 18 (1963), 3–12. [Reviewed by E. J. Cogan in MR 29 (1965), 420; by R. L. Graham in JSL 37 (1972), 756.]
Grigor Constantin Moisil: ‘Le Algebre di Lukasiewicz,’ Analele Universitatii Bucuresti, Seria Acta Logica 6 (1963), 97–135. [Reviewed by C. Sicoe in JSL 37 (1972), 187; by Elliott Mendelson in ZMG 241 (1973), 12–13.]
Antonio Monteiro: ‘Sur la définition des algèbres de Lukasiewicz trivalentes,’ Bulletin Mathématique de la Société des Sciences Mathématiques et Physiques de la Republique Populaire de Roumanie, n.s. 7 (55) (1963), 3–12. [Reviewed by Eugen Mihăilescu in JSL 32 (1967), 398–399; by Chen Chung Chang in MR 33 (1967), 6; by Jens Erik Fenstad in ZMG 143 (1968), 6.]
Luiz F. T. Monteiro: ‘Axiomes independents pour les algèbres de Łukasiewicz trivalentes,’ Bulletin Mathematique de la Societe des Sciences Mathematiques et Physiques de la Republique Populaire Roumanie, n.s. 7 (1963), 199–202. Reprinted as Notas de Logica Matematica n° 22, Instituto de Matematica, Universidad Nacional de Sur, Bahia Blanca (1964). [Reviewed by Eugen Mihailescu in JSL 32 (1967), 399; by Jens Erik Fenstad in ZMG 143 (1968), 6.]
Akira Nakamura: On a Simple Axiomatic System of the Infinitely Many-valued Logic Based on → Zeitschrift für mathematische Logik und Grundlagen der Mathematik 9 (1963), 251–263. [Reviewed by Arto Salomaa in JSL 30 (1965), 374–375; by Chen Chung Chang in MR 28 (1964), 681; by J. J. F. Nieland in ZMG 121 (1966), 11–12.]
Arthur Norman Prior: ‘The Theory of Implication,’ Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 9 (1963), 1–6. [Reviewed by Alan Ross Anderson in JSL 31 (1966), 665–666; by Alan Rose in MR 26 (1963), 691; by J. J. F. Nieland in ZMG 124 (1966), 246.] Rabinowicz (1963). See Rabinowicz and Ivas’kiv (1963).
See Z. L. Rabinowicz and Yu. L. Ivas’kiv (1963).
Z. L. Rabinowicz and Yu. L. Ivas’kiv (1963) ‘A Class of Canonical Forms for the Representation of 3-valued Functions,’ Engineering Cybernetics 3,p. 17.
Juliusz Reichbach: About Connection of the First-Order Functional Calculus with Many-valued Propositional Calculi,’ Zeitschrift für mathematische Logik und Grundlagen der Mathematik 9 (1963), 117–124. [Reviewed by Alan Rose in MR 28,224; by George Kreisel in ZMG 163 (1969), 243.]
Nicholas Rescher: ‘A Probabilistic Approach to Modal Logic,’ Proceedings of a Colloquim on Modal and Many-valued Logics, Helsinki, 23–26 August, 1962, Acta Philosophica Fennica, fasc. 16 (1963), 215–226. [Reviewed by John P. Burgess in JSL 35 (1970), 583; by Atwell R. Turquette in MR 28 (1964), 403–404.]
Alan Rose: ‘A Formalisation of the Propositional Calculus Corresponding to Wang’s Calculus of Partial Predicates,’ Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 9 (1963), 177–198. [Reviewed by the author in ZMG 253 (1973), 16.]
Arto Salomaa: ‘Some Analogues of Sheffer Functions in Infinite-valued Logic,’ Proceedings of a Colloquium on Modal and Many-valued Logics, Helsinki, 23–26 August, 1962, Acta Philosophica Fennica, fasc. 16 (1963), 215–226. [Reviewed by N. M. Martin in JSL 31 (1966), 118–119; by Alan Rose in ZMG 121 (1966), 11; by Alan Rose in MR 34 (1967), 203.]
Arto Salomaa: On Essential Variables of Functions, Especially in the Algebra of Logic. Annales Academiae Scientiarum Fennicae, series A. I., Mathematica no. 339, Helsinki 1963, 11 pp. [Reviewed by Norman M. Martin in JSL 32 (1967), 539.]
Arto Salomaa: On Basic Groups for the Set of Functions Over a Finite Domain. Annales Academiae Scientiarum Fennicae, Series A.I., Mathematica no. 338, Helsinki 1963. [Reviewed by Ivo Rosenberg in JSL 33 (1968), 307; by Alan Rose in ZMG 121 (1966), II.]
Arto Salomaa: ‘Some Completeness Criteria for Sets of Functions Over a Finite Domain, II,’ Annales Universitatis Turkuensis, series A.I. 63 (1963). [Reviewed by Alan Rose in ZMG 113 (1965), 3–4.]
Tadeusz Traczyk: ‘Some Theorems on Independence in Post Algebras,’ Bulletin de I’Académie Polonaise des Sciences, Classe III 11 (1963), 3–8. [Reviewed by Ph. Dwinger in JSL 34 (1969), 303.]
Tadeusz Traczyk: ‘Axioms and Some Properties of Post Algebras,’ Colloquium Mathematicum 10 (1963), 198–209. [Reviewed by George Gratzer in JSL 34(1969), 121.]
Atwell R. Turquette: ‘Modality, Minimality, and Many-valuedness,’ Proceedings of a Colloquium on Modal and Many-valued Logics, Helsinki, 23–26 August, 1962, Acta Philosophica Fennica, fasc. 16 (1963), 261–276. [Reviewed by Alan Rose in MR 28 (1964), 578; by Alan Rose in ZMG 121 (1966), 12; by Akira Nakamura in JSL 37 (1972), 753–754.]
V. V. Višin: Toždéstvénnyé préobrazovaniá v četyréhznačnoj logiké,’ Doklady Akademii Nauk SSSR 150 (1963), 719–721. [English translation (‘Identical Transformations in Four-place Logic’) by J. N. Whitney in Soviet Mathematics 4 (1963), 724–726. [Reviewed by Ralph Seifert, Jr. in JSL 37 (1972), 762–763; by D. H. Potts in MR 34 (1967), 203; by Alan Rose in ZMG 147 (1968), 250.]
Aleksandr Aleksandrovich Zinov’ev: Philosophical Problems of Many- valued Logic, edited and translated by Guido Küng and D. D. Lomey. Dordrecht (D. Reidel Publishing Company) 1963. [Reviewed by J. Tucke in MR 28 (1964), 2–3; by Arto Salomaa in ZMG 119 (1966), 249–250.]
LennartÅqvist: ‘Deontic Logic Based on a Logic of ‘Better’,’ Proceedingsof a Colloquium on Modal and Many-valued Logics, Helsinki, 23–26 August, 1962, Acta Philosophica Fennica, fasc. 16 (1963), 285–290. [Reviewed by Edward E. Dawson in JSL 31 (1966), 278–281; by E. J. Lemmon in MR 31 (1966), 6–7.]
LennartÅqvist: ‘Postulate Sets and Decision Procedures for Some Systems of Deontic Logic,’ Theoria 29 (1963), 154–175. [Reviewed by Edward E. Dawson in JSL 31 (1966), 278–281.]
See Santos and Arango (1964).
Lawrence P. Belluce: ‘Further Results on Infinite-valued Predicate Logic,’ The Journal of Symbolic Logic 29 (1964), 69–78. [Reviewed by Alan Rose in MR 31 (1966), 209; by Chen Chung Chang in ZMG 127 (1967), 8; by Bruno Scarpellini in JSL 36 (1971), 332.]
Lawrence Peter Belluce: The Theory of Infinite Valued Predicate Logic. Ph.D. dissertation: University of California at Berkeley, 1964. Ann Arbor (University Microfilms) 1964.
Robert A. Bull: ‘An Axiomatization of Prior’s Modal Calculus Q,’ Notre Dame Journal of Formal Logic 5 (1964), 211–214. [Reviewed by K. Ono in MR 34 (1967), 202; by Maxwell J. Cresswell in JSL 35 (1970), 464.]
Robert A. Bull: ‘Some Results for Implicational Calculi,’ The Journal of Symbolic Logic 29 (1964), 33–39. [Reviewed by John Bacon in JSL 33 (1968), 306; by J. J. F. Nieland in ZMG 154 (1968), 5.]
Dario Casenoves: ‘L-algebres, multivalent logice,’ Revista de la Real Academia de Ciencias Exacta, Fisicasy Naturales de Madrid 58 (1964), 215–237.
Hector-Neri Castañeda: ‘A Note on S5,’ The Journal of Symbolic Logic 29 (1964). 191–192. [Reviewed by Atwell R. Turquette in JSL 31 (1966), 275.]
Jens Erik Fenstad: ‘On the Consistency of the Axiom of Comprehension in the Lukasiewicz Infinite-valued Logic,’ Mathematica Scandinavica 14 (1964), 65–74. [Reviewed by Chen Chung Chang in MR 30 (1965), 3; by Azriel Levy in JSL 32 (1967), 128–129.]
G. P. Gavrilov: ‘On quasi-Peano functions’ (Russian), Doklady Akadémii Nauk SSSR 156 (1964), 1011–1013. [English translation in Soviet Mathematics 5 (1964), 750–752.] [Reviewed by Alan Rose in ZMG 212 (1971), 315.]
Leonard Goddard: ‘Sense and Nonsense,’ Mind, n.s. 73 (1974), 309–331.
Yu. V. Golunkov: ‘On the equivalence of formulae realizing transformations of functors of a k-valued logic’ (Russian), Kazanskiĭ Ordena Trudovogo Krasnogo Znameni Gosudarstvennyĭ Universitet im V. I. Ul’janova-Lenina 124 (1964), pp. 71–92. [Reviewed by Haskell B. Curry in MR 34 (1967), 429.]
See Hasegawa and Nagaoka and Tezuka and Kasahara (1964).
Toshiharu Hasegawa, Y. Nagaoka, Yoshikazu Tezuka and Yoshiro Kasahara: ‘Tunnel Diode Circuits for Ternary Logic,’ Electronics and Communications in Japan, The Transactions of the Institute of Electronics and Communication Engineers of Japan 10 (1964), 88–95. Kasahara (1964). See Hasegawa and Nagaoka and Tezuka and Kasahara (1964). Kooi (1964). See Kooi and Wenver (1964).
C. F. Kooi and J. L. Wenver:Nonlinear Hall-effects Ternary
Logic Element,’ Solid State Electronics 1 (1964), 34. Krishnamurty (1964). E. V. Krishnamurty: ‘An Algebra for (m+p) Switching Circuits,’ The University of Chicago, The Institute for Computer Research Quarterly Report 5 (May 1964), IIIC.
Grigor Constantin Moisil: ‘Sur les logiques de Lukasiewicz a un nombre fini de valeurs,’ Revue Roumanienne des Mathematiques Pures 9 (1964), 905–920. Re printed in Moisil (1972), pp. 583–595. [Reviewed by Atwell R. Turquette in MR 32 (1966), 6.]
See Yoeli and Rinon (1964).
Alan Rose: ‘Formalisations de calculs propositionnels polyvalents à foncteurs variables,’ Comptes Rendus Hebdomadaires des Seances de I’Academie des Sciences, serie A 258 (1964), 1951–1953. [Reviewed by Atwell R. Turquette in MR 28 (1964), 574; by Ivo Rosenberg in ZMG 149 (1968), 3–4.]
Wadow Sadowski: ‘Proof of axiomatizability of certain n-valued propositional calculi’ (Polish), Studia Logica 15 (1964), 25–36. [Reviewed by Andrzej Mostowski in MR 32 (1966), 388–389.]
F. Salter: ‘A Ternary-memory Element Using a Tunnel Diode,’ IEEE Transactions on Electronic Computers EC-13 (1964), 155–156. Santos (1964). See Santos and Arango (1964).
J. Santos and H. Arango: ‘On the Analysis and Synthesis of 3-valued Digital Systems,’ AFIPS Conference Proceedings 25 (1964), 463–475.
Rolf Schock: ‘On Finitely Many-valued Logics,’ Logique et Analyse, n.s. 7 (1964), 43–58. [Reviewed by Alan Rose in MR 31 (1966), 209; by Ivo Rosenberg in ZMG 127 (1967), 8; by Robert K. Meyer in JSL 35 (1970), 140–142.]
Rolf Schock: ‘On Denumerably Many-valued Logics,’ Logique et Analyse, n.s. 7 (1964), 190–195. [Reviewed by Alan Rose in MR 31 (1966), 209; by Robert K. Meyer in JSL 35 (1970), 140–142.] Schofield (1964). Peter Schofield: ‘On a Correspondence Between Many-valued and Two- valued Logics,’ Zeitschrift fur mathematische Logik und Grundlagen der Mathematik, 10 (1964), 265–274. [Reviewed by Norman M. Martin in JSL 32 (1967), 539.]
Bolestaw Sobocinski: ‘On the Propositional System A of Vučkovič and Its Extension. I,’ Notre Dame Journal of Formal Logic, 5 (1964), 141–153. [Reviewed by Alan Rose in MR 36 (1968), 971; in ZMG 133 (1967), 254.]
Boleslaw Sobocinski: ‘On the Propositional System A of Vučkovič and Its Extension. II,’ Notre Dame Journal of Formal Logic 5 (1964), 223–237. [Reviewed by B. van Rootselaar in ZMG 171 (1969), 252.]
L. M. Sosinskn: ‘On the representation of functions by irreversible superpositions in three-valued logic’ (Russian), Problemy Kibérnétiki 12 (1964), 57–68. [Reviewed by V. Vuckovic in MR 34 (1967), 756.]
Takeo Sugihara: Yôsô ronrigaku kenkyû (A Study on Modal Logic). Tokyo (Sankibo) 1964. [Reviewed by Akira Nakamura in JSL 32 (1967), 544.]
Takeo Sugihara: ‘Sequential Truth-functions,’ Bulletin of Fukui University, School of Arts and Science, Humanities no. 13 (1964).
Tadeusz Traczyk: ‘An Equational Definition of a Class of Post Algebras,’ Bulletin de I’Academie Polonaise des Sciences, Classe III 12 (1964), 147–149. [Reviewed by Philip Dwinger in JSL 34 (1969), 363; by D. Ponasse in ZMG 171 (1969), 257.]
Tadeusz Traczyk: ‘An Equational Definition of a Class of Post Algebras,’ Bulletin de I’Academie Polonaise des Sciences, Classe III 12 (1964), 147–149. [Reviewed by Philip Dwinger in JSL 34 (1969), 363; by D. Ponasse in ZMG 171 (1969), 257.]
See Kooi and Wenver (1964).
See Yoeli and Rinon (1964).
Michael Yoeli and S. Rinon: ‘Application of Ternary Algebra to the Study of Static Hazards,’ Journal of the Association for Computing Mathematics 11 (1964), 84–97.
N. N. Aizenberg: ‘Representation of a sum mod m in a class of normal forms of functions of w-valued logic’ (Russian), Kibérnétika 1965 no. 4, pp. 101–102. [Registered in ZMG 34 (1967), 8; in ZMG 223 (1972), 11.]
See Santos and Arango and Pascual (1965).
Edward BaJuka: ‘On Verification of the Expressions of Many-valued Sentential Calculi. I,’ Studia Logica 17 (1965), 53–73. [Reviewed by D. H. Potts in MR 34 (1967), 755.]
N. P. Brusentzov: ‘A Ternary Arithmetic Machine’ (Russian), Moskovski Universitet Vestnik 2 (1965), 39–48.
Roberto Cignoli: ‘Boolean Elements in Lukasiewicz Algebras. I,’ Proceedings of the Japan Academy 41 (1965), 670–675. [Reviewed by Eugen Mihailescu in JSL 33 (1968), 307–308; by Tadeusz Traczyk in ZMG 168 (1969), 6.]
See Cignoli and Monteiro (1965).
Roberto Cignoli and Antonio Monteiro: ‘Boolean Elements in Lukasiewicz Algebras II,’ Proceedings of the Japan Academy 41 (1965), 676–680. [Reviewed by Eugen Mihăilescu in JSL 33 (1968), 308; by Tadeusz Traczyk in ZMG 168(1969), 5.]
E. Eichelberger: ‘Hazard Detection in Combinational and Sequential Circuits,’ IBM Journal of Research and Development 9 (1965), 90–99.
G. P. Gavrilov: ‘On functional completeness in countably-valued logic’ (Russian), Problemy Kibérnétiki, 15 (1965), 5–64. [Reviewed by E. Zaharova in MR 37 (1969), 942.]
L. Iturrioz: ‘Axiomas para il calculo proposicional trivalente de Lukasiewicz,’ Revue Union Matematica Argentina y Asociation Fisica Argentina 22 (1965), 150.
Dieter Klaua: ‘Über einen Ansatz zur mehrwertigen Mengenlehre,’ Monatsberichte der deutschen Akademie der Wissenschaften zu Berlin 1 (1965), 859–867. [Reviewed by Azriel Levy in MR 33 (1967), 218–219; by D. Schwartz in ZMG 154 (1968), 260.]
See Klaua (1965).
George L. Kline: ‘N. A. Vasil’ev and the Development of Many-valued Logics,’ Contributions to Logic and Methodology in Honor of J. M. Bochenski, edited by Anna-Teresa Tymieniecka in Collaboration with Charles D. Parsons, Amsterdam (North-Holland Publishing Company) 1965, pp. 315–326. [Reviewed by Alan Rose in ZMG 145(1968), 7.]
See Cignoli and Monteiro (1965).
Luiz F. T. Monteiro: ‘Sur les algebres de Lukasiewicz injectives,’ Proceedings of the Japan Academy 41 (1965), 578–581. [Reviewed by Eugen Mihailescu in JSL 33 (1968), 308; by Jens Erik Fenstad in ZMG 143 (1968), 6.]
V. L. Murskiĭ: ‘Suščestvovanié v trehznacnoj logiké zamknutogo klassa s konéčnym bazisom, né imévščego konéčnoj polnoj sistémy toždéstv,’ Doklady Akadémii Nauk SSSR 163 (1965), 815–818. [English translation (‘The Existence in Three-valued Logic of a Closed Class with Finite Basis, not having a Finite Complete System of Identities’) by Elliott Mendelson in Soviet Mathematics 6 (1965), 1020–1024. [Reviewed by Ralph Seifert, Jr. in JSL 37 (1972), 762–763; by Roger C. Lyndon in MR 32 (1966), 667; by Alan Rose in ZMG 154 (1968), 5.]
Akira Nakamura: ‘On the Infinitely Many-valued Double-threshold Logic,’ Zeitschrift für mathematische Logik und Grundlagen der Mathematik 11 (1965), 93–101. [Reviewed by Arto Salomaa in JSL 31 (1966), 665; by Atwell R. Turquette in MR 33 (1967), 6; by Arto Salomaa in ZMG 168 (1969), 4.] Nicolau (1965). Edmond Nicolau: ‘Sinteza unei clase de automate care modelează operatori in logica N-valentă cu functii de timp date,’ Bulletin de Inst. Polit. Gh. Gheorghiu Dej 26 (1965), 101.
B. L. Ovsievic: ‘Some properties of symmetric functions of the three-valued logic’ (Russian), Problemy Peredaci Informacii 1 (1965), 57–64. [Registered in ZMG 261 (1974), 20.]
See Santos and Arango and Pascual (1965).
M. F. Raca: ‘Class of logic functions corresponding to the first matrix of Jaśkowski’ (Russian), Studies in general algebra, Akadémii Nauk Moldav. SSR, Kishniev, pp. 99–110. [Registered in MR 34 (1967), 203.] Rose (1965). Alan Rose: ‘A Formalization of Post’s m-valued Propositional Calculus with Variable Functors,’ Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 11 (1965), 221–226. [Reviewed by Atwell R. Turquette in MR, 33 (1967), 6; by the author in ZMG 212 (1971), 315.]
Ivo G. Rosenberg: ‘La structure des fonctions de plusieurs variables sur un ensemble fini,’ Comptes Rendus Hebdomadaires des Séances de I’Academie des Sciences 260 (1965), 3817–3819. [Reviewed by Alan Rose in MR 31 (1966), 209.] Rosenfeld (1965). See Yoeli and Rosenfeld (1965).
See Santos and Arango and Pascual (1965).
Rolf Schock: ‘Some Theorems on the Relative Strengths of Many-valued Logics,’ Logique et Analyse, n.s. 8 (1965), 101–104. [Reviewed by B. Lercher in MR 34 (1967), 1023; by Robert K. Meyer in JSL 35 (1970), 140–142.]
Krister Segerberg: ‘A Contribution to Nonsense-logics,’ Theoria 31 (1965), 199–217. [Reviewed by Edward E. Dawson in JSL 33 (1968), 134–136.]
Frederico M. Siosen: ‘A characterization of the tautologies in the three-valued propositional calculus’ (Spanish), Gaceta matematica (Madrid) 17 (1965), 68–74. [Registered in ZMG 156 (1969), 7.]
Tadeusz Traczyk: ‘Weak Isomorphism of Boolean and Post Algebras,’ Colloquium Mathematicum 13 (1965), 159–164.
A. S. Troelstra: ‘On Intermediate Propositional Logics,’ Koninklijke Nederlandse Akademie van Wetenschappen, Proceedings, series A 68 (1965), 141–152; also printed in Indagationes Mathematicae 27 (1965), 141–152. [Reviewed by Toshio Umezawa in JSL 33 (1968), 607; by Toshio Umezawa in ZMG 143 (1968), 11.] Ušan (1965). Janez Ušan: ‘Definition of a constructability in algebraic systems with finite sets (partial and many-valued) of -operations and some of their properties’ (Serbo-Croatian), Matematicki Vesnik, n.s. 2 (17) (1965), 39–48. [Registered in ZMG 178 (1970), 311.]
V. I. Varsavskif: ‘Functional separability in three-valued logic’ (Russian), Izvestià Akadémii Nauk SSSR, Techničeskaà Kibérnétika, 1965, no. 2, pp. 43–46. [Registered in ZMG 207 (1971), 291.] Yoeli (1965). See Yoeli and Rosenfeld (1965).
Michael Yoeli: ‘Ternary Transmission Contact Network,’ IEEE Transactions on Circuit Theory CT-12 (1965), 414.
Michael Yoeli: ‘A Group Theoretical Approach to Two Rail Cascades,’ IEEE Transactions on Electronic Computers EC-14 (1965), 815.
Michael Yoeli and G. Rosenfeld: ‘Logical Design of Ternary Switching Circuits,’ IEEE Transactions on Electronic Computers EC-14 (1965), 19–29.
L. A. Zadeh: ‘Fuzzy Sets,’ Information and Control 8 (1965), 338–353. [Reviewed by the author in MR 36 (1968), 514–515.]
Ja. H. Adži-Veli: ‘An application of the Balke-Poreckiĭ method to the minimization of the function of a many-valued logic’ (Russian), Doklady Akademii Nauk UzSSR 1 (1966), pp. 10–12. [Reviewed by A. Tauts in MR 42 (1971), 787.]
See Arango and Pascual and Valentinuzz and Santos (1966). Arango and Pascual and Valentinuzz and Santos (1966). H. Arango, M. Pascual, M. E. Valentinuzz and J. Santos: Threshold Implementation of Ternary Systems, IEEE Transactions on Electronic Computers EC-15 (1966), 661–66.
F. G. Asenjo: ‘A Calculus of Antinomies,’ Notre Dame Journal of Formal Logic 7 (1966), 103–105. [Reviewed by R. L. Goodstein in MR 34 (1967), 1021.]
J. S. Bailey: ‘Generalized Single-ended Computers,’ Journal of the Association for Computing Machines 13 (1966), 412–418. Bohm (1966). See Bohm and Jacopini (1966).
C. Böhm and G. Jacopini: ‘Flow Diagrams, Turing Machines, and Language with Only Two Formation Rules,’ Communications of the Association for Computing Machines 9 (1966), 366–371. Caracciolo di Forino (1966). Alfonso Caracciolo de Forino: ‘m-valued Logics and ra-ary Selection Functions,’ Automata Theory, edited by E. R. Caianiello, New York (Academic Press) 1966, pp. 107–114. [Reviewed by George H. Rousseau in ZMG 199 (1971), 3–4.]
T, Drange: Type Crossings. The Hague (Mouton) 1966.
Philip Dwinger: ‘Notes on Post Algebras,’ Koninklijke Nederlandse Akademie van Wetenschappen, Proceedings, series A 69 (1966), 462–478; also printed in Indagationes Mathematicae 28 (1966), 462–478. [Reviewed by Tadeusz Traczyk in JSL 33 (1968), 626; by Tadeusz Traczyk in ZMG 148 (1968), 242–243.]
See Fisch and Turquette (1966).
Max Fisch and Atwell R. Turquette: ‘Peirce’s Triadic Logic,’ The Transactions of the Charles S. Peirce Society 2 (1966), 71–85.
R. V. Freĭvald: ‘A completeness criterion for partial functions of logic and many-valued logic algebras’ (Russian), Doklady Akademii Nauk SSSR 167 (1966), 1249–1250. [English translation in Soviet Physics, Doklady 11 (1966), 288–289.] [Reviewed by Alan Rose in MR 35 (1968), 268.]
See JalbonskiTand Gavrilov and Kudrjavcev (1966).
Leonard Goddard: ‘Predicates, Relations and Categories,’ Australasian Journal of Philosophy 44 (1966), 139–171.
Masazumi Hanazawa: ‘A Characterization of Axiom Schema Playing the Role of Tertium Non Datur in Intuitionistic Logic,’ Proceedings of the Japan Academy 42 (1966), 1007–1010. [Reviewed by Richmond H. Thomason in ZMG 191 (1970), 286.]
Tsutomu Hosoi: ‘Algebraic Proof of the Separation Theorem on Dummett’s LC,’ Proceedings of the Japan Academy 42 (1966), 693–695. [Reviewed by Alfred Horn in JSL 33 (1968), 128–129; by R. L. Goodstein in MR 34 (1967), 1358; by Robert A. Bull in ZMG 168(1969), 3–4.]
Tsutomu Hosoi: ‘On the Separation Theorem of Intermediate Propositional Calculi,’ Proceedings of the Japan Academy 42 (1966), 535–538. [Reviewed by Alfred Horn in JSL 34(1969), 505; by R. L. Goodstein in MR 34 (1967), 1357–1358; by Robert A. Bull in ZMG 168 (1969), 3–4.]
Tsutomu Hosoi: ‘The Separable Axiomatization of the Intermediate Propositional System Sn,’ Proceedings of the Japan Academy 42 (1966), 1001–1006. [Reviewed by Alfred Horn in JSL 34 (1969), 505; by David Nelson in MR 36 (1968), 9; by Toshio Umezawa in ZMG 156 (1969), 8.]
Tsutomu Hosoi: ‘The Axiomatization of the Intermediate Propositional Systems S of Gödel,’ Journal of the Faculty of Science, University of Tokyo, Section I 13(1966), 183–187. [Reviewed by David Nelson in MR 36 (1968), 9; by Toshio Umezawa in ZMG 156 (1969), 8.]
Seppo Ilkka: A New Arithmetization for Finitely Many-Valued Propositional Calculi. Societas Scientiarum Fennica, Commentationes physico-mathematicae 32 no. 8 (1966), Helsinki. [Reviewed by Akira Nakamura in JSL, 34 (1969), 304; by R. F. Wheeler in MR 35 (1968), 268; by Tsutomu Hosoi in ZMG 143 (1968), 8.]
See Iséki and Tanaka (1966).
Kiyoshi Iséki: ‘Some Three Valued Logics and Its Algebraic Representations,’ Proceedings of the Japan Academy 42 (1966), 761–762. [Reviewed by Alan Rose in MR 35 (1968), 268; by Alan Rose in ZMG 145 (1968), 7.]
Kiyoshi Iséki and Shôtarô Tanaka: ‘A Pentavalued Logic and Its Algebraic Theory,’ Proceedings of the Japan Academy 42 (1966), 763–764. [Reviewed by Alan Rose in ZMG 145 (1968), 7.]
See Jablonskii and Gavrilov and Kudrjavcev (1966).
S. V. Jablonskiĭ, G. P. Gavrilov and V. B. Kudrjavcev: Funkcii algebry logiki i klassy Posta. Moscow (Izdatel’stvo ‘Nauka’) 1966. [Reviewed by S. Rudeanv in ZMG 171 (1969), 277.]
See Bohm and Jacopini (1966).
Vladimir G. Kirin: ‘Gentzen’s Method for the Many-valued Propositional Calculi,’ Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 12 (1966), 317–332. [Reviewed by Akira Nakamura in JSL 32 (1967), 538–539; by Atwell R. Turquette in MR 34 (1967), 202–203; by Alan Rose in ZMG 147 (1968), 250.]
Dieter Klaua: ‘Cber einen zweiten Ansatz zur mehrwertigen Mengenlehre,’ Monatsberichte der deutschen Akademie der Wis sense haft en zu Berlin 8 (1966), 161–177. [Reviewed by D. Schwartz in ZMG 154 (1968), 260–261.]
See Mine and Koga (1966).
Stephan Korner: Experience and Theory. An Essay in the Philosophy of Science. London (Routledge and Kegan Paul) 1966.
Peter Holger Krauss: Probability Logic. Ph.D. dissertation: University of California at Berkeley, 1966. Ann Arbor (University Microfilms) 1967.
See Jablonskiĭ and Gavrilov and Kudrjavcev (1966).
A. I. Mal’cev. ‘Iterativnyé algébry i mnogoobraziá Posta’ (Iterative algebra and Post manifolds), Algébra i Logika, Séminar 5 (1966), 5–24. [Reviewed by Ivo G. Rosenberg in JSL 36 (1971), 338.]
Storrs McCall: ‘Connexive Implication,’ The Journal of Symbolic Logic 31 (1966), 415–433. [Reviewed by Hugues Leblanc in MR 36 (1968), 505; by John T. Canty in ZMG 161 (1969), 4–5.]
McCall (1966a). See McCall and Meyer (1966).
Storrs McCall and Robert K. Meyer: Pure Three-valued Łukasiewiczian Implication, The Journal of Symbolic Logic 31 (1966), 399–405. [Reviewed by Atwell R. Turquette in JSL 33 (1968), 133–134; by D. H. Potts in MR 34 (1967), 756; by Alan Rose in ZMG 154 (1968), 255.]
C. A. Meredith: ‘Postulates for Implicational Calculi,’ The Journal of Symbolic Logic 31 (1966), 7–8. [Reviewed by John Bacon in JSL 33 (1968), 306.]
Robert Kenneth Meyer: Topics in Modal and Many-valued Logic. Ph.D. dissertation: University of Pittsburgh, 1966. Ann Arbor (University Microfilms) 1966.
Robert K. Meyer: Pure Denumerable Łukasiewiczian Implication, The Journal of Symbolic Logic 31 (1966), 575–580. [Reviewed by Alan Rose in JSL 33 (1968), 308; by Hugues Leblanc in MR 35 (1968), 979; by Tsutomu Hosoi in ZMG 148 (1968), 6.]
See McCall and Meyer (1966).
See Mine and Koga (1966).
Hisashi Mine and Yoshiaki Koga: ‘A Property of Three-valued Functions of One Variable,’ Electronics and Communications in Japan, Institute of Electrical and Electronics Engineers 49 (1966), 128–130. [Reviewed by the authors in MR, vol. 35 (1968), p. 980.]
Grigor Constantin Moisil: Zastosowanie Algebr Łukasiewicza do Teorii Ukladow Przekaznikowo-Stykowych (Application of Łukasiewiczian Algebra to the Study of Relay-contact Networks), volume 1. Warsaw (Wydannictwo Polskiej Akadémii Nauk) 1966. [Reviewed by Corneliu O. Sicoe in JSL 37 (1972), 187–188.]
Shûrô Nagata: ‘A Series of Successive Modifications of Peirce’s Rule,’ Proceedings of the Japan Academy 42 (1966), 859–861. [Reviewed by J. J. F. Nieland in ZMG 192 (1972), 28.]
Biswambhar Pahi: ‘On the Non-existence of the Finite Characteristic Matrices for Some Implicational Calculi,’ The Journal of Symbolic Logic 31 (1966), 682–683.
Biswambhar Pahi: Studies in Implicational Calculi. Ph.D. dissertation: Yale University, 1966. Ann Arbor (University Microfilms) 1966.
See Arango and Pascual and Valentuzz and Santos (1966).
Witold A. Pogorzélski: ‘Nota o modelach dwuwartościowej logiki implikcacyjno-negacyjnej w wielowartościowych logikach -Łukasiewicza,’ Acta Universitatis Wratislaviensis 52 (1966), 93–98.
Tadeusz Prucnal: ‘A Proof of Completeness of the Three-valued C-N Sentential Calculus of Łukasiewicz,’ Studia Logica 18 (1966), 65–72. [Reviewed by L. N. Gal in MR 33 (1967), 1235.]
M. F. Raca: ‘A criterion of functional completeness in logic corresponding to the first Jaskowski matrix’ (Russian), Doklady Akdémii Nauk SSSR, 168 (1966), 524–527. [English translation in Soviet Mathematics 7 (1966), 683–687.] [Reviewed by G. Asser in MR 34 (1967), 203; by Bas C. van Fraassen in ZMG 178 (1970), 306.]
Alan Rose: ‘A Formalisation of an Infinite-valued Propositional Calculus in which the Truth Values are Lattice Ordered,’ The Journal of Symbolic Logic 31 (1966), 683–684.
Alan Rose: ‘Formalisation d’un calcul propositionnel à un nombre infini de valeurs lesquelles forment un treillis,’ Comptes Rendus Hebdomadaires des Séances de I’Académie des Sciences, série A 262 (1966), 1139–1141. [Reviewed by Arnold Oberschelp in MR 34 (1967), 200; by Tsutomu Hosoi in ZMG 199 (1971), 4.]
Alan Rose: ‘Formalisation de certains calculs propositionnels polyvalents à foncteurs variables aù cas ou certaines valeurs sont sur désignées,’ Comptes Rendus Hebdomadaires des Séances de I’Académie de Sciences, série A 262 (1966), 1233–1235. [Reviewed by Arnold Oberschelp in MR 34 (1967), 203; by Tsutomu Hosoi in ZMG 199 (1971), 4.]
Alan Rose: An Algebraic Model of the m-valued Propositional Calculus with Variable Functors,’ Revista de la Union Matematica Argentina 23 (1966–68), 195–197. [Reviewed by Newton C. A. da Costa in MR 41 (1971), 595; by Louis F. Goble in ZMG 185 (1970), 10.]
Richard Routley: ‘On a Significance Theory,’ Australasian Journal of Philosophy 44 (1966), 172–209.
See Arango and Pascual and Valentuzz and Santos (1966).
Peter Schofield: ‘Complete Subsets of Mappings Over a Finite Domain,’ Proceedings of the Cambridge Philosophical Society 62 (1966), 597–611. [Reviewed by Norman M. Martin in JSL 32 (1967), 539–540; by Akira Nakamura in ZMG 178 (1970), 306–307.]
Corneliu O. Sicoe: ‘Elemente strict chrysippiene in algebre lukasiewicziene polivalente’ (Strict Chrysippian elements in polyvalent Łukasiewicz algebras), Analele Universitătii Bucuresti, Seria Stiintele Naturii, Maternalită-Mecanică 15 (1966), 123–126. [Reviewed by the author in MR 36 (1968), 735; by the author in ZMG 156 (1969), 7.]
M. Stojaković: ‘Matrizen Inversion in der algebraischen Theorie der Wahrheitsfunktionen der mehrwertigen Logik,’ Bulletin de I’Académie Serbe des Arts, Classe des Sciences Mathematiques et Naturelles Sciences, Mathématiques 35 (1966), 39–43. [Reviewed by A. Nerode in MR 35 (1968), 1205.]
See Iseki and Tanaka (1966).
S. Thelliez: ‘Simulateur de circuits logique ternaires,’ Automatisme 11 (1966), 296–300.
S. Thelliez: ‘Theorie de la décomposition appliquée la logique ternaire,’ Note interne du Laboratoire d’Automatique Conservatoire National des Arts et Métier, Paris (1966).
See Yoeli and Turner (1966).
Atwell R. Turquette: ‘A Method for Constructing Implication Logics,’ Zeitschrift für mathematische Logik und Grundlagen der Mathematik 12 (1966), 267–278. [Reviewed by Storrs McCall in JSL 33 (1968), 308–109; by K. Schultze in ZMG 147 (1968), 249–250.]
See Fisch and Turquette (1966).
See Arango and Pascual and Valentinuzz and Santos (1966).
Bas C. van Fraassen: ‘Singular Terms, Truth-value Gaps, and Free Logic,’ The Journal of Philosophy 63 (1966), 481–495.
Roger F. Wheeler: ‘Complete Connectives for the 3-valued Propositional Calculus,’ Proceedings of the London Mathematical Society 16 (1966), 167–191. [Reviewed by Arto Salomaa in JSL 33 (1968), 127–128; by V. Devidé in MR 32 (1966), 1260; by Alan Rose in ZMG 143 (1968), 10.]
Roger F. Wheeler: ‘Complete Connectives for the 3-valued Propositional Calculus,’ The Journal of Symbolic Logic 31 (1966), 298.
See Yoeli and Turner (1966).
L. A. Zadeh: ‘Shadows of fuzzy sets’ (Russian), Problémy Peredači Informacii 2 no. 1 (1966), 37–44. [Reviewed by Siegfried Gottwald in ZMG 263 (1974), 20.]
E. U. Zaharova: ‘Ob odnom dostatocnom uslovii polnoty v Pk’ (On a sufficient condition for completeness in Pk), Problémy Kibérnétiki 16 (1966), 239–244. [Reviewed by Ivo G. Rosenberg in JSL 33 (1968), 606.]
V. Abdugaliev: ‘Normal forms of k-valued logic’ (Russian), Kibérnétika, 1967 no. 1, pp. 16–20. [English translation in Cybernetics 3 (1967), 13–16.] [Reviewed by the author in MR 44 (1972), 291; by Ivo G. Rosenberg in ZMG 204 (1971), 2.]
See La Macchia and Abian (1967).
See Abian and La Macchia (1967).
Alexander Abian and Samuel D. La Macchia: ‘Examples of Generalized Sheffer Functions,’ Acta Mathematica Academiae Scientiarum Hungaricae 18 (1967), 189–190. [Reviewed by A. Yaqub in MR 38 (1969), 190.]
Robert J. Ackermann: An Introduction to Many-valued Logics. New York (Dover Publications Inc.) 1967.
R. A. Baĭramov: ‘K voprosu o funktsionalnoi polnosti v mnogoznachinykh logikakh’ (On the question of functional completeness in many-valued logic), Diskretnyĭ Analiz 11 (1967), 3–20. [Reviewed by Arto Salomaa in MR 37 (1969), 943; by Ivo G. Rosenberg in ZMG 182 (1970), 317.]
R. A. Baĭramov: ‘O funktsiiakh Sefferi v mnogoznachinoi logikakh,’ (Sheffer functions in many-valued logic), Problems in the Theory of Electronic Digital Computers (Russian), Akademii Nauk Ukrains’koi SSR (Kiev) 3 (1967), 62–71. [Reviewed by Arto Salomaa in MR 37 (1969), 943.]
R. A. Baĭramov: ‘Ob odnoi serii predpolnykh klassov v k-znachinoi logike,’ Kibérnétika 1967 no. 1, p. 79. [English translation (‘A Series of Precomplete Classes in k-valued Logic’) in Cybernetics 3 (1967), 6–7.] [Reviewed by Alan Rose in MR 43 (1972), 6; by Ivo G. Rosenberg in ZMG 189 (1970), 281–282.]
See Shipecki and Bryll and Prucnal (1967).
G. A. Burle: ‘Classes of k-valued logic which contain all functions of a single variable’ (Russian), Diskretnyĭ Analiz 10 (1967), 3–7. [Reviewed by Arto Salomaa in MR 36(1968), 274.]
Michel Carvallo: ‘Sur la résolution des équations de Post,’ Comptes Rendus Hebdomadaires des Seances de I’Académie des Sciences, série A 265 (1967), 601–602. [Reviewed by Jens Erik Fenstad in MR 37(1969), 7; by A. F. Pixley in ZMG 169(1969), 304.]
Kiril N. Čimev: ‘A certain kind of dependence of certain functions of Pk on their arguments’ (Bulgarian), Godišnik na Visšite tehničeskie Učebni Zavedeniaa, Matematika 4 (1967), 5–12. [Reviewed by G. E. Mine in MR 45 (1973), 583.]
A. Luis Darzins: “‘The Unambiguous Characterization Problem’ for Many-valued and Aristotelian and—and or—Propositional and Functional Calculi,” The Journal of Symbolic Logic 32 (1967), 558–559.
S. W. Golumb: Shift Register Sequences. San Francisco (Holden-Day) 1967.
A. G. Gorelik: ‘Geometric interpretation of a three-valued algebra’ (Russian), Vesci Akadèmii Navuk BSSR, Seryja Fizika-matèmatycnyh Navuk 1 (1967), 9–17. [Reviewed by Albert A. Mullin in MR 34 (1967), 1358.]
R. L. Graham: ‘On n-valued Functionally Complete Truth Functions,’ The Journal of Symbolic Logic 32 (1967), 190–195. [Reviewed by Norman M. Martin in JSL 36 (1971), 691; by L. Hay in MR 36 (1968), 1207; by the author in ZMG 148 (1968), 243.]
Tsutomu Hosoi: ‘On Intermediate Logics, I,’ Journal of the Faculty of Science, University of Tokyo, section I 14 (1967), 293–312. [Reviewed by A. S. Troelstra in JSL 36 (1971), 329–330; by Robert A. Bull in MR 36 (1968), 970; by the author in ZMG 188 (1970), 316.]
Tsutomu Hosoi: ‘On the Axiomatic Method and the Algebraic Method for Dealing with Propositional Logics,’ Journal of the Faculty of Science, University of Tokyo, section I 14 (1967), 131–169. [Reviewed by Arto Salomaa in MR 36 (1968), 505; by Robert A. Bull in ZMG 162 (1969), 311.]
Tsutomu Hosoi: ‘A Criterion for the Separable Axiomatization of Gödel’s Sn,’ Proceedings of the Japan Academy 43 (1967), 365–368. [Reviewed by David Nelson in MR 37 (1969), 7; by Toshio Umezawa in ZMG 168 (1969), 249.]
Chr. Klixbüll Jørgensen: ‘The Extensional Classification of Categorical Propositions and Trivalent Logic,’ Logique et Analyse, n.s. 10 (1967), 141–156. [Reviewed by Alan Rose in ZMG 155 (1968), 338.]
Dieter Klaua: ‘Ein Ansatz zur mehrwertigen Mengenlehre,’ Mathematische Nachrichten 33 (1967), 273–296. [Reviewed by D. Schwartz in ZMG 154 (1968), 259–260.]
Dieter Klaua: ‘Einbettung der klassischen Mengenlehre in die mehrwertige,’ Monatsberichte der Deutschen Akademie der Wissenschaften zu Berlin 9 (1967), 258–272. [Reviewed by D. Schwartz in ZMG 221 (1972), 26.]
Dharmendra Kumar: ‘Logic and Inexact Predicates,’ The British Journal for the Philosophy of Science 18 (1967), 211–222.
See La Macchia and Abian (1967).
See Abian and La Macchia (1967).
Samuel La Macchia and Alexander Abian: ‘Some Generalized Sheffer Functions,’ Archiv fur mathematische Logik und Grundlagenforschung 10 (1967), 6–7. [Reviewed by Arto Salomaa in MR 35 (1968), 979; by Tadeusz Traczyk in ZMG 162(1969), 311.]
Czesław Lejewski: ‘Łukasiewicz, Jan,’ The Encyclopedia of Philosophy, edited by Paul Edwards, New York (Macmillan Publishing Co., Inc.) 1967, volume 5, pp.104–107.
A. I. Malcev: ‘Ob odnom usilenii teorem Słupeckogo i Jablonskogo’ (On a sharpening of theorems of Słupecki and Jablonskii), Algébra i Logika, Séminar 6 (1967), 61–75. [Reviewed by Tadeusz Traczyk in ZMG 166 (1969), 256.]
Storrs McCall (editor): Polish Logic: 1920–1939. Oxford (Clarendon Press) 1967. [Reviewed by Witold A. Pogorzelski in JSL 35 (1970), 442–446; by H. J. Pohl in ZMG 168 (1969), 248; by John Woods in Dialogue 6 (1967), 408–410; by William Kneale in Inquiry 11 (1968), 346–348; by Ivo Thomas in The Philosophical Review 78 (1969), 539–543.]
Storrs McCall: ‘MacColl,’ The Encyclopedia of Philosophy, edited by Paul Edwards, New York (Macmillan Publishing Co., Inc,) 1967, volume 4, pp. 545–546. McCall (1967b). Storrs McCall: ‘Connexive Implication and the Syllogism,’ Mind, n.s. 76 (1967), 346–356.
Storrs McCall: ‘Connexive Class Logic,’ The Journal of Symbolic Logic 32 (1967), 83–90.
C. G. McKay: ‘On Finite Logics,’ Indagationes Mathematicae 70 (1967), 363–365. [Reviewed by Toshio Umezawa in JSL 36 (1971), 330; by Robert A. Bull in MR 35 (1968), 1204; by B. van Rootselaar in ZMG 153 (1968), 7.]
C. G. McKay: ‘A Note on the Jaskowski Sequence,’ Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 13 (1967), 95–96. [Reviewed by D. Nelson in MR 37(1969), 7; by Tsutomu Hosoi in ZMG 147 (1968), 7.] Moisil (1967). Grigor Constantin Moisil: Zastosowanie Algebr Lukasiewicza do Teorii Ukladoxv Przekaznikowo-Stykowych (Application of Łukasiewiczian algebra to the study of relay-contact networks), volume 2. Warsaw (Wydawnictwo Polskiej Akademii Nauk) 1967. [Reviewed by Corneliu O. Sicoe in JSL 37 (1972), 187–188.]
Grigor Constantin Moisil: ‘Sur le calcul des propositions de type superieur dans la logique de Lukasiewicz à plusieurs,’ Analele Universitati Bucuresti, Seria Acta Logica 10 (1967), 93–104. Reprinted in Moisil (1972), pp. 596–608. [Reviewed by Arto Salomaa in MR 38 (1969), 998.]
Antonio Monteiro: ‘Construction des algebres de Lukasiewicz trivalentes dans les algebres de Boole monadiques. I,’ Mathematica Japonicae 12 (1967), 1–23. [Reviewed by David Nelson in MR 37 (1969), 7; by D. Ponasse in ZMG 165 (1969), 309.]
Gh. S. Nadiu: ‘On a method of construction of trivalent Lukasiewicz algebras’ (Roumanian), Studii Üşi Cercetări Matematice 19 (1967), 1063–1070. [Reviewed by the author in MR 40 (1970), 753.]
M. J. O’Carroll: ‘A Three-valued Non-levelled Logic Consistent for All Self-reference,’ Logique et Analyse, n.s. 10 (1967), 173–178. [Reviewed by James Cargile in JSL 37 (1972), 422–423; by Newton C. A. da Costa in ZMG 174 (1969), 8.]
E. Orłowska: ‘Mechanical Proof Procedure for the n-valued Propositional Calculus,’ Bulletin de I’Academie Polonaise des Sciences, Serie des Sciences Mathematiques, Astronomiques et Physiques 15 (1967), 537–541. [Reviewed by G. Veenker in ZMG 162 (1969), 320.]
Arthur Norman Prior: ‘Logic, Many-valued,’ The Encyclopedia of Philosophy, edited by Paul Edwards, New York (Macmillan Publishing Co., Inc.) 1967, volume 5, pp. 1–5.
See Słupecki and Bryll and Prucnal (1967).
Tadeusz Prucnal: ‘A Proof of the Axiomatizability of Łukasiewicz’s Three-valued Implicational Propositional Calculus’ (Polish), Studia Logica 20 (1967), 133–144. [Reviewed by the author in MR 35 (1968), 6.]
Juliusz Reichbach: Boolean Many Valued Calculi with Quantifiers and a Homogeny Proof of Gödel-Skolem-Löwenheim-Herbrand’s Theorem. Tel-Aviv, 1967 23 pp. [Registered in ZMG 189 (1970), 7.]
Alan Rose: ‘A Formalisation of the N0-valued Łukasiewicz Propositional Calculus with Variable Functors,’ Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 13 (1967), 289–292. [Reviewed by Bruno Scarpellini in JSL 35 (1970), 142; by Lawrence P. Belluce in MR 36 (1968), 505.]
Alan Rose: ‘A Formalisation of the N0-valued Łukasiewicz Implicational Propositional Calculus with Variable Functors,’ Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 13 (1967), 293–294. [Reviewed by Bruno Scarpellini in JSL 35 (1970), 143; by Lawrence P. Belluce in MR 36 (1968), 505; by Akira Nakamura in ZMG 161 (1969), 4.]
Alan Rose: ‘A Formalisation of the m-valued Lukasiewicz’s Propositional Calculus with Super-designated Truth-values,’ Zeitschrift für mathematische Logik und Grundlagen der Mathematik 13 (1967), 295–298. [Reviewed by Eugen Mihăilescu in JSL 36 (1971), 546; by Lawrence P. Belluce in MR 36 (1968), 505; by Akira Nakamura in ZMG 161 (1969), 4.]
Alan Rose: ‘Nouveau calcul de non-contradiction,’ Comptes Rendus Hebdomadaires des Seances de I’Academie des Sciences, série A 265 (1967), 125–128. [Reviewed by M. R. Kron in MR 36 (1968), 10; by Tsutomu Hosoi in ZMG 166 (1969), 251.]
Alan Rose: ‘Nouveau calcul de non-contradiction (methode alternative),’ Comptes Rendus Hebdomadaires des Séances de I’Académie des Sciences, série A 265 (1967), 157–159. [Reviewed by M. R. Kron in MR 37 (1969), 722; by Tsutomu Hosoi ZMG 203 (1971), 7.]
GH. Rousseau: Sequents in Many-valued Logic I, FundamentaMathematicae 61 (1967), 22–33.
George H. Rousseau. Rousseau: ‘Correction to ‘Sequents in Many-valued Logic I’,’Fundamenta Mathematicae 61 (1967), 313. [Registered in MR 36 (1968), 735.] Rvacov (1967).
See Rvačov and Škljarov (1967).
V. L. Rvačov and L. I. Škljarov: ‘Some functionally closed classes of functions in k-valued logic’ (Russian), Kibérnétika (1967), no. 3, pp. 42–44. [English translation in Cybernetics 3 (1967), 32–34.] [Reviewed by Alan Rose in MR 43 (1972), 340.]
Krister Segerberg: ‘Some Modal Logics Based on a Three-valued Logic,’ Theoria 33 (1967), 53–71. [Reviewed by Robert A. Bull in JSL 33 (1968), 309–310; by John Corcoran and J. Herringin MR44 (1972), 1178.]
Škljarov (1967). See Rvačov and Škljarov (1967).
Corneliu O. Sicoe: ‘Sur les idéaux des algébres lukasiewicziennes poly-valentes,’ Revue Roumaine de Mathématiques Pures et Appliquées, Académie de la République Roumaine 12 (1967), 391–401. [Reviewed by Alan Rose in MR 35 (1968), 1206; by H. E. Pickett in ZMG 166 (1969), 256.]
Corneliu O. Sicoe: ‘On Many-valued Lukasiewicz Algebras,’ Proceedings of the Japan Academy 43 (1967), 725–728. [Reviewed by the author in MR 36 (1967), 725–728; by L. Bukovsky in ZMG 165 (1969), 309.]
Corneliu O. Sicoe: ‘A Characterization of Lukasiewiczian Algebra. I,’ Proceedings of the Japan Academy 43 (1967), 729–732. [Reviewed by L. Bukovsky in ZMG 165(1969), 309.]
Corneliu O. Sicoe: ‘A Characterization of Lukasiewiczian Algebra. II,’ Proceedings of the Japan Academy 43 (1967), 733–736. [Reviewed by L. Bukovský in ZMG 165 (1969), 309.]
Corneliu O. Sicoe: ‘Note asupra algebrelor lukasiewicziene polivalente’ (Note on polyvalent Łukasiewicz algebras), Studii Cercetari Matematice 19 (1967), 1023–1027. [Reviewed by the author in MR 41 (1967), 954.]
F. Richard Singer: ‘Some Sheffer Functions for m-valued Logics,’ Scripta Mathematica 28 (1967), 21–27. [Reviewed by R. L. Graham in JSL 34 (1969), 520; by Alan Rose in MR 35 (1968), 1204; by Alan Rose in ZMG 154 (1968), 256.]
See Słupecki and Bryll and Prucnal (1967).
Jerzy Słupecki, Grezgorz Bryll and Tadeusz Prucnal: ‘Some Remarks on Three-valued of J. Łukasiewicz,’ Studia Logica 21 (1967), 45–66. [Reviewed by D. H. Potts in MR 38 (1969), 377–378.]
A. Tauts: ‘The definition of truth values as formulae’ (Russian), Tartu Riikliku Ülikooli Toimetised 206 (1967), 3–9. [Reviewed by M. S. Popadic in MR 41 (1967), 597.]
Ivo Thomas: ‘Three-valued Propositional Fragments with Classical Implication,’ Notre Dame Journal of Formal Logic 8 (1967), 145–147. [Reviewed by Alan Rose in ZMG 189 (1970), 281.]
Yu. M. Tolstova: Modelling l-valued Logic in k-valued logic (k ≥ 1)’ (Russian), Problémy Kibérnétiki 18 (1967), 67–82. [English translation in Systems Theory Research 18 (1968), 62–76.] [Reviewed by J. D. Rutledge in MR 41 (1971), 7–8.]
Tadeusz Traczyk: ‘On Post Algebras with Uncountable Chain of Constants. Algebras of Homomorphisms,’ Bulletin de I’Académie Polonaise des Sciences, Classe III 15 (1967), 673–680. [Reviewed by Don Pigozzi in JSL 37 (1972), 188–189; by A. F. Pixley in ZMG 172 (1969), 11.]
Atwell R. Turquette: ‘Peirce’s Phi and Psi Operators for Triadic Logic,’ The Transactions of the Charles S. Peirce Society 3 (1967), 66–73. [Reviewed by the author in MR 39 (1970), 473.]
Dolph Edward Ulrich: Matrices for Sentential Calculi. Ph.D dissertation: Wayne State University, 1967. Ann Arbor (University Microfilms) 1971.
Vladeta Vučković: ‘Recursive Models for Three-valued Propositional Calculi with Classical Implication,’ Notre Dame Journal of Formal Logic 8 (1967), 148–158. [Reviewed by H. E. Rose in ZMG 262 (1974), 12.]
Vladeta Vučković: ‘A Recursive Model of the Extended System A of B. Sobocinski,’ Notre Dame Journal of Formal Logic 8 (1967), 154–158. [Reviewed by H. E. Rose in ZMG 262 (1974), 12.]
Michael Yoeli: ‘The Synthesis of Multi-valued Cellular Cascades,’ Technion-Israel Institute of Technology, Electrical Engineering Publications 87 (1967).
É. Ú. Zaharova: ‘Kriterij sistem funkcij iz Pk’ (Criteria of completeness of functions from Pk), Problémy Kibérnétiki 18 (1967), 5–10. [Reviewed by Ivo G. Rosenberg in JSL 33 (1967), 606–607; by VI. Sotirov in ZMG 268 (1974), 13.]
N. N. Aĭzenberg: ‘Polinomialnye predstavlenià funktsii k-značnoi logiki polinomam nad koltsam klassov vyčetov po mod k,’ Kibérnétika (1968), no. 2, p. 102. [English translation (‘The Representation of Functions of k-valued Logic by Polynomials mod k’) in Cybernetics 4 (1968), 83.] [Registered in MR 45 (1973), 1216.]
See Allen and Givone (1968).
Charles M. Allen and Donald D. Givone: ‘A Minimization Technique for Multiple-valued Logic Systems,’ IEEE Transactions on Computers C-17 (1968), 182–184. [Reviewed by H. Rohleder in ZMG 157 (1969), 338.]
R. A. Baĭramov: ‘Stabilizatory predikatovi funktsii Sheffera u konecinoz-nacinoi logike’ (Predicate stabilizers and Sheffer-functions in a finite-valued logic), Doklady Akadémii Nauk Azerbaĭdžan SSR 24 (1968), 3–6. [Reviewed by Arto Salomaa in MR 42 (1971), 10.]
R. A. Bairamov: Stabilizatory predikatovi funktsii Shefferau konecinoz 12 (1968), 115–116. [Reviewed by Arto Salomaa in MR 46 (1973), 4; by Ivo G. Rosenberg in ZMG 182(1970), 317.]
Richard L. Call: ‘A Minimal Canonically Complete m-valued Proper Logic for each m,’ The Journal of Symbolic Logic 33 (1968), 108–110. [Reviewed by R. L. Graham in JSL 35 (1970), 326; by J. D. Rutledge in MR 41 (1971), 7; by George H. Rousseau in ZMG 191 (1970), 287.]
Michel Carvallo: Logique à trois valeurs. Logique à seuil. Paris (Gauthier-Villars Éditeur) 1968. [Reviewed by Albert A. Mullin in MR 39 (1970), 8; by Tsutomu Hosoi in ZMG 175 (1969), 263–264.]
Michel Carvallo: ‘Sur la resolution des équations de Post à v valeurs,’ Comptes Rendus Hebdomadaires des Séances de I’Académie des Sciences, série A 267 (1968), 628–630. [Reviewed by Jens Erik Fenstad in MR 38 (1969), 763; by A. F. Pixley in ZMG 169 (1969), 304.]
C. Cazacu: ‘Sur les logiques m-valentes,’ Analele Universitati Bucuresti, w Seria Acta Logica 11 (1968), 154–155. [Reviewed by Alan Rose in ZMG 229 (1972), 19.]
Kiril N. Čimev: ‘The various kinds of dependence of the functions of many-valued logic on their arguments’ (Bulgarian), Godisnik na Vissite tehniceski Ucebni Zavedeniaa, Matematika 5 (1968–69), 101–109. [Reviewed by G. E. Mine in MR 45 (1973), 583.]
See Čimev and Kutirkov (1968–69).
Kiril N. Čimev and Georgi A. Kutirkov: ‘The first order variables of the functions of many-valued logic’ (Bulgarian), Godišnik na Visšite tehničeski Ucebni Zavedeni, Matematika 5 (1968–69), 111–118. [Reviewed by G. E. Mine in MR 45 (1973), 583.]
J. W. Dijkstra: ‘GO TO Statement Considered Harmful,’ Communications of the Association for Computing Machines 11 (1968), 147–148.
J. Michael Dunn: ‘Representation Theory of Normal R-Mingle Matrices,’ The Journal of Symbolic Logic 33 (1968), 637.
Philip Dwinger: ‘Generalized Post Algebras,’ Bulletin de I’Academie Polonaise des Sciences, Serie des Sciences Mathematiques, Astronomiques et Physiques 16 (1968), 559–563. [Reviewed by Don Pigozzi in JSL 32 (1972), 188–189.]
R. V. Freĭvald: ‘The completeness to within coding of systems of functions of a k-valued logic and the complexity of its recognition’ (Russian), Doklady Akademii Nauk SSSR 180 (1968), 803–805. [English translation in Soviet Mathematics 9 (1968), 699–702.] [Reviewed by R. M. Baer in MR 38 (1969), 190.]
See Allen and Givone (1968).
See Givone and Snelsire (1968).
Donald D. Givone and R. W. Snelsire: Final Report on the Design of Multiple-valued Logic Systems. Digital Systems Laboratory of the Department of Electrical Engineering, State University of New York, Buffalo (1968). Goddard (1968).
Leonard Goddard: ‘Towards a Logic of Significance,’ Notre Dame Journal of Formal Logic 9 (1968), 233–264. Halperu (1968). See Yoeli and Halperu (1968).
See Yoeli and Halperu (1968).
S. L. Hurst: ‘An Extension of Binary Minimisation Techniques to Ternary Equations,’ Computer Journal 11 (1968), 277–286. [Reviewed by H. Rohleder in ZMG 169 (1969), 17.]
S. L. Hurst: ‘Semiconductor Circuits for 3-state Logic Applications,’ Electronic Engineering May 1968, pp. 256–259.
Kiyoshi Iséki: Kigô ronrigaku (meidai ronri). (Symbolic logic (propositional logic).) Tokyo (Maki Shoten) 1968. [Reviewed by Akira Nakamura in JSL 35 (1970), 580–581; by S. Kasahara in ZMG 194 (1970), 306.]
Luisa Iturrioz: ‘Sur une classe particuliere d’algebres de Moisil,’ Comptes Rendus Hebdomadaires des Séances de I’Académie des Sciences, série A 267 (1968), 585–588. [Reviewed by Andrzej Biafynicki-Birula in MR 38 (1969), 570; by David C. Makinson in ZMG 183(1970), 8.]
V. A. Ánkov: ‘Postroénié poslédovatél’nosti sil’no nézavisimyh supér-intuicionistskih propozicional’nyh isčislénij,’ Doklady Akademii Nauk SSSR 181 (1968), 33–34. [English translation (‘Constructing a Sequence of Strongly Independent Super-intuitionistic Propositional Calculi’) by A. Yablonsky in Soviet Mathematics 9 (1968), 806–807.] [Reviewed by Alfred Horn in JSL 37 (1972), 186; by Arend Heyting in MR 38 (1969), 190; by H. Luckhardt in ZMG 198 (1971), 318.]
V. A. Ánkov: ‘Ob isčislénii slabogo zakona isklúčennogo trét’égo,’ Izvéstiá Akadémii Nauk SSSR, Seriá Matématičéskadá 32 (1968), 1044–1051. [English translation (‘The Calculus of the Weak “Law of Excluded Middle”’) in Mathematics of the USSR-Izvestija 2 (1968), 997–1004. [Reviewed by Alfred Horn in JSL 37 (1972), 186; by G. Asser in MR 38 (1969), 998.]
V. A. Ánkov: ‘O rasširénii intuicionistskogo propozicional’nogo isčisleniá do klassičeskogo i minimal’nogo-do intuicionistskogo,’ Izvéstiá Akadémii Nauk SSSR, Seriá Matematičéskaá 32 (1968), 208–211. [English translation (‘On the Extension of the Intuitionist Propositional Calculus to the Classical Calculus, and the Minimal Calculus to the Intuitionist Calculus’) in Mathematics of the USSR-Izvestija 2 (1968), 205–208.] [Reviewed by John G. Anderson in JSL 38 (1973), 331–332; by Toshio Umezawa in ZMG 191 (1970), 286.]
Vladimir G. Kirin: ‘Post Algebras as Semantic Bases of Some Many-valued Logics,’ Fundamenta Mathematicae 63 (1968), 279–294. [Reviewed by Alan Rose in MR 39 (1970), 248; by F. Lapscher in ZMG 175 (1969), 266.] Korner (1968). Stephan Körner: ‘Reply to Mr. Kumar,’ The British Journal for the Philosophy of Science 18 (1968), 323–324.
See Čimev and Kutirkov (1968–69).
Karel Lambert: ‘On the No Type Theory of Significance,’ Australasian Journal of Philosophy 46 (1968), 79–86.
C. G. McKay: ‘The Decidability of Certain Intermediate Propositional Logics,’ The Journal of Symbolic Logic 33 (1968), 258–264. [Reviewed by Toshio Umezawa in JSL 36 (1971), 330–331; by A. S. Troelstra in MR 39 (1970), 248; by Tsutomu Hosoi in ZMG 175 (1969), 271.] McKay (1968a). C. G. McKay: ‘The Non-separability of a Certain Finite Extension of Heyting’s Propositional Logic,’ Koninklijke Nederlandse Akademie van Wetenschappen, Proceedings, Series A, Mathematical Sciences 71 (1968), 312–315; also printed in Indagationes Mathematicae 30 (1968), 312–315. [Reviewed by A. S. Troelstra in MR 37 (1969), 482–483; by Tsutomu Hosoi in ZMG 175 (1969), 262–263.]
See Miura and Nagata (1968).
Satoshi Miura and Shûrô Nagata: ‘Certain Method for Generating a Series of Logics,’ Nagoya Mathematical Journal 31 (1968), 125–129. [Reviewed by Alan Rose in MR 37 (1969), 483–484; by Tsutomu Hosoi in ZMG, vol. 165 (1969), p. 304.]
Grigor Constantin Moisil: ‘Lukasiewiczian Algebras.’ Preprints of the Institute for Mathematics of the Academy of Romanian Socialist Republic and of the Computing Center of the University of Bucharest, October, 1968. Montgomery (1968). See Routley and Montgomery (1968).
See Miura and Nagata (1968).
R. Ohba: ‘Some Properties of Mutually Connected Threshold Elements,’ Electronics and Communications in Japan, Institute of Electrical and Electronics Engineers, 51-C (1968), 172–178.
Takemasa Ohya: ‘Many-valued Logic Extended to Simple Type Theory,’ Science Reports of the Tokyo Kyoiku Daigaku, Section A 9 (1968), 260–270. [Reviewed by Alan Rose in ZMG 172 (1969), 8.]
Katuzi Ono: ‘A Remark on Peirce’s Rule in Many-valued Logics,’ Nagoya Mathematical Journal 31 (1968), 69–70. [Reviewed by J. E. Rubin in MR 36 (1968), 1207; by Newton C. A. da Costa in ZMG 162 (1969), 12.]
Alexandru Petcu: ‘The Definition of the Trivalent Lukasiewicz Algebras by Three Equations,’ Revue Roumaine de Mathematiques Pures et Appliquees 13 (1968), 247–250. [Reviewed by the author in MR 38 (1969), 998; by the author in ZMG 155 (1968), 15.]
Nicolae Popovici: ‘On the Consensus Theory for the Trivalent Argument Functions,’ Bulletin Mathématique de la Société des Sciences Mathématiques de la Republique Socialiste de Roumanie, n.s. 12 (1968), 103–109. [Reviewed by M. A. Harrison in MR 40 (1970), 235; by H. Rohleder in ZMG 176 (1969), 282.]
Nicholas Rescher: Topics in Philosophical Logic. Dordrecht (D. Reidel Publishing Company) 1968. [Reviewed by Ivo Thomas in ZMG 175 (1969), 264; by Malcolm K. Rennie in Australasian Journal of Philosophy 48 (1970), 153–164.]
Alan Rose: ‘Formalisations of Some N0-valued Lukasiewicz Propositional Calculi,’ The Journal of Symbolic Logic 33 (1968), 493–494.
Alan Rose: ‘Binary Generators for the m-valued and N0-valued Łukasiewicz Propositional Calculi,’ Compositio Mathematica 20 (1968), 153–169. [Reviewed by D. H. Potts in MR 38 (1969), 5; by the author in ZMG 157 (1969), 15–16.]
Alan Rose: ‘Formalisations of Some N0-valued Łukasiewicz Propositional Calculi,’ Proceedings of the Summer School in Logic (Leeds 1967), Berlin (Springer Verlag) 1968, pp. 269–271. [Reviewed by Louise Hay in MR 39 (1970), 249; by the author in ZMG 182 (1970), 316.]
George H. Rousseau: ‘Note on a Problem of Porte,’ Proceedings of the Cambridge Philosophical Association 64 (1968), 1. [Reviewed by G. E. Mine in ZMG 165 (1969), 12.]
See Routley and Montgomery (1968).
Richard Routley and Hugh Montgomery: ‘On Systems Containing Aristotle’s Thesis,’ The Journal of Symbolic Logic 33 (1968), 82–96.
See Rvačov and Škljarov (1968).
V. L. Rvačov and L. I. Škljarov: ‘Rk-functions’ (Ukrainian), Dopovidi Akadémii Nauk Ukrains’koi RSR, Serià A 1968, pp. 415–417. [Reviewed by Haskell B. Curry in MR 39 (1970), 249; by the authors in ZMG 159 (1969), 9.]
See Rvačov and Škljarov (1968).
CO. Sicoe: Sur la définition des algèbres lukasiewicziennes poly-valentes, Revue Roumanienne de Mathématique Pures et Appliquees 13 (1968), 1027. [Reviewed by the author in ZMG 184 (1970), 11.]
See Givone and Snelsire (1968).
Moto-o Takahashi: ‘Many-valued Logics of Extended Gentzen Style I,’ Science Reports of the Tokyo Kyoiku Daigaku, Section A 9 (1968), 95–116. [Reviewed by the author in MR 37 (1969), 8; by Alan Rose in ZMG 172 (1969), 8.]
Tadeusz Traczyk: ‘Prime Ideals in Generalized Post Algebras,’ Bulletin de I’Académie Polonaise des Sciences, Classe III 16 (1968), 369–373. [Reviewed by Ph. Dwinger in JSL 37 (1972), 189.]
Atwell R. Turquette: ‘Dualizable Quasi-strokes for m-state Automata,’ Information Sciences 1 (1968), 131–142. [Reviewed by the author in MR 42 (1971), 10.]
Bas C. van Fraassen: ‘Presupposition, Implication, and Self-reference,’ The Journal of Philosophy 65 (1968), 136–152.
J. C. Varlet: Algebres de Lukasiewicz trivalentes, Bulletin de la Societe Royale des Sciences de Liege 37 (1968), 399–408. [Reviewed by F. Lapscher in ZMG 175(1969), 266.]
Peter W. Woodruff: ‘Arguments in 3-valued Logic,’ The Journal of Symbolic Logic 33 (1968), 637.
Michael Yoeli: ‘Ternary Cellular Cascades,’ IEEE Transactions on Computers C-17 (1968), 66.
See Yoeli and Halperu (1968).
M Yoeli and I Halperu: Ternary Arithmetic Unit, Proceedings of the IEE 115 (1968), 1385.
V. A. Abdugaliev: ‘On the Question of the Representation of Functions of a A:-valued Logic by a Normal Form. I’ (Russian), Diskretnyĭ Analiz 15 (1969), 3–24. [Reviewed by G. E. Mine in MR 44 (1972), 488.]
V. B. Alekseev: ‘The Simple Bases of a k-valued Logic’ (Russian), Matematičeskie Zametki 5 (1969), 471–482. [English translation in Mathematical Notes 5 (1969), 282–287.] [Reviewed by Elliott Mendelson in MR 40 (1970), 460; by Arto Salomaa in ZMG 183 (1970), 4.]
See Bădele and Boicescu (1969).
I. Bădele and Vlad Boicescu: ‘Sur les extensions de algebres de Lukasiewicz,’ Comptes Rendus Hebdomadaires des Séances de I’Académie des Sciences, série A 269 (1969), 313–315. [Reviewed by Robert K. Meyer in MR 43 (1972), 1103; by the authors in ZMG 180 (1970), 299.]
R. A. Baĭramov: ‘The Predicative Characterizability of Subalgebras of Many-valued Logic’ (Russian), Izvestià Akadémii Nauk Azerbaĭdžanskoi SSR, Serià Fiziko-Tehničeskih i Matematičeskaà Nauk 1 (1969), 100–104. [Reviewed by Arto Salomaa in MR 41 (1971), 953; by Ivo G. Rosenberg in ZMG 193 (1970), 297.]
R. A. Bairamov: ‘Fundamentality Criteria for Permutation Groups and Transformation Semigroups’ (Russian), Doklady Akademii Nauk SSSR 189 (1969), 455–457. [English translation in Soviet Mathematics 10 (1969), 1414–1416.] [Reviewed by Arto Salomaa in MR 41 (1971), 953.]
See Bodnarčuk and Kalužnin and Kotov and Romov (1969).
V. G. Bodnarčuk, L. A. Kalužnin, V. N. Kotov and B. A. Romov: ‘Galois Theory for Post Algebras. I, II’ (Russian), Kibernetika (1969), no. 3, pp. 1–10; 1969, no. 5, pp. 1–9. [Reviewed by the authors in MR 46 (1973), p. 9; by H.-J. Hoehnke in ZMG 212 (1971), 318–319.]
See Badele and Boicescu (1969).
Walter Börner: ‘Eine Klasse vonDarstellungen der Funktionen der k-wertigen Logik,’ Wissenschaftliche Zeitschrift der Friedrich-Schiller-Universität, Jena/ Thuringen, 18 (1969), 313–316. [Reviewed by Alan Rose in MR 43 (1972), 7; by Tsutomu Hosoi in ZMG 222 (1971), 14.]
Eramis Bueno: ‘Polyvalent Modal Logics’ (Spanish), Universidad de la Habana 33 (1969), 123–133. [Reviewed by the author in MR 41 (1971), 954.]
Roberto Cignoli: Estudio algebraico de logicas polivalentes algebras de Moisil de orden N. Ph.D dissertation: Universidad Nacional de Sur, Bahia Blanca, 1969.
H. Dunderdale: ‘Current-mode Circuits for Ternary-logic Realisation,’ Electronic Letters 5 (1969), 575–577.
See Meyer and Dunn (1969).
Philip Dwinger: ‘Ideals in Generalized Post Algebras,’ Bulletin de I’Académie Polonaise des Sciences, Série des Sciences Mathématiques; Astronomiques et Physiques 17 (1969), 483–486. [Reviewed by the author in ZMG 183 (1970), 8.]
Ernest Edmonds: ‘Independence of Rose’s Axioms for m-valued Implication,’ The Journal of Symbolic Logic 34 (1969), 283–284. [Reviewed by Alan Rose in ZMG 182 (1970), 315.]
V. K. Finn: ‘The Precompleteness of a Class of Functions That Corresponds to the Three-valued Logic of J. Łukasiewicz’ (Russian), Naučno-Tehničeskaá Informaciá, serià 2 (1969), no. 10, pp. 35–38. [Reviewed by A. Tauts in MR 44 (1972), 714.] Fu (1969). See Wee and Fu (1969).
George Georgescu: ‘Algèbres de Lukasiewicz complètes,’ Comptes Rendus Hebdomadaires des Séances de I’Académie des Sciences, série A 269 (1969), 1181–1184. [Reviewed by H. Gonshor in MR 40 (1970), 1286.]
See Georgescu and Vraciu (1969).
See Georgescu and Vraciu (1969a).
See Georgescu and Vraciu (1969b).
See Georgescu and Vraciu (1969c).
See Georgescu and Vraciu (1969d).
George Georgescu and Constantin Vraciu: ‘n-valent Centered Lukasiewicz Algebras,’ Revue Roumanie de Mathematiques Pures et Appliquées 14 (1969), 793–802. [Reviewed by the authors in ZMG 182 (1970), 8.]
George Georgescu and Constantin Vraciu: ‘Le spectre maximal d’une algebre de Lukasiewicz,’ Comptes Rendus Hebdomadaires des Séances de I’Académie des Sciences, série A 268 (1969), 928–929. [Reviewed by Robert K. Meyer in MR 42(1971), 10.]
George Georgescu and Constantin Vraciu: ‘Sur les algebres de Lukasiewicz centrees,’ Comptes Rendus Hebdomadaires des Séances de I’Académie des Sciences, série A 268 (1969), 998–1000.
George Georgescu and Constantin Vraciu: ‘Sur le spectre maximal d’une algèbre de Lukasiewicz,’ Publications du Department de Mathématiques, Faculté des Sciences de Lyon 1 (1969), 42–54.
George Georgescu and Constantin Vraciu: ‘Sur les épimorphismes centrées des algèbres de Lukasiewicz,’ Comptes Rendus Hebdomadaires des Seances de I’Académie des Sciences, série A 4–6. [Reviewed by Robert K. Meyer in MR 42 (1971), 1359; by the authors in ZMG 174 (1969), 12.]
Leonard Goddard: ‘The Existence of Universals,’ Contemporary Philosophy in Australia, edited by Robert Brown and C. D. Rollins, London (Allen and Unwin) 1969, pp. 31–51.
J. A. Goguen: ‘The Logic of Inexact Concepts,’ Synthese 19 (1969), 325–373. [Reviewed by Newton C. A. da Costa in ZMG 184 (1970), 9–10.]
See Lévy and Hansel (1969).
See Mine and Hasegawa and Koga and Ideda and Shintani (1969).
See Hendry and Massey (1969).
Herbert E. Hendry and Gerald J. Massey: ‘On the Concepts of Sheffer Functions,’ The Logical Way of Doing Things, edited by Karel Lambert, New Haven (Yale University Press) 1969, pp. 279–293. [Reviewed by Robert A. Bull in ZMG 188(1970), 317.]
Alfred Horn: ‘Logic with Truth Values in a Linearly Ordered Heyting Algebra,’ The Journal of Symbolic Logic 34 (1969), 395–408. [Reviewed by George Georgescu in MR 40 (1970), 1285; by the author in ZMG 181 (1970), 299–300.]
Alfred Horn: ‘Free L-algebras,’ The Journal of Symbolic Logic 34 (1969), 475–480. [Reviewed by the author in ZMG 181 (1970), 300.]
Tsutomu Hosoi: ‘On Intermediate Logics. II,’ Journal of the Faculty of Science, University of Tokyo, section I 16 (1969), 1–12. [Reviewed by A. S. Troelstra in JSL 36 (1971), 329–330; by Robert A. Bull in MR 40 (1970), 995; by the author in ZMG 188 (1970), 316.]
See Mine and Hasegawa and Koga and Ideda and Shinatani (1969).
Luisa Iturrioz: ‘Erratum: Sur une classe particulière d’algebres de Moisil,’ Comptes Rendus Hebdomadaires des Séances de I’Académie des Sciences, série A 268 (1969), 923. [Registered in MR 39 (1970), 473.]
See Ivas’kiv and Pospelov and Tošič (1969).
Ju. L. Ivas’kiv, D. A. Pospelov and Tošič: ‘Description of Many-valued Logics’ (Russian), Kibérnétika (1969), no. 2, pp. 35–47. [Reviewed by Arto Salomaa in ZMG 216 (1971), 4.]
See Zaharova and Kudrjavcev and Jablonskiĭ (1969).
P. Janin: ‘Bases de l’algèbrisation de la logique trivalente,’ Analele Univer sitătii Bucureşti, Matematică-Mecanică 18, no. 2 (1969), pp. 57–88. [Reviewed by D. Ponasse in ZMG 202(1971), 276.]
V. A. Ánkov: ‘Konúnktivno nérazložimyé formuly v propozicional’nyh isčisleniáh,’ Izvestià Akadémii Nauk SSSR, Sérià Matématičéskaà 33 (1969), 18–38. [English translation (‘Conjunctively Indecomposable Formulas in Propositional Calculi’) in Mathematics of the USSR-Izvestija 3 (1969), 17–35.] [Reviewed by C. G. McKay in JSL 37 (1972), 186.]
Milutin M. Jorgovic: ‘A Remark Concerning a Base for Many-valued Propositional Algebra’ (Serbo-Croatian), Društvo Matematičara, Fizičara i Astronoma SRS i Matematiki Institut-Beograd, Matematicki Vesnik, n.s. 6 (1969), 451–452. [Reviewed by M. S. Popadic in MR 41 (1971), 269.]
See Bodnarčuk and Kalužnin and Kotov and Romov (1969).
See Kitahashi and Nomura and Tezuka and Kasahara (1969).
See Kitahashi and Nomura and Tezuka and Kasahara (1969).
Tadahiro Kitahashi, Hirosato Nomura, Yoshikazu Tezuka and Yoshiro Kasahara: ‘The Characterizing Parameters of Ternary Logical Functions and Their Applications to Threshold Logical Functions,’ Electronics and Communications in Japan, The Transactions of the Institute of Electronics and Communication Engineers of Japan 52 (1969), 195–201. [Reviewed by M. Stojakovic in MR 42 (1971), 1051.]
See Mine and Hasegawa and Koga and Ideda and Shintani (1969).
See Bodnarčuk and Kalužnin and Kotov and Romov (1969).
D. E. Knuth: The Art of Computer Programming. Volume 2: Seminumerical Algorithms. Reading (Addison-Wesley) 1969.
See Zaharova and Kudrjavcev and Jablonskiĭ (1969).
Dharmendra Kumar: ‘Neutrality, Contingency and Undecidability,’ The British Journal for the Philosophy of Science 19 (1969), 353–356.
Karel Lambert: ‘Logic and Microphysics,’ The Logical Way of Doing Things, edited by Karel Lambert, New Haven (Yale University Press) 1969, pp. 93–117.
Gerard Lévy: ‘Formes disjonctives minimales dans une logique à plusieurs valeurs,’ Comptes Rendus Hebdomadaires des Séances de I’Académie des Sciences, serie A 269 (1969), 613–615. [Reviewed by M. R. Krom in MR 40 (1970), 753; by the author in ZMG 207 (1971), 5.]
See Lévy and Hansel (1969).
Gerard Lévy and Georges Hansel: ‘Construction d’un schema fonctionnel en logique à plusieurs valeurs,’ Comptes Rendus Hebdomadaires des Séances de I’Académie des Sciences, série A 268 (1969), 681–684. [Reviewed by F. Vandamme in MR 44 (1972), 291; by Alan Rose in ZMG 193 (1970), 291.]
See Marek and Traczyk (1969).
W. Marek and Tadeusz Traczyk: ‘Generalized Łukasiewicz Algebras,’ Bulletin de I’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 17 (1969), 789–792. [Reviewed by M. M. Richter in MR 42 (1971), 293; by the authors in ZMG 202 (1971), 7.]
Peter Marinos: ‘Fuzzy Logic and Its Application to Switching Systems,’ IEEE Transactions on Computers C-18 (1969), 343–348. [Reviewed by the author in ZMG 172 (1969), 301–302.]
See Hendry and Massey (1969).
Gerald J. Massey: ‘Sheffer Functions for Many-valued S5 Modal Logics,’ Zeitschrift für mathematische Logik und Grundlagen der Mathematik 15 (1969), 101–104. [Reviewed by Akira Nakamura in ZMG 193 (1970), 292.]
See McCall and Vander Nat (1969).
Storrs McCall and Arnold Vander Nat: ‘The System S9,’ Philosophical Logic, edited by J. W. Davis, D. J. Hockney and W. K. Wilson, Dordrecht (D. Reidel Publishing Company) 1969, pp. 194–214.
See Meyer and Dunn (1969).
Robert K. Meyer and J. Michael Dunn: ‘E, R and y,’ The Journalof Symbolic Logic 34 (1969), 460–474. [Reviewed by B. Lercher in MR 40 (1970), 996.]
See Mine and Hasegawa and Koga and Ideda and Shintani (1969).
Hisashi Mine, Toshiharu Hasegawa, Yohiahi Koga, M. Ideda and T. Shintani: ‘Construction and Analysis of a Tri-stable Circuit and Its Application to Ternary Feedback Register,’ Electronics and Communications in Japan, The Transactions of the Institute of Electronics and Communication Engineers of Japan 52-C (1969), 103–111.
E. I. Nečiporuk: ‘The Topological Principles of Autocorrection’ (Russian), Problémy Kibérnétiki 21 (1969), 5–102. [Reviewed by J. Kuntzmann in MR 45 (1973), 584.]
See Kitahashi and Nomura and Tezuka and Kasahara (1969).
William Ockham: Predestination, God’s Foreknowledge and Future Contingents, edited with an introduction, notes and appendices by Marilyn McCord Adams and Norman Kretzmann. New York (Appleton-Century-Crofts) 1969. Porat (1969). D. I. Porat: ‘Three-valued Digital Systems,’ Proceedings of the IEE 116 (1969), 947–954.
D. I. Porat: ‘Three-valued Digital Systems,’ Proceedings of the IEE 116 (1969), 947–954.
See Ivas’kiv and Pospelov and Tošič (1969).
Hilary Putnam: ‘Is Logic Empirical?,’ Proceedings of the Boston Colloquium for the Philosophy of Science, 1966–1968, edited by Robert S. Cohen and Marx W. Wartofsky, Dordrecht (D. Reidel Publishing Company) 1969, pp. 216–241.
M. F. Raca: ‘The Class of Functions of Three-valued Logic That Corresponds to the First Matrix of Jas’kovski’ (Russian), Problémy Kibernétiki, 21 (1969), 185–214. [Reviewed by F. Vandamme in MR 46 (1973), 1207–1208.]
Helena Rasiowa: ‘A Theorem on the Existence of Prime Filters in Post Algebras and the Completeness Theorem for Some Many-valued Predicate Calculi,’ Bulletin de I’Académie Polonaise des Sciences, Serie des Sciences Mathématiques, Astronomiques et Physiques 17 (1969), 347–354. [Reviewed by Arto Salomaa in MR 41 (1971), 595; by the author in ZMG 184 (1970), 11–12.]
Nicholas Rescher: Many-valued Logic. New York (McGraw-Hill BookCompany, Inc.) 1969. [Reviewed by G. E. Mine in ZMG 248 (1973), 7.]
Nicholas Rescher: ‘Autodescriptive Systems of Many-valued Logic,’ The Journal of Symbolic Logic 34 (1969), 158.
See Bodnarčuk and Kalužnin and Kotov and Romov (1969).
Alan Rose: ‘Single Generators for Henkinian Fragments of the 2-valued Propositional Calculus,’ Zeitschrift für mathematische Logik und Grundlagen der Mathematik 15 (1969), 85–92. [Reviewed by D. H. Potts in MR 40 (1970), 3; by the author in ZMG 182 (1970), 314.]
Alan Rose: ‘Nouvelle formalisation du calcul propositionnel à N0-valeurs de ukasiewicz dans le cas ou il y a des foncteurs variables,’ Comptes Rendus Hebdomadaires des Séances de I’Académie des Sciences, série A 269 (1969), 265–266. [Reviewed by the author in ZMG 184 (1969), 8.]
Alan Rose: ‘Some Many-valued Propositional Calculi without Single Generators,’ Zeitschrift für mathematische Logik und Grundlagen der Mathematik 15 (1969), 105–106. [Reviewed by D. H. Potts in MR 41 (1971), 7; by the author in ZMG 184 (1970), 280.]
Alan Rose: ‘Sur les éléments universels trivalents de dé cision,’ ComptesRendus Hebdomadaires des Séances de I’Académie des Sciences, série A 269 (1969), 1–3.
Alan Rose: ‘The Degree of Completeness of the m-valued Łukasiewicz Propositional Calculus, Correction and Addendum,’ Journal of the London Mathematical Society 44 (1969), 587–591. [Reviewed by Gene F. Rose in JSL 39 (1974), 350; by Jens Erik Fenstad in MR 39 (1970), 962; by the author in ZMG 182 (1970), 316.]
Ivo G. Rosenberg: ‘Über die Verschiedenheit maximaler Klassen in Pk,’ Revue Romaine Mathématique Pures et Appliqueés 14 (1960), 431–438. [Reviewed by the author in ZMG 193 (1970), 291.]
James Rosenberg: ‘The Application of Ternary Semigroups to the Study of n- valued Sheffer Functions,’ Notre Dame Journal of Formal Logic 10 (1969), 90–94. [Reviewed by R. L. Graham in JSL 38 (1973), 520; by D. H. Potts in MR 41 (1971), 269; by F. Lapscher in ZMG 191 (1970), 288.]
George H. Rousseau: ‘Logical Systems with Finitely Many Truth-values,’ Bulletin de I’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 17 (1969), 189–194. [Reviewed by Alan Rose in MR 41 (1971), 595.]
Richard Routley: ‘The Need for Nonsense,’ Australasian Journal of Philosophy 47 (1969), 367–374.
See Routley and Routley (1969).
Richard Routley and Valerie Routley: ‘Categories—Expressions or Things?,’ Theoria 35 (1969), 215–238.
See Routley and Routley (1969).
Imre Ruzsa: ‘Random Models of Logical Systems. I: Models of Valuing Logics,’ Studia Scientiarum Mathematicarum Hungarica 4 (1969), 301–312. [Reviewed by the author in ZMG 187 (1970), 269–270.]
Albert Sade: ‘Fonctions propositionnelles monadiques dans la logique trivalente,’ Annales de la Société Scientifique de Bruxelles, série I, Sciences Mathématiques, Astronomiques et Physiques 83 (1969), 203–214. [Reviewed by the author in MR 40 (1970), 753–754; by the author in ZMG 175 (1969), 264.]
Albert Sade: ‘Algébre de Łukasiewicz dans la logique trivalente,’ Univerzitet u Beogradu, Publikacije Elektrotehničkog Fakulteta, Seriá Matematika i Fizika no. 247–273 (1969), 123–130. [Reviewed by Newton C. A. da Costa in MR 41 (1971), 7.]
Albert Sade: ‘Sur le premier système de Lukasiewicz,’ Archivum Matématiques 5 (1969), 207–214. [Reviewed by M. Stojaković in MR 43 (1972), 1325; by A. Johanson in ZMG 256 (1973), 13.]
Peter Schofield: ‘Independent Conditions for Completeness of Finite Algebras with a Single Generator,’ Journal of the London Mathematical Society 44 (1969), 413–423. [Reviewed by Alan Rose in MR 39 (1970), 249.]
George F. Schumm: ‘On Some Open Questions of B. Sobocinski,’ Notre Dame Journal of Formal Logic 10 (1966), 261–262. [Reviewed by Richmond H. Thomason in MR 40 (1970), 754; by the author in ZMG 167 (1969), 9.]
See Shinahr and Yoeli (1969).
Ilka Shinahr and Michael Yoeli: ‘Group Functions and Multivalued Cellular Cascades,’ Information and Control 15 (1969), 369–376. [Reviewed by the authors in MR 40 (1970), 733.]
See Mine and Hasegawa and Koga and Ideda and Shintani (1969).
Anjan Shukla: ‘A Note on Independence,’ Notre Dame Journal of FormalLogic 10 (1969), 410–411. [Reviewed by the author in MR 40 (1970), 3.]
A. Tauts: Nonregular First Order Predicate Calculus (Russian), AlgébrA i Logika 8 (1969), 76–92. [English translation in Algebra and Logic, 8 (1969), 41-49.] [Reviewed by M. Rogava in MR 43 (1972), 1102.]
See Kitahashi and Nomura and Tezuka and Kasahara (1969).
See Ivas’kiv and Pospelov and Tošič (1969).
See Marek and Traczyk (1969).
Atwell R. Turquette: ‘Generalizable Kleene Logics,’ Proceedings of the American Mathematical Society 20 (1969), 361–367. [Reviewed by Alan Rose in MR 39(1970), 249; by the author in ZMG 182 (1970), 315–316.]
Atwell R. Turquette: ‘Peirce’s Complete System of Triadic Logic,’ Transactions of the Charles S. Peirce Society 5 (1969), 199–210.
Bas C. van Fraassen: ‘Presuppositions, Supervaluations, and Free Logic,’ The Logical Way of Doing Things, edited by Karel Lambert, New Haven (Yale University Press) 1969, pp. 67–91.
See McCall and Vander Nat (1969).
J. C. Varlet: ‘Considérations sur les algèbres de Lukasiewicz trivalentes,’ Bulletin de la Société Royale des Sciences de Liège 38 (1969), 462–469. [Reviewed by the author in ZMG 193 (1970), 296–297.]
V. I. Varšavskiĭ: ‘A Majority Operation in Many-valued Logic’ (Russian), Kibérnétika (1969), no. 2, 64–67. [Reviewed by Ivo G. Rosenberg in ZMG 211 (1971), 12.]
See Georgescu and Vraciu (1969).
See Georgescu and Vraciu (1969a).
See Georgescu and Vraciu (1969b).
See Georgescu and Vraciu (1969c).
See Georgescu and Vraciu (1969d).
K. M. Waliuzzaman: Multistage Implementation of Multi-valued Switching Functions. Ph.D. dissertation: University of Toronto, 1969.
See Wee and Fu (1969).
William G. Wee and K. S. Fu: ‘A Formulation of Fuzzy Automata and Its Application as a Model of Learning Systems,’ IEEE Transactions of Systems Science and Cybernetics 5 (1969), 215–223. [Reviewed by the authors in ZMG 188 (1970), 332.]
A. V. Wijngaarden (editor): ‘Report on the Algorithmic Language ALGOL 68,’ Numerische Mathematik 14 (1969), 79–218.
Ryszard Wójcicki: ‘Logical Matrices Strongly Adequate for Structural Sentential Calculi,’ Bulletin de I’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 17 (1969), 333–335. [Reviewed by Eugen Mihailescu in MR 41 (1971), 595; by A. I. Arruda in ZMG 198 (1971), 19.]
Peter Worthing Woodruff: Foundations of Three-valued Logic. Ph.D. dissertation: University of Pittsburgh, 1969. Ann Arbor (University Microfilms) 1969.
See Shinahr and Yoeli (.1969).
See Zaharova and Kudrjavcev and Jablonskiĭ (1969).
E. Ju. Zaharova, Valeriĭ B. Kudrjavcev and S. V. Jablonskiĭ: ‘Precomplete Classes in k-valued Logic’ (Russian), Doklady Akademii Nauk SSSR 186 (1969), 509–512. [English translation in Soviet Mathematics 10 (1969), 618–622.] [Reviewed by L. W. Szczerba in MR 39 (1970), 1220; by Louis F. Goble in ZMG 191 (1970), 288.]
V. A. Abdugaliev: On the Question of the Representation of Functions of a k-valued Logic by a Normal Form. II. Selection of the Simple Parts of a Pair (A, B) when (L A , LB) = 0 and LA = LB Construction of the Reduced Disjunctive Normal Form’ (Russian), Diskretnyĭ Analiz 16 (1970), 3–15. [Reviewed by G. E. Mine in MR 44(1972), 488.]
See Santos and Arango and Pascual and Roing (1970).
See Bellman and Zadeh (1970).
Richard E. Bellman and L. A. Zadeh: ‘Decision-making in a Fuzzy Environment,’ Management Science 17, no. 4 (1970), pp. B-141-B-164.
See Belnap and McCall (1970).
Fernando Bertolini: ‘Kripke Models and Manivalued Logics,’ Symposia Mathematica, vol. V, London (Academic Press) 1970, pp. 113–131. [Reviewed by A. Tauts in MR 45 (1973), 5; by the author in ZMG 212 (1971), 19–20.]
Fernando Bertolini: ‘Kripke Models and Many-valued Logics. II,’ Rendiconti del Seminario Matematico dell’Universitá di Padova 44 (1970), 355–381. [Reviewed by A. Tauts in MR 46 (1973), 260; by Alan Rose in ZMG 266 (1974), 15.]
See Bieltz and Birliba (1970).
Petre Bieltz and Mihai Dan Bîrliba: ‘Some Remarks Concerning the Principle of Excluded Middle,’ Analele Universitâtii Bucureşti, Seria Acta Logica 13 39–47. [Registered in ZMG 266 (1974), 13.]
See Bieltz and Bîrliba (1970).
Vlad Boicescu: ‘Sur la representation des algebres de Lukasiewicz n- valentes,’ Comptes Rendus Hebdomadaires des Séances de I’Académie des Sciences, série A 270 (1970), 4-7. [Reviewed by Luiz F. T. Monteiro in JSL 38 (1973), 153; by Alan Rose in MR 41 (1971), 269; by the author in ZMG 193 (1970), 297.]
See Boicescu and Georgescu (1970).
Vlad Boicescu and George Georgescu: ‘Les algèbres de Lukasiewicz centrées et axées,’ Revue Roumanie de Mathématiques Pures et Appliquees 15 (1970), 675–681. [Reviewed by Newton C. A. da Costa in MR 41 (1971), 1505–1506; by the authors in ZMG 202 (1971), 7.]
Eramis Bueno: ‘A Certain Class of Many-valued Modal Systems’ (Russian), Néklassičeskaá Logika, edited by P. V. Tavanec, Moscow (Izdatel’stvo “Nauka”) 1970, pp. 276–285. [Reviewed by I. Ruzsa in MR 47 (1974), 1121.]
G. E. Ceitlin: ‘The Structure of a Modified Post Algebra and Its Properties’ (Russian), Kibernetika (1970), no. 4, pp. 39–54. [Reviewed by Stephan L. Bloom in MR 45 (1973), 585.]
Roberto Cignoli: Moisil Algebras. Notas de Logica Matematica) N° 27, Bahia Blanca (Instituto de Matématica, Universidad Nacional) 1970. 47 pp. [Reviewed by Tadeusz Traczyk in ZMG 212 (1971), 317.]
H. Dunderdale: ‘Current-mode Circuits for the Unary Functions of a Ternary Variable,’ Electronic Letters 6 (1970), 15–16.
J. Michael Dunn: ‘Algebraic Completeness Results for R-mingle and Its Extensions,’ The Journal of Symbolic Logic 35 (1970), 1–13. [Reviewed by Robert I. Goldblatt in MR, 44 (1972), 952.]
J. Michael Dunn: ‘Extensions of RM and LC,’ The Journal of Symbolic Logic 35 (1970), 360.
V. K. Finn: ‘Certain Characteristics Truth-tables of Classical Logic and of the Three-valued Logic of J. Łukasiewicz’ (Russian), Isslédovanie Logičékih Sistém, edited by P. V. Tavanec, Moscow (Izdatél’stvo “Nauka”) 1970, pp. 215–261. [Reviewed by M. Stojakovic in MR 48 (1974), 339-340; by B. M. Schein in ZMG 252 (1973), 10.]
R. V. Freĭvald: ‘Coding of Finite Sets and a Criterion of Completeness up to Coding in Three-valued Logic’ (Russian), Doklady Akadémii Nauk SSSR 190 (1970), 1034–1037. [English translation in Soviet Mathematics 11 (1970), 249–253.] [Reviewed by the author in ZMG 206 (1971), 6.]
Dov M. Gabbay: ‘The Decidability of the Kreisel-Putnam System,’ The Journal of Symbolic Logic 35 (1970), 431–437.
George Georgescu: ‘Caractérisation des épimorphismes de algèbres de Lukasiewicz 0-valentes,’ Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, série A 271 (1970), 1222–1224. [Reviewed by the author in MR 42 (1971), 1360; by the author in ZMG 205 (1971), 305.]
George Georgescu: ‘La dualite des algebres de Post 0-valentes,’ Comptes Rendus Hebdomadaires des Séances de I’Académie des Sciences, série A 271 (1970), 766–768.
See Boicescu and Georgescu (1970).
See Georgescu and Vraciu (1970).
George Georgescu: ‘The Centered Epimorphisms and the Construction of the Tensor Product in Lukn,’ Revue Roumanie de Mathematique Pures et Appliquees 15 (1970), 693–709. [Reviewed by the author in ZMG 202 (1971), 7.]
George Georgescu and Constantin Vraciu : ‘On the Characterization of Centered Lukasiewicz Algebras,’ Journal of Algebra 16 (1970), 486–495. [Reviewed by J. Drabbe in MR 42 (1971), 1360; by the author in ZMG 207 (1971), 7.]
Leonard Goddard: ‘Nonsignificance,’ Australasian Journal of Philosophy 48 (1970), 10–16.
See Haberlin and Muller (1970).
H. Haberlin and H. Muller: ‘Arithmetische Operationen mitbinar codierten Ternarzahlen,’ Mitteilungen AGEN no. 11 (1970), pp. 55–58.
Heelan (1970). Patrick A. Heelan: ‘Quantum Logic and Classical Logic: Their Respective Roles,’ Synthese, vol. 21 (1970), pp. 2–33. Reprinted in Logical and Epistemological Studies in Contemporary Physics, edited by Robert S. Cohen and Marx W. Wartofsky, Dordrecht (D. Reidel Publishing Company) 1974, pp. 318–349. [Reviewed by R. J. Greechie in ZMG 205 (1971), 8.]
Hans G. Herzberger: ‘Truth and Modality in Semantically Closed Languages,’ The Paradox of the Liar, edited by Robert L. Martin, New Haven (Yale University Press) 1970, pp. 25–46.
See Hosoi and Ono (1970).
Tsutomu Hosoi and Hiroakira Ono : ‘The Intermediate Logics on the Second Slice,’ Journal of the Faculty of Science, University of Tokyo, Section I A, Mathematics 17 (1970), 457–461. [Reviewed by Robert A. Bull in MR 44 (1972), 713’714; by the authors in ZMG 216 (1971), 5.]
Hung (1970). Hung Chen Uan: ‘Remarks on Intermediate Logics,’ Taiha Journal of Mathematics 2 (1970), 31–43. [Registered in ZMG 236 (1972), 23.]
A. A. Ivin: ‘Definitions of Alethic and Deontic Modal Functions in Terms of Material Implication and Constants’ (Russian), Néklassičeskaá Logika, edited by P. V. Tavanec, Moscow (Izdatél’stvo “Nauka”) 1970, pp. 113–123. [Reviewed by I. Ruzsa in MR 47 (1974), 1121.]
L. Janczewski: Practical Realization of Multivalued Logic Circuits. M.A.Sc. Thesis: University of Toronto, 1970.
See Kitahashi and Tezuka and Kasahara and Nomura (1970).
See Kitahashi and Tezuka and Kasahara and Nomura (1970).
T Kitahashi, Y Tezuka, Y Kasahara and H Nomura: ‘Monotonicity of Ternary Logical Functions and Its Applications to the Analysis of Ternary Threshold Functions’ (Japanese), Denshi Tsushin Gakkai Ronbunshi 53-C (1970), 73–79. [English translation in Systems-Computers-Controls 1 (1970), 55–63.] [Reviewed by Alan Rose in MR 48 (1974). 15.]
V. I. Klevačev : Certain Systems that are Complete in Pk (Russian), Kibernetika (1970), pp. 139–140. [Reviewed by Ivo G. Rosenberg in MR 45 (1973), 583.]
Stephan Körner: Categorial Frameworks. New York ( Barnes and Noble, Inc. ) 1970.
V. B. Kudrjavcev: ‘The Coverings of Precomplete Classes of k-valued Logic’ (Russian), Diskretnyĭ Analiz 17 (1970), 32–44. [Reviewed by M. Stojakovic in MR, 45 (1973), 313-314; by G. E.. Mine in ZMG 253 (1973), 15.]
See Vranesic and Lee and Smith (1970).
Jan Łukasiewicz: Selected Works, edited by L. Borkowski. Amsterdam (North-Holland Publishing Company) 1970. [Reviewed by Czesław Lejewski in The Journal of Philosophy 70 (1973), 82–85; by Storrs McCall in Synthese, 26 (1973), 165–171; by G. E. Mine in ZMG 212 (1971), 9; by William Kneale in Mind, n.s. 81 (1972), 144–147.]
See Belnap and McCall (1970).
See Mine and Shimada (1970).
Hisashi Mine and Ryosaku Shimada: ‘Permutations and Lattice Operations in Many-valued Logic’ (Japanese), Denshi Tsushin Gakkai Ronbushi 53-C (1970), 166–173. [English translation in Systems-Computers-Controls 1 no. 2 (1970), 24–32.] [Reviewed by Alan Rose in MR 46 (1973), 1522.]
LFT. Monteiro : ‘Les algèbres de Heyting et de Lukasiewicz trivalentes’, Notre Dame Journal of Formal Logic 11(1970), 453–466. [Reviewed by I. Petrescu in MR 44 (1972), 714; by the author in ZMG 177 (1970), 10.]
LFT. Monteiro : ‘Extension d’homomorphismes dans les algebres de Lukasiewicz trivalentes’, International Logic Review no. 2 (1970), 193–200. [Reviewed by S. Comer in MR 46 (1973), 1213-1214.]
See Haberlin and Muller (1970).
Muzio (1970). J. C. Muzio: ‘A Decision Process for 3-valued Sheffer Functions. I,’ Zeitschrift für mathematische Logik und Grundlagen der Mathematik 16 (1970), 271–280. [Reviewed by Alan Rose in MR 43 (1972), 850; by the author in ZMG 191 (1970), 287.]
See Kitahashi and Tezuka and Kasahara and Nomura (1970).
See Hosoi and Ono (1970).
Pannier (1970 abstract). Robert A. Pannier: ‘Axiomatic Systems and m-valued Calculi,’ The Journal of Symbolic Logic 35 (1970), 360.
See Santos and Arango and Pascual and Roing (1970).
Richard L. Purtill: ‘Four-valued Tables and Modal Logic,’ Notre Dame Journal of Formal Logic 11 (1970), 505–511. [Reviewed by Nino B. Cocchiarella in MR, 46 (1973), 261; by the author in ZMG 169 (1969), 300.]
Willard Van Orman Quine: Philosophy of Logic. Englewood Cliffs ( Prentice-Hall, Inc. ) 1970.
M. F. Raca: ‘Functional Completeness in Certain Logics that are Intermediate Between the Classical and Intuitionistic Ones’ (Russian), Matematičeskie Issledovaniá 5 (1970), 171’176. [Reviewed by F. Vandamme in MR 46 (1973), 1208; by G. E. Mine in ZMG 232 (1972), 15.]
Helena Rasiowa: ‘Ultraproducts of m-valued Models and a Generalization of the Ldwenheim-Skolem-Godel-Malcev Theorem for Theories Based on m-valued Logics,’ Bulletin de I’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 18 (1970), 415–420. [Reviewed by Arto Salomaa in MR 43 (1972), 850; by the author in ZMG 221 (1972), 24.]
R. A. Rockingham Gill: ‘The Craig-Lyndon Interpolation Theorem in 3-valued Logic,’ The Journal of Symbolic Logic 35 (1970), 230–238. [Reviewed by M. R. Krom in MR 43 (1972), 7; by Alan Rose in ZMG 212 (1971), 315–316.]
See Santos and Arango and Pascual and Roing (1970).
Ivo G. Rosenberg: ‘Complete Sets for Finite Algebras,’ Mathematische Nachrichten 44 (1970), 253–258. [Reviewed by Arto Salomaa in MR 43 (1972), 850; by the author in ZMG 212 (1971), 318.]
George H. Rousseau: ‘Sequents in Many-valued Logic II,’ Fundamenta Mathematicae 67 (1970), 125’131. [Reviewed by Arend Heyting in MR 41 (1971), 1229; by the author in ZMG 193 (1970), 307.]
GH. Rousseau: Post Algebras and Pseudo-Post Algebras, Fundamenta Mathematicae 67 (1970), 133–145. [Reviewed by Tadeusz Traczyk in ZMG 198(1971),19.]
I Ruzsa: Random Models of Logical Systems. II: Models of Some Modal Logics, Studia Scientiarum Mathematicarum Hungarica 5 (1970), 255–265. [Reviewed by the author in ZMG 237 (1973), 28.]
See Santos and Arango and Pascual and Roing (1970).
J. Santos, H. Arango, M. Pascual and G. Roing: A Cyclic Algebra for the Synthesis of Ternary Digital Systems, IEEE Transactions on Computers C-19 (1970), 651–653.
HF. Schott: Generalizability of the Propositional and Predicate Calculi to Infinite-valued Calculi, Notre Dame Journal of Formal Logic 11 (1970), 107–128. [Reviewed by Alan Rose in MR 44 (1972), 1174; by Alan Rose in ZMG 212 (1971), 315.]
Kajetan Šeper: ‘A Decision Problem Concerning Autoduality in k-valued Logic,’ Zeitschrift für mathematische Logik und Grundlagen der Mathematik 17 (1971), 251–255. [Reviewed by Alan Rose in MR44 (1972), 1176.]
See Mine and Shimada (1970).
Thoralf Skolem: Selected Works in Logic, edited by Jens Erik Fenstad. Oslo-Bergen–Tromsö (Universitetsforlaget) 1970. [Reviewed by K. Inoue in MR 44 (1972), 484–485; by G. E. Mine in ZMG 228 (1972), 12.]
Brian Skyrms: ‘Return of the Liar: Three-valued Logic and the Concept of Truth,’ American Philosophical Quarterly 1 (1970), 153–161. Skyrms (1970a). Brian Skyrms: Notes on Quantification and Self-reference, The Paradox of the Liar, edited by Robert L. Martin, New Haven (Yale University Press) 1970, pp. 67–74.
See Vranesic and Lee and Smith (1970).
Ju. N. Soloduhin: ‘A Concept of Function-analogue and a Criterion for Functional Incompleteness of Systems of Many-valued Logic’ (Russian), Isslédovanié Logičéskih Sistém, edited by P. V. Tavanec, Moscow (Izdatél’stvo “Nauka”) 1970, pp. 271–281. [Reviewed by G. Bär in MR 47 (1974), 1120–1121; by G. E. Mine in ZMG 265 (1974), 18.]
See Tanaka and Tahara (1970).
Moto-o Takahashi: ‘Continuous A-e Logics,’ The Annuals of the Japan Association for the Philosophy of Science 3 (1970), 205–215. [Reviewed by the author in MR 44 (1972), 1176–1177; by G. Fuhrkenin ZMG 213 (1971), 14.]
M Takahashi: Many-valued Logics of Extended Gentzen Style II, The Journal of Symbolic Logic 35 (1970), 493–528. [Reviewed by the author in MR 44 (1972), 1177; by Alan Rose in ZMG 229 (1972), 19.]
J Tallet: On the Symmetry of Many-valued Logical Systems, Logique et Analyse, n.s. 13 (1970), 302–322. [Reviewed by G. Bar in MR 44 (1972), 291; by Louis F. Goble in ZMG 216 (1971), 287.]
See Tanaka and Tahara (1970).
Sueo Tanaka and Michio Tahara: ‘Functional Completeness and Polyphecks in 3-valued Logic’ (Japanese), Denshi Tsushin Gakkai Ronbunshi 53-C (1970), 111–118. [English translation in Systems-Computers-Controls 1 (1970), 64–73.] [Reviewed by Alan Rose in MR 48 (1974), 16.]
See Kitahashi and Tezuka and Kasahara and Nomura (1970).
RH. Thomason: Indeterminist Time and Truth-value Gaps, Theoria 36 (1970), 264–281. [Reviewed by Robert I. Goldblatt in MR 47 (1974), 5-6; by the author in ZMG 269 (1974), 19.]
Dolph E. Ulrich: ‘Decidability Results for Some Classes of Propositional Calculi,’ The Journal of Symbolic Logic 35 (1970), 353–354.
DI. Vakarelov: The Concept of Dogma and Some Systems of Many-valued Logic (Russian), Godišnik na Sofiĭskia Universitet, Filos.-Istor. Fakultet 64 (1970) no. 1 (Filos.), 249–264. [Reviewed by VI. Sotirov in ZMG 247 (1973), 8-9.]
Bas C. van Fraassen: ‘Truth and Paradoxical Consequences,’ The Paradox of the Liar, edited by Robert L. Martin, New Haven (Yale University Press) 1970, pp. 13–23.
Bas C. van Fraassen: ‘Rejoinder: On a Kantian Conception of Language,’ The Paradox of the Liar, edited by Robert L. Martin, New Haven (Yale University Press) 1970, pp. 59–66.
Giovanni Villa: ‘Calcola proposizionale trivalente dialettico,’ Bollettino della Unione Matematica Italiana, Serie IV 3 (1970), 1026–1041. [Reviewed by the author in ZMG 202 (1971), 6.]
See Georgescu and Vraciu (1970).
See Vranesic and Lee and Smith (1970).
ZG. Vranesic, E. S. Lee and KC. Smith: ‘alued Algebra for Switching Systems’ IEEE Transactions on Computers C-19 (1970), 964–971.
B. Węglorz : ‘entation Theorem for Post-like Algebras’ Colloquium Mathematicum 22 (1970), 35–39. [Reviewed by J. Waszkiewicz in ZMG 209 (1971), 14.]
WC. Wilcox : ‘On Infinite Matrices and the Paradoxes of Strict Implication,’ Notre Dame Journal of Formal Logic 11 (1970), 254–256. [Reviewed by Newton C. A. da Costa in MR 43 (1972), 589; by the author in ZMG 167 (1969), 8.]
E. Włodarska: ‘On Representation of Post Algebras Preserving Some Infinite Joins and Meets’, Bulletin de IAcadémie Polonaise des Sciences, Série des Sciences Mathematiques, Astronomiques et Physiques 18 (1970), 49–54. [Reviewed by Tadeusz Traczyk in ZMG 208 (1971), 12.]
R Wójcicki : ‘Some Remarks on the Consequence Operation in Sentential Logics,’ Fundamenta Mathematicae 68 (1970), 269–279. [Reviewed by G. E. Mine in ZMG 202 (1971), 274.]
Peter W. Woodruff: ‘Constructive Three-valued Logic,’ The Journal of Symbolic Logic 35 (1970), 183–184.
Peter W. Woodruff: ‘Logic and Truth Value Gaps,’ Philosophical Problems in Logic: Some Recent Developments, edited by Karel Lambert, Dordrecht (D. Reidel Publishing Company) 1970, pp. 121–142. [Reviewed by John Corcoran and J. Herring in MR 44 (1972), 1177; by the author in ZMG 194 (1970), 307.]
See Bellman and Zadeh (1970).
Aleksandr A. Zinov’ev: ‘Minimal Tautologies and Contradictions in Finitely Many-valued Logic’ (Russian), Isslédovanie Logičéskih Sistém, edited by P. V. Tavanec, Moscow (Izdatél’stvo “Nauka”) 1970, pp. 262–270. [Reviewed by G. Bär in MR 47 (1974), 1121; by G. E. Mine in ZMG 243 (1973), 20.]
V. B. Alekseev : ‘Simple Bases and Simple Functions in k-valued Logic’ (Russian), Kibérnétika (1971), no. 5, pp. 137–141. [Reviewed by Ivo G. Rosenberg in MR 46 (1973), 1521–1522; by Arto Salomaa in ZMG 253 (1973), 14–15.]
V. B. Alekseev : ‘On the Number of Simple Bases in k-valued Logic’ (Russian), Diskretnyĭ Analiz 19 (1971), 3–10. [Reviewed by Arto Salomaa in ZMG 252(1973), 10.]
See Zavisca and Allen (1971).
P Aloisio : ‘Alcune osservazioni sulla definibilità di operatori finiti e sulla decidibilità algoritmica della completezza funzionale e deduttiva delle logiche a più valori,’Annali dell’Università di Ferrara (Nuovo Serie), Sezione VII, Scienze Matematiche16 (1971), 157–165. [Reviewed by Haskell B. Curry in MR 46 (1973), 557; by F. G. Asenjo in ZMG 238 (1972), 21.]
John G. Anderson: ‘The Degree of Completeness of Dummett’s LC and Thomas’ LCn,’ Journal of the London Mathematical Society 3 (1971), 558–560.
Richard B. Angell: ‘Connexive Implication, Modal Logic and Subjunctive Conditionals,’ The Journal of Symbolic Logic 36 (1971), 367–368.
See Applebee and Pahi (1971).
RC. Applebee and B Pahi: ‘ults on Generalized Truth Tables,’ Notre Dame Journal of Formal Logic 12 (1971), 435–440. [Reviewed by Robert I. Goldblatt in MR 45 (1973), 1217.]
See Ayat and Vranesic (1971).
K. A. El Ayat and Zvonko G. Vranesic: ‘Application of Multivalued Cyclic Codes,’ Conference Record of the 1971 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1971), pp. 7–12.
R. A. Baĭramov : ‘The Classes of Multiplace Functions on Finite Sets’ (Russian), Akademià Nauk Azerbaĭdžanskoi SSR, Doklady 27, no. 7 (1971), 6–9. [Reviewed by M. Stojakovic in MR 46 (1973). 4; by the author in ZMG 229 (1972), 26.]
G Barton : ‘Algebre di Post monadiche,’ Matematiche 26 (1971), 252–260. [Reviewed by S. Rudeanu in ZMG 262 (1974), 25.]
See Blohina and Kudrjavcev (1971).
G. N. Blohina and V. B. Kudrjavcev: ‘On Basic Groups in k-valued Logics’ (Russian), Doklady Akadémii Nauk SSSR 201 (1971), 9–11. [English translation in Soviet Mathematics 12 (1971), 1583-1585.] [Reviewed by Tsutomu Hosoi in ZMG 243 (1973), 20.]
Vlad Boicescu: ‘Sur les algèbres de Lukasiewicz,’ Logique, Automatique, Informatique, edited by Grigor Constantin Moisil, Bucharest (Éditions de I’Académie dela Rpublique Socialiste de Roumanie) 1971, pp. 71–89. [Reviewed by Alonzo Church in JSL 39 (1974), 184; by D. Ponasse in ZMG 273 (1974), 19.]
Vlad Boicescu: ‘Sur les systèmes déductifs dans la logique θ-valente,’ Publications du Départment de Mathématiques, Lyon 8 (1971), 123–133. [Reviewed by VI. Sotirov in ZMG 262 (1974), 11.]
See Braddock and Epstein and Yamanaka (1971).
R. C. Braddock, George Epstein and H. Yamanaka: ‘Multiple-valued Logic Design and Applications in Binary Computers,’ Conference Record of the 1971 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1971), pp. 13–25.
Ross Thomas Brady: A 4-valued Theory of Classes and Individuals. Ph.D. dissertation: University of St. Andrews, 1971.
RT Brady : ‘The Consistency of the Axioms of Abstraction and Extensionajity in Three-valued Logic,’ Notre Dame Journal of Formal Logic12 (1971), 447–453. [Reviewed by P. C. Gilmore in MR 45 (1973), 1216-1217; by the author in ZMG 185(1970), 14.]
G. E. Ceĭtlin: ‘The Infinitely Generated Subalgebras of a Modified Post Algebra’ (Russian), Kibérntika (1971), no. 2, pp. 43–55. [Reviewed by A. Preller in MR 46 (1973), 1213; by Elliott Mendelson in ZMG 257(1973), 10.]
See Lee and Chang (1971).
See Cheung and Su (1971).
See Su and Cheung (1971).
Peter T. Cheung and Stephan Y. H. Su: ‘Algebraic Properties of Multi-valued Symmetric Switching Functions,’ Conference Record of the 1971 Symposium on the Theory and Applications of Multiple-valued Logic Design, Buffalo (1971), pp. 26–35.
Mihail Cherciu: ‘Filtres de Stone dans les trellis distributifs,’ Logique, Automatique, Informatique, edited by Grigor Constantin Moisil, Bucharest (Éditions de I’Académie de la République Socialiste de Roumanie) 1971, pp. 91–97. [Reviewed by Alonzo Church in JSL 39 (1974), 184.]
Anton Dumitriu: Logica Polivalentǎ. Second edition (in collaboration with Teodor Stihi). Bucharest (Editions Enciclopedica Romana) 1971.
See Dunn and Meyer (1971).
George Epstein: ‘On Unary Operators in Post Algebras,’ Notices of the American Mathematical Society 18 (1971), 535.
George Epstein: ‘Aspects of Post Algebras,’ Tarski Symposium ( 1971 ), Berkeley, California.
See Braddock and Epstein and Yamanaka (1971).
George Epstein: ‘Decision Algebras,’ ITT Gilfillan Publication Series 73–22, Van Nuys (1971).
V. K. Finn: ‘On the Axiomatisation of a Three-valued Logic’ (Russian), Naučno-Tehnikčeskaà Informacia, Serià 2, Informacionnye Processy i Sistemy 11 (1971), 16–20. [Reviewed by G. E. Mine in ZMG 242 (1973), 19–20.]
V. K. Finn: Axiomatization of some 3-valued propositional calculi and of their algebras. (Russian). Institute of Scientific and Technical Information ( VINITI ), Moscow, no. 4471–72.
See Fujita and Kitahashi and Tanaka (1971).
Y. Fujita, Tadahiro Kitahashi and K. Tanaka: ‘Homomorphisms of Logical Functions and Their Applications,’ Conference Record of the 1971 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1971). pp. 36–41.
Dov M. Gabbay: ‘The Decidability of the Kreisel-Putnam System,’ The Journal of Symbolic Logic 36 (1971), 369.
George Georgescu: Les Algèbres de Lukasiewicz θ-valentes,’ Logique, Automatique, Informatique, edited by Grigor Constantin Moisil, Bucharest (Éditions de I’Académie de la République Socialiste de Roumanie) 1971, pp. 99–169. [Reviewed by Alonzo Church in JSL 39 (1974), 184; by the author in ZMG 242 (1973), 35–36.]
G Georgescu: ‘Algèbres de Lukasiewicz mondaiques et polyadiques,’ Comptes Rendus Hebdomadaires des Séances de IAcadémie des Sciences, serie A 272 (1971), 416–419. [Reviewed by M. M. Richter in MR 44 (1972), 10; by the author in ZMG 248 (1973), 21.]
George Georgescu: ‘Theoreme de completitude en logique θ-valente,’ Comptes Rendus Hebdomadaires des Séances de I’Académie des Sciences, série A 272 (1971), 1076–1078.
G Georgescu: ‘The θ-valued Lukasiewicz Algebras. I,’ Revue Roumanie de Mathématiques Pures et Appliquées 16 (1971), 195–209. [Reviewed by A. Preller in MR 46 (1973), 565.]
G Georgescu: ‘Algebras de Lukasiewicz de orden θ. II,’ Revue Roumanie de Mathématiques Pures et Appliquées 16 (1971), 363–369. [Reviewed by A. Preller in MR 47 (1974), 1145–1146.]
G Georgescu: ‘n-valued Complete Lukasiewicz Algebras,’ Revue Roumanie de Mathématiques Pures et Appliquées 16 (1971), 41–50. [Reviewed by A. Tauts in MR 46 (1973), 10.]
See Georgescu and Vraciu (1971).
G Georgescu: ‘The θ-valued Lukasiewicz Algebras. Ill Duality Theory,’ Revue Roumanie de Mathematiques Pures et Appliquées 16 (1971), 1365–1390. [Reviewed by A. Preller in MR 47 (1974), 1446.]
G Georgescu: ‘Les θ-ultrafiltres validants d’algebre de Linden-baum-Tarski d’un calcul des predicats a θ-valeurs,’ Bulletin Mathématique de la Société des Sciences Mathématiques de la République Socialiste de Roumanie, n.s. 15 (1971), 9-19. [Reviewed by A. Preller in MR 48 (1974), 346; by the author in ZMG 242 (1973), 36.]
George Georgescu and Constantin Vraciu: ‘Algebre Lukasiewicz monadice,’ Studii si Cercetǎri Matematice 23 (1971), 1027–1048. [Registered in ZMG 242(1973), 35.]
R. J. Haack: ‘No Need for Nonsense,’ Australasian Journal of Philosophy 49 (1971), 71–77.
See Hamacher and Vranesic (1971).
H. C. Hamacher and Zvonko G. Vranesic: ‘Multivalued Versus Binary High Speed Multipliers,’ Conference Record of the 1971 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1971), pp. 42–53.
See Mine and Hasegawa and Shimada (1971).
Yu. L. Ivas’kiv: Principles of Multivalued Implementation Schemes ( Russian ). Kiev (Naukova Dumka) 1971.
See Smith and Vranesic and Janczewski (1971).
See Fujita and Kitahashi and Tanaka (1971).
See Kitahashi and Tanaka (1971).
Tadahiro Kitahashi and Kokichi Tanaka: ‘An Orthogonal Expansion of Multiple-valued Logical Functions,’ Conference Record of the 1971 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1971), pp. 54–61.
V. B. Kudrjavcev: ‘Concerning s-systems of a k-valued Logic’ (Russian), Doklady Akadémii Nauk SSSR 199 (1971), 20–22. [English translation in Soviet Mathematics 12 (1971), 1013-1016. [Reviewed by G. Bär in MR 44 (1972), 8; by Akira Nakamura in ZMG 233 (1972), 10.]
See Blohina and Kudrjavcev (1971).
Dharmendra Kumar: ‘Vagueness and Subjunctivity,’ Mind, n.s. 80 (1971), 127–131.
See Lee and Lee (1971).
E. T. Lee and S. C. Lee: ‘Multivalued Symmetric Functions,’ Conference Record of the 1971 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1971), pp. 62–83.
See Lee and Chang (1971).
RCT. Lee and C Chang: ‘Some Properties of Fuzzy Logic,’ Information and Control 19 (1971), 417–431. [Reviewed by A. Paz in MR 46 (1973), 1207; by S. Gottwald in ZMG 237 (1973), 22.]
See Lee and Lee (1971).
See Liebler and Roesser (1971).
M. Liebler and R. Roesser: ‘Multiple-real-valued Walsh Functions,’ Conference Record of the 1971 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1971), pp. 84–102.
Gerald J. Massey: ‘Functional Completeness in m-valued Truth Tabular Logic,’ The Journal of Symbolic Logic 36 (1971), 364.
C. G. McKay: ‘A Class of Decidable Intermediate Propositional Logics,’ The Journal of Symbolic Logic 36 (1971), 127–128. [Reviewed by A. S. Troelstra in MR 43 (1972), 1324; by the author in ZMG 216 (1971), 292.]
See Wojcik and Metze (1971).
Robert K. Meyer: ‘R-mingle and Relevant Disjunction,’ The Journal of Symbolic Logic 36 (1971), 366.
See Dunn and Meyer (1971).
See Mine and Hasegawa and Shimada (1971).
Hisashi Mine, Toshiharu Hasegawa and Ryosaku Shimada: ‘Four Ternary Arithmetic Operations,’ Systems-Computers-Controls 2 (1971), 46–54.
MIT Computing Center: LISP 1.5. Cambridge, Massachusetts (MIT Press) 1971.
Grigor Constantin Moisil: ‘Les états transitoires dans les circuits sequentiels,’ Logique, Automatique, Informatique, edited by Grigor Constantin Moisil, Bucharest (Editions de I’Académie de la République Socialiste de Roumanie) 1971, pp. 215–268. [Reviewed by Alonzo Church in JSL 37 (1972), 626.]
C. Moraga: ‘A Tri-stable Switching Circuit for Synchronized Sequential Machines,’ Conference Record of the 1971 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1971), pp. 103–111.
Edgmar Morscher: ‘A Matrix Method for Deontic Logic,’ Theory and Decision 2 (1971), 16–34. [Reviewed by Nino B. Cocchiarella in MR 46 (1973), 874; by K. Schultz in ZMG 268 (1974), 15.]
J. C. Muzio: ‘A Decision Process for 3-valued Sheffer Functions. II,’ Zeitschrift für mathematische Logik und Grundlagen der Mathematik 17 (1971), 97–114. [Reviewed by Alan Rose in MR 43 (1972), 850; by the author in ZMG 191 (1970), 287-288.]
See Nutter and Swartwout (1971).
R. S. Nutter and Richard E. Swartwout: ‘A Ternary Logic Minimization Technique,’ Conference Record of the 1971 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1971), pp. 112–123.
See Nutter and Swartwout (1971).
Hiroakira Ono: ‘On the Finite Model Property for Kripke Models,’ Publications of the Research Institute for Mathematical Sciences, Kyoto University, series A 7 (1971–72), 85–93. [Reviewed by U. Feigner in MR 47 (1974), 6.]
See Applebee and Pahi (1971).
R. Zane Parks: ‘The Mystery of Phi and Psi’ Transactions of the Charles S. Peirce Society 7 (1971), 176–177.
Eleonora Perkowska: ‘Herbrand Theorem for Theories Based on m-valued Logics,’ Bulletin de lAcadémie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 19 (1971), 893–899. [Reviewed by Alan Rose in MR 48 (1974), 15; by Tsutomu Hosoi in ZMG 243 (1973), 21.]
V. Pinkava: ‘Logical Models of Sexual Deviations,’ International Journal of Man-Machine Studies 3 (1971), 351–374.
See Preparata and Yeh (1971).
PF. P. Preparata and R. T. Yeh: ‘On a Theory of Continuously Valued Logic,’ Conference Record of the 1971 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1971), pp. 124–132.
Malcolm K. Rennie: Semantics for RKt, The Journal of Symbolic Logic 36(1971), 97–107. [Reviewed by Dov M. Gabbay in MR 44 (1972), 714; by the author in ZMG 214 (1971), 46–47.]
See Rescher and Urquhart (1971).
Rescher and Urquhart (1971). Nicholas Rescher and Alasdair Urquhart: Temporal Logic. New York (Springer-Verlag) 1971. [Reviewed by K. Schultz in ZMG 229 (1972), 21.]
See Liebler and Roesser (1971).
B. A. Romov: ‘On Uniprimitive Bases ot Maximal Post Subalgebras’ (Russian), Kibernetika (1971), no. 6, 21–30. [Reviewed by B. M. Schein in ZMG 265(1974), 18.]
Alan Rose: ‘Note sur la formalisation des calculs propositionnels polyvalents,’ Comptes Rendus Hebdomadaires des Séances de lAcadémie des Sciences, série A 272 (1971), 1689–1690. [Reviewed by Newton C. A. da Costa in MR 44 (1972), 8–9; by the author in ZMG 229 (1972), 18–19.]
Alan Rose: ‘Sur certains foncteurs à m arguments des calculs propositionnels à m valeurs,’ Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, série A 273 (1971), 273–274. [Reviewed by Tsutomu Hosoi in ZMG 229 (1972), 19.]
Richard Routley: ‘Domainless Semantics for Free Quantification and Significance Logics,’ Logique et Analyse, n.s. 14 (1971), 603–626. [Reviewed by John Bacon in ZMG 261 (1974), 19–20.]
V. L. Rvačov: ‘A Certain Extension of the Concept of R-function’ (Russian), Kibernétika (1971) no. 4, 86–92. [Reviewed by M. Stojakovic in MR 46 (1973), 873.]
Halina Savicka: ‘On Some Properties of Generalized Post Algebras,’ Bulletin de l’Académie Polonaise des Sciences, Serie des Sciences Mathematiques, Astronomiques et Physiques 19 (1971), 267–269.
Thomas W. Scharle: ‘Completeness of Many-valued Protothetic,’ The Journal of Symbolic Logic 36 (1971), 363–364.
Kenneth R. Seeskin: ‘Many-valued Logic and Future Contingencies’, Logique et Analyse, n.s. 14 (1971), 759–773; 15 (1972), 665. [Reviewed by Robert I. Goldblatt in MR 48 (1974), 16.]
Rangaswamy V. Setlur: ‘Duality in Finite Many-valued Logic,’ Notre Dame Journal of Formal Logic 12 (1971), 188–194. [Reviewed by A. Tauts in MR 44 (1972), 953; by the author in ZMG 177 (1970), 8.]
Kajetan Šeper: ‘A Decision Problem Concerning Autoduality in valued Logic,’Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 17 (1971), 251–255. [Reviewed by the author in ZMG 193 (1970), 291.]
A. MSette: On the Propositional Calculus P1,Notas e Comunçaçoes de Matematica Recife35 (1971), 14 pp. [Reviewed by Newton C. A. da Costa in ZMG 238(1973), 23.]
See Mine and Hasegawa and Shimada (1971).
See Shoesmith and Smiley (1971).
D. J. Shoesmith and T. J. Smiley: Deducibility and Many-valuedness, The Journal of Symbolic Logic 36 (1971), 610–622. [Reviewed by Haskell B. Curry in MR 46 (1973), 4–5; by Alan Rose in ZMG 253 (1973), 15.]
Jerzy Słupecki: ‘Proof of Axiomatizability of Full Many-valued Systems of Calculus of Propositions,’ Studia Logica 29 (1971), 155–168. [Reviewed by Akira Nakamura in ZMG 247 (1973), 9.]
See Shoesmith and Smiley (1971).
See Smith and Vranesic and Janczewski (1971).
Kenneth C. Smith, Zvonko G. Vranesic and L. Janczewski: ‘Circuit Implementations of Multivalued Logic,’ Conference Record of the 1971 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1971), pp. 133–139.
V. A. Sokolov: ‘Remarks on the Class of Partial Functions of Countably-valued Logic’ (Russian), Diskretynĭ Analiz 19(1971), 56–62. [Reviewed by G. Wechsung in MR 46 (1972), 873; by VI. Sotirov in ZMG 262 (1974), 11–12.]
See Cheung and Su (1971).
See Su and Cheung (1971).
Stephan Y. H. Su and Peter T. Cheung: ‘Computer-oriented Algorithm for Minimizing Multi-valued Switching Functions,’ Conference Record of the 1971 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1971), pp. 140–152.
Stanisław J. Surma: Jaskowskis Matrix Criterion for the Intuitionistic Propositional Calculus, Zeszyty Naukowe Uniwersytetu Jagiellohskego, Prace z Logiki Zeszyt6 (1971), 21–54. [Reviewed by D. Nelson in MR 45 (1973), 583.]
See Ying and Susskind (1971).
See Nutter and Swartwout (1971).
Takahashi (1971 abstract). Moto-o Takahashi: ‘On the Consistency of the Comprehension Axiom in Continuous Logic,’ The Journal of Symbolic Logic 36 (1971), 358.
See Fujita and Kitahashi and Tanaka (1971).
See Kitahashi and Tanaka (1971).
S. F. Thelliez: ‘Problems Related to Ternary Sequential Switching Networks Synthesis,’ Conference Record of the 1971 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1971), pp. 153–164.
P. S. Tien: ‘The Analysis and Synthesis of Fuzzy Switching Circuits,’ Conference Record of the 1971 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1971), pp. 165–172.
See Tokarz and Wójcicki (1971).
Atwell R. Turquette: ‘Peirce’s ø and Ψ Operators for Triadic Logic,’ The Journal of Symbolic Logic 36 (1971), 365.
See Rescher and Urquhart (1971).
See Georgescu and Vraciu (1971).
See Hamacher and Vranesic (1971).
See Ayat and Vranesic (1971).
See Smith and Vranesic and Janczewski (1971).
N. Wirth: ‘The Programming Language PASCAL,’ Acta Informatica 1 (1971), 35–63.
See Tokarz and Wojcicki (1971).
See Wojcik and Metze (1971).
A. S. Wojcik and Gemot Metze: ‘Some Relationships Between Post and Boolean Algebras,’ Conference Record of the 1971 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1971), pp. 173–182.
Peter W. Woodruff: ‘A New Approach to Possible Objects,’ The Journal of Symbolic Logic 36 (1971), 585.
See Preparata and Yeh (1971).
See Ying and Susskind (1971).
C. Ying and R. K. Susskind: ‘Building Blocks and Synthesis Techniques for the Realization of m-ary Combinational Switching Functions,’ Conference Record of the 1971 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1971), pp. 183–205.
See Zavisca and Allen (1971).
E. Zavisca and Charles M. Allen: ‘An Approach to Multiple-valued Sequential Circuit Synthesis,’ Conference Record of the 1971 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1971).
See Haga and Abe and Fukumura (1972).
See Asabe and Tezuka (1972).
See Asabe and Nakanishi and Tezuka (1972).
See Asabe and Nakanishi and Tezuka (1972a).
T. Asabe and Yoshikazu Tezuka: ‘Multilevel Balanced Code with Redundant Digits,’ Conference Record of the 1972 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1972), pp. 7–16.
See Bell and Page and Thomason (1972).
N. Bell, E. W. Page and M. G. Thomason: ‘Extension of the Boolean Difference Concept to Multi-valued Logic Systems,’ Conference Record of the 1972 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1972), pp. 17–24.
Robert Blanché: ‘Sur la trivalence,’ Logique et Analyse, n.s. 15 (1972), 569–582. [Registered in ZMG 264 (1974), 19.]
See Blochina and Kudrjavcev and Burosch (1972).
G. N. Blochina, Valeriĭ B. Kudrjavcev and G. Burosch: ‘Über gewisse Eigenschaften des Systems P,’ Mathematische Nachrichten, 54 (1972), 355–378. [Reviewed by the authors in ZMG 255 (1973), 16.]
See Bobrov and Žurkin (1972).
See Kudrjavcev and Burosch (1972).
See Blochina and Kudrjavcev and Burosch (1972).
See Su and Cheung (1972).
See Parks and Chidgey (1972).
See Patt and Cooper (1972).
See D’Amore and Matteuzzi (1972).
See De Lucca and Termini (1972).
See Ducasse and Metze (1972).
Edgar G. Ducasse and Gemot A. Metze: ‘A Generalized Equivalence Relation for Post Algebras,’ Conference Record of the 1972 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1972), pp. 25–32.
George Epstein: ‘Application of Post and Generalized Post Algebras to Finite and Infinite Valued Switching Circuits,’ Computer 5 (1972), 64–68.
George Epstein: ‘Multiple-valued Signal Processing with Limiting,’ Conference Record of the 1972 Symposium on the Theory and Applications of Multiple- valued Logic Design, State University of New York, Buffalo (1972), pp. 33–45.
See Epstein and Yamanaka (1972).
George Epstein and Hideki Yamanaka: ‘Tri-stable State Circuitry for Digital Computers,’ United States Patent 3,633,837, issued on May 16,1972.
See Foulk and Juelich (1972).
C. Foulk and O. Juelich: ‘Smooth Programs and Languages,’ Report OSU-CISRC-72–13, Department of Computer and Information Science, The Ohio State University, Columbus (1972).
Gideon Frieder: ‘Ternary Computers—Why and How,’ Proceedings of the Fifth Workshop on Microprogramming at Urbana, Illinois (1972).
See Fujita and Kitahashi and Tanaka (1972).
See Fujita and Kitahashi and Tanaka (1972a).
See Haga and Abe and Fukumura (1972).
George Georgescu: ‘Representation of Locally Finite and of Infinite Degree Polyadic Lukasiewicz Algebras’ (Roumanian), Studii si Cercetǎri Matematice 24 (1972), 1107–1117. [Reviewed by the author in ZMG 256 (1973), 20.]
See Haga and Abe and Fukumura (1972).
T. Haga, K. Abe and T. Fukumura: ‘A Problem in the Many-valued Threshold Logic and Its Solution,’ Electronics and Communications in Japan, The Transactions of the Institute of Electronics and Communication Engineers of Japan 55-D (1974), 514–522.
See Vranesic and Hamacher (1972).
See Zaharova and Jablonskiĭ (1972).
See Foulk and Juelich (1972).
Edward Keenan: ‘On Semantically Based Grammar,’ Linguistic Inquiry 3 (1972), 413 - 461.
See Mizuno and Kimura (1972).
Robert Elefter Kirk: Intermediate Logics and Equational Classes of Brou- werian Algebras. Ph.D. dissertation: Massachusetts Institute of Technology, 1972.
See Fujita and Kitahashi and Tanaka (1972).
See Fujita and Kitahashi and Tanaka (1972a).
See Koukkunen and Ojala (1972).
H. Koukkunen and L. Ojala: ‘Some Applications of Many-valued Threshold Logic in Digital Arithmetic,’ Conference Record of the 1972 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1972), pp. 46–64.
See Kudrjavcev and Burosch (1972).
See Blochina and Kudrjavcev and Burosch (1972).
Valeriĭ B. Kudrjavcev and G. Burosch: ‘Das Problem der Vollständigkeit für Boolesche Funktionen über zwei Dualmengen,’ Mathematische Nachrichten 54 (1972), 105–125. [Reviewed by the authors in ZMG 255 (1973), 16.]
Richard C. T. Lee: ‘Fuzzy Logic and the Resolution Principle,’ Journal of the Association for Computing Machines 19 (1972), 109–119. [Reviewed by Siegfried Gottwald in ZMG 245 (1973), 18.]
Vivien Leigh: ‘Self-dual Sets of Unary and Binary Connectives for the 3-valued Propositional Calculus,’ Zeitschrift für mathematische Logik und Grundlagen der Mathematik 18 (1972), 201–204. [Reviewed by John T. Kearns in ZMG 249 (1973), 10.]
Maria Maduch: ‘A Definability Criterion for the Operations in Finite Łukasiewicz’s Implicational Matrices,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 1 no. 4 (1972), 15–17.
Maria Maduch: ‘A Definability Criterion for the Operations in Finite Łukasiewicz’s Implicational Matrices,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 1 no. 4 (1972), 15–17.
Larisa L. Maksimova: ‘Prjedtablicznyje superintuicjonistskije logiki,’ Algebra i Logika 11 (1972), 558–570. [English translation (‘Pretabular Superintuitionist Logic’) in Algebra and Logic 11 (1972), 308–314.] [Reviewed by M. Rogava in MR 48 (1974), 652–653.]
I. A. Mal’cev: ‘Congruences and Automorphisms in Cells of Post Algebras’ (Russian), Algebra i Logika 11 (1972), 666–672. [English translation in Algebra and Logic 11 (1972), 369–373.] [Reviewed by B. M. Schein in ZMG 281 (1975), 34–35.]
See Malinowski and Spasowski (1972).
Grzegorz Malinowski and Maciej Spasowski: ‘Dual Counterparts of Lukasiewicz Sentential Calculi,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 1 no. 3 (1972), 2–7.
Gerald J. Massey: ‘The Modal Structure of the Prior-Rescher Family of Infinite Product Systems,’ Notre Dame Journal of Formal Logic 13 (1972), 219–223. [Reviewed by the author in ZMG 193 (1972), 292.]
Pavel Materna: ‘Intensional Semantics of Vague Constants. An Application of Tichy’s Concept of Semantics,’ Theory and Decision 2 (1972), 267–273. [Reviewed by the author in ZMG 241 (1973), 14.]
See D’Amore and Matteuzzi (1972).
See Ducasse and Metze (1972).
See Meyer and Parks (1972).
Robert K. Meyer and R. Zane Parks: ‘Independent Axioms for the Implicational Fragments of Sobocinski’s Three-valued Logic,’ Zeitschrift für mathematische Logik und Grundlagen der Mathematik 18 (1972), 291–295. [Reviewed by Tsutomu Hosoi in ZMG 261 (1974), 20.].
See Mizumoto and Toyoda and Tanaka (1972).
M. Mizumoto, J. Toyoda and Kikochi Tanaka: ‘General Formulation of Formal Grammars,’ Information Sciences 4 (1972), 87.
See Mizuno and Kimura (1972).
Grigor Constantin Moisil: ‘Les ensembles flous et la logique à trois valeurs,’ printed in Moisil (1972), pp. 99–103.
Grigor Constantin Moisil: ‘Exemples de propositions a plusieurs valeurs,’ printed in Moisil (1972), pp. 149–156.
Grigor Constantin Moisil: ‘La logique des concepts nuancés,’ printed in Moisil (1972), pp. 157–163.
Grigor Constantin Moisil: ‘Le paradoxe du chauve et les logiques à plusieurs valeurs,’ printed in Moisil (1972), pp. 186–188.
Grigor Constantin Moisil: ‘Les axiomes des algebres de Lukasiewicz n-valentes,’ printed in Moisil (1972), pp. 298–310.
Grigor Constantin Moisil: ‘Sur les algèbres de Lukasiewicz θ-valentes,’ printed in Moisil (1972), pp. 311–324.
Grigor Constantin Moisil: ‘Sur le calcul des predicats dans la logique a trois valeurs,’ printed in Moisil (1972), pp. 442–454.
Luiz F. T. Monteiro: ‘Algèbre du calcul propositionnel trivalent de Heyting,’ Fundamenta Mathematicae 74 (1972), 99–109. [Reviewed by Newton C. A. da Costa in MR 45 (1973), 904; by A. I. Arruda in ZMG 248 (1973), 22.]
Claudio Moraga: ‘Non-linear Ternary Threshold Logic,’ Conference Record of the 1972 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1972), pp. 65–74.
R. Mori: ‘On an Extended Threshold Logic as a Unit Cell of Array Logics,’ AFIPS Conference Proceedings, 1972 FJCC, Montvale, New Jersey (AFIPS Press), pp. 353–366.
Nobuyoshi Motohashi: ‘Some Investigations on Many Valued Logics,’ Proceedings of the Japan Academy 48 (1972), 59–61. [Reviewed by the author in ZMG 252 (1973), 10–11.]
J. C. Muzio: ‘On the t-closure of Martin,’ Mathematische Annalen 195 no. 5 (1972), 143–148. [Reviewed by Arto Salomaa in MR 45 (1973), 583–584; by the author in ZMG 216 (1971), 287.]
See Asabe and Nakanishi and Tezuka (1972).
See Asabe and Nakanishi and Tezuka (1972a).
Nguen Cat-Ho:’ ‘Generalized Algebras of Post and Their Applications to Infinitely Many-valued Logics with Infinitely Long Formulas,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 1 no. 1 (1972), 4–12.
Hirosato Nomura: ‘Learning of the Multi-threshold Function and Its Application to the Synthesis of Logical Function,’ Electronics and Communications in Japan, The Transactions of the Institute of Electronics and Communication Engineers of Japan 55-D (1972), 194–210.
Hirosato Nomura: ‘Some Properties of Monotonicity on Many-valued Logic and Their Applications to the Analysis of Many-valued Threshold Functions,’ Electronics and Communications in Japan, The Transactions of the Institute of Electronics and Communication Engineers of Japan 55-D (1972), 245–252.
R. S. Nutter: ‘The Algebraic Simplification of a Ternary Full Adder,’ Conference Record of the 1972 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1972), pp. 75–82.
See Koukkunen and Ojala(1972).
See Ojala and Yrjola (1972).
L. Ojala and P. Yrjola: ‘Design of A/D Converters for Binary Coded Ternary Systems,’ Conference Record of the 1972 Symposium on the Theory and Applications of Mutiple-valued Logic Design, State University of New York, Buffalo (1972), pp. 83–94.
Ono (1972). Hiroakira Ono: ‘Some Results on the Intermediate Logics,’ Publications of the Research Institute for the Mathematical Sciences, Kyoto University, Series A vol. 8 (1972), pp. 117–130. [Reviewed by Tsutomu Hosoi in ZMG 253 (1973), 17.]
M. Orsic: ‘Multiple-valued Universal Logic Modules,’ Conference Record of the 1972 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1972), pp. 95–99.
See Bell and Page and Thomason (1972).
Biswambhar Pahi: ‘Maximal Full Matrices,’ Notre Dame Journal of Formal Logic 13 (1972), 142–144. [Reviewed by Alan Rose in MR 46 (1973), 1520; by the author in ZMG 188(1970), 12.]
Biswambhar Pahi: ‘A Method for Proving the Non-existence of Finite Characteristic Models for the Implicational Calculi,’ Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 18 (1972), 169–172. [Reviewed by B. Lercher in MR 46 (1973), 4; by M. D. Gladstone in ZMG 264 (1974), 22.]
R. Zane Parks: ‘A Note on R-Mingle and Sobocinski’s Three-valued Logic,’ Notre Dame Journal of Formal Logic 13 (1972), 227–228. [Reviewed by J. Michael Dunn in MR 45 (1973), 902.] Parks (1972a). See Parks and Chidgey (1972).
R. Zane Parks: ‘Dependence of Some Axioms of Rose,’ Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 18 (1972), 189–192. [Reviewed by Alan Rose in MR 48(1974), 15;by Alan Rose in ZMG 253(1973), 15.]
See Meyer and Parks (1972).
R. Zane Parks and John R. Chidgey: ‘Necessity and Ticket Entailment,’ Notre Dame Journal of Formal Logic 13 (1972), 224–226. [Reviewed by Robert K. Meyer in MR 45 (1972), 1216; by the authors in ZMG 212 (1971), 14.]
See Patt and Cooper (1972).
Y. N. Patt and G. A. Cooper: ‘Towards a Characterization of Logically Complete Switching Functions in k-valued Logic,’ Conference Record of the 1972 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1972), pp. 100–103.
Eleonora Perkowska: ‘On Algorithmic m-valued Logic,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw, 1, no. 3 (1972), 28–37.
Eleonora Perkowska: ‘On Algorithmic m-valued Logics,’ Bulletin de. l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 20 (1972), 717–719. [Reviewed by W. Vollmerhaus in MR 48 (1974), 16.]
See Preparata and Yeh (1972).
F. P. Preparata and R. T. Yeh: ‘Continuously Valued Logic,’ Journal of Computer and Systems Sciences 6 (1972), 397–418. [Reviewed by Arto Salomaa in MR 47 (1968), 1438; by M. Mizumoto in ZMG 262 (1974), 12.]
Helena Rasiowa: ‘The Craig Interpolation Theorem for m-valued Predicate Calculi,’ Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 20 (1972), 341–346. [Reviewed by Tsutomu Hosoi in ZMG 243(1973), 20.]
Helena Rasiowa : ‘On Logical Structure of Programs,’ Bulletin de l’Académie Polonaise des Sciences, Série des Mathématiques, Astronomiques et Physiques, 20 (1972), 319–324. [Reviewed by J. D. Rutledge in MR 48 (1974), 16.]
David C. Rine: ‘A Proposed Multi-valued Extension to ALGOL 68,’ Conference Record of the 1972 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1972), pp. 104–125.
David C. Rine: ‘A Proposed Multi-valued Extension to ALGOL 68,’ Kybernetes 2 (1972), paper 52, pp. 1–5.
R. Roesser: ‘Multivalued Logic Techniques for Optical Computers,’Conference Record of the 1972 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1972), pp. 126–135.
Alan Rose: ‘Locally Full N0-valued Propositional Calculi,’ Zeitschrif für mathematische Logik und Grundlagen der Mathematik 18 (1972), 217–226. [Reviewed by Arto Salomaa in MR 46 (1973), 1522; by the author in ZMG 253 (1973), 16.]
I. Rowe: ‘The Generation of Gaussian-distributed Pseudorandom Noise Sequences from Multiple-valued Logic,’ Conference Record of the 1972 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1972), pp. 136–152.
Zygmunt Saloni: ‘Gentzen Rules for the m-valued Logic,’ Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 20 (1972), 819–826. [Reviewed by John Corcoran in MR 47 (1974), 4; by Akira Nakamura in ZMG 255 (1973), 17.]
See Su and Sarris (1972).
Halina Savicka: ‘On Some Properties of Post Algebras with Countable Chain of Constants,’ Colloquium Mathematicum 25 (1972), 201–209. [Reviewed by Tadeusz Traczyk in ZMG 269 (1974), 26.]
J. T. Schwartz: On Programming an Interim Report on the SETL Project, Courant Institute of Mathematical Sciences, New York (Algorithms Press) 1972.
See Sebastian and Vranesic (1972).
P. Sebastian and Zvonko G. Vranesic: ‘Ternary Logic in Arithmetic Units,’ Conference Record of the 1972 Symposium on the Theory and Applications of Multiple-valued Logic Design, Buffalo (1972), pp. 153–159.
L. Sintonen: ‘On the Realization of Functions in H-valued Logic’ IEEE Transactions on Computers C-21 (1972), 610–612.
Jerzy Slupecki: A Criterion of Fullness of Many-valued Systems of Propositional Logic, Studia Logica 30 (1972), 153–157. [An English translation of Siupecki (1939b).] [Reviewed by Arto Salomaa in MR 47 (1974), 1438.]
W. Smith: ‘Some Algebraic Properties and Minimization Techniques for Multi-valued Lattice Logics,’ Conference Record of the 1972 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1972), pp. 163–174.
See Malinowski and Spasowski (1972).
James LeRoy Stiver: Presupposition, Implication, and Necessitation: A Critique of and Alternative to van Fraassens Presuppositional Logic. Ph.D. dissertation: University of North Carolina at Chapel Hill, 1972. Ann Arbor (University Microfilms) 1973.
M. Stojaković: ‘On the Exponential Properties of the Implication,’ Publications de I’Institut Mathematiques Beograd, n.s. 13 (27) (1972), 121‘125. [Reviewed by Ayda I. Arruda in ZMG 253 (1973), 13.]
See Su and Sarris (1972).
See Su and Cheung (1972).
Stephan Y. H. Su and Peter T. Cheung: ‘Computer Minimization of Multivalued Switching Functions,’ IEEE Transactions on Computers C-21 (1972), 995–1003.
Stephan Y. H. Su and Achilles A. Sarris: ‘The Relationship Between Multivalued Switching Algebra and Boolean Algebra under Different Definitions of Complement,’ IEEE Transactions on Computers C-21 (1972), 479–485. [Reviewed by H. Rohleder in ZMG 241 (1973), 13.]
Wojciech Suchoń: ‘On Non-equivalence of Two Definitions of the Algebras of Lukasiewicz,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 1 no. 1 (1972), 35–37.
Wojciech Suchoń: ‘Non-equivalence of Certain Definitions of Infinite Łukasiewicz Algebras,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wrocław 1 no. 2 (1972), 10–16.
Wojciech Suchoń: ‘Inequivalence des deux definitions des algèbres de Łukasiewicz,’ Zeszyty Naukowe Uniwersytetu Jagiellonskiego, Prace z Logiki Zeszyty 7(1972), 31–34. [Reviewed by M. Stojakovic in MR 47 (1974), 1130.]
Richard E. Swartwout: ‘The Combination of Soft and Multi-valued Algebra,’ Conference Record of the 1972 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1972), pp. 175–180.
See Fujita and Kitahashi and Tanaka (1972).
See Fujita and Kitahashi and Tanaka (1972a).
See Mizumoto and Toyoda and Tanaka (1972).
A. A. Tarasov: ‘Certain Properties of the Essential Function of k-valued Logic’ (Russian), Diskretnyĭ Analiz 20 (1972), 66–78. [Reviewed by Arto Salomaa in MR 47(1974), 1438; by VI. Sotirovand ZMG262(1974), 11.]
See De Lucca and Termini (1972).
See Asabe and Tezuka (1972).
See Asabe and Nakanishi and Tezuka (1972).
See Asabe and Nakanishi and Tezuka (1972a).
See Bell and Page and Thomason (1972).
Marek Tokarz: ‘On Invariant Systems and Structural Completeness of Łukasiewicz’ Logics,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 1 no. 1 (1972), 63–68.
Marek Tokarz: ‘Invariant Systems of Lukasiewicz Calculi,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 1 no. 3 (1972), 44–48.
Marek Tokarz: ‘On Structural Completeness of Łukasiewicz’s Logics,’ Studia Logica 30 (1972), 53–61. [Reviewed by David C. Rine in MR 47 (1974), 834.]
Zivko Tošić: ‘Analytical Representations of m-valued Logical Functions Over the Ring of Integers modulo m’ Publications de la Faculté d’Electrotechnique de l’Univérsite à Belgrade, Série Matheématiques et Physique 410–411 (1972), 1–36. [Reviewed by VI. Sotirov in ZMG 262 (1974), 11.]
See Mizumoto and Toyoda and Tanaka (1972).
Atwell R. Turquette: ‘Generalized Modal Sets,’ Zeitschrift fr mathematische Logik und Grundlagen der Mathematik 18 (1972), 261–266. [Reviewed by Arto Salomaa in MR 46 (1973), 1522; by the author in ZMG 245 (1973), 18–19.]
Dolph E. Ulrich: ‘Some Results Concerning Finite Models for Sentential Calculi,’ Notre Dame Journal of Formal Logic 13 (1972), 363–368. [Reviewed by J. Waszkiewicz in MR 46 (1973), 1520–1521; by the author in ZMG 212 (1971), 16–17.]
Dimitǎr I. Vakarelov: ‘Notes on the Semantics of the Łukasiewicz’s 3-valued Logic’ (Russian), Comptes Rendus de l’Acadǎmie Bulgare des Sciences 25 (1972), 1467–1469. [Reviewed by VI. Sotirov in ZMG 247 (1973), 8.]
Arnold Vander Nat: ‘Axiomatic, Sequenzen-kalkul, and Subordinate Proof Versions of S9,’ Notre Dame Journal of Formal Logic 13 (1972), 309–322. [Reviewed by the author in ZMG 231 (1972), 11.]
See Sebastian and Vranesic (1972).
See Vranesic and Hamacher (1972).
Zvonko G. Vranesic and V. C. Hamacher: ‘Ternary Logic in Parallel Multipliers,’ The Computer Journal 15 (1972), 254–258.
A. S. Wojcick: ‘The Minimization of Higher-order Boolean Functions,’ Conference Record of the 1972 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1972), pp. 181–192.
Ryszard Wójcicki: ‘Some Properties of Strongly Finite Propositional Calculi,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 1 no. 1 (1972), 69–71.
Ryszard Wójcicki: ‘Some Results Concerning Many-valued Lukasiewicz Calculi,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 1 no. 3 (1972), 49–51.
Ryszard Wójcicki: ‘The Degree of Completeness of the Finitely-valued Propositional Calculi,’ Zeszyty Naukowe Uniwersytetu Jagiellońskiego, Prace z Logiki Zeszyt 7 (1972), 77–85. [Reviewed by K. Inoue in MR 47 (1974), 1438.]
Andrzej Wrónski: ‘An Algorithm for Finding Finite Axiomatizations of Finite Intermediate Logics,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wrocław 1 no. 1 (1972), 38–44.
Andrzej Wrónski: ‘An Algorithm for Finding Finite Axiomatizations of Finite Intermediate Logics,’ Zeszyty Naukowe Uniwersytetu Jagiellonskiego, Prace z Logiki Zeszyt 7 (1972), 87–92. [Reviewed by M. Stojaković in MR 47 (1974), 1444.]
See Epstein and Yamanaka (1972).
See Preparata and Yeh (1972).
See Ojrala and Yrjola (1972).
E. Ju. Zaharova: ‘Realization of a Function from Pk by Formulae (k ≥ 3)’ (Russian), Matematičeskie Zametki 11 (1972), 99–108. [English translation in Mathematical Notes 11 (1972), 62–69.] [Reviewed by J. Kunztmann in MR 45 (1973), 584; by VI. Sotirov in ZMG 268 (1974), 13.]
See Zaharova and Jablonskiĭ (1972).
E. Zavisca: ‘Multiple-valued Combinational Function Synthesis Using a Single Gate Type,’ Conference Record of the 1972 Symposium on the Theory and Applications of Multiple-valued Logic Design, State University of New York, Buffalo (1972), pp. 193–201.
See Bobrov and Zurkin (1972).
See Aibara and Takamatsu and Murakami (1973).
T. Aibara, Y. Takamatsu and K. Murakami: ‘Multiple-valued Variable-threshold Logic and Its Application to the Realization of the Set of Boolean Functions,’ Conference Record of the 1973 International Symposium on Multiple-valued Logic, University of Toronto, Toronto (1973), pp. 8–15.
See Mattrey and Givone and Allen (1973).
Charles M. Allen: ‘Coordinate Representation and Structural Invariants for Many-valued Switching Functions,’ Conference Record of the 1973 International Symposium on Multiple-valued Logic, University of Toronto, Toronto (1973), pp. 16–28.
See Bellman and Giertz (1973).
Paweł Bielak: ‘The Degree of Completeness of Gödel’s Logic,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 2 (1973), 134–138.
See Moraga and Bittner (1973).
See Blochina and Kudrjavcev and Burosch (1973).
See Blochina and Kudrjavcev and Burosch (1973a).
G. N. Blochina, Valeriĭ B. Kudrjavcev and G. Burosch: ‘Ein Vollständigkeitskriterium bis auf eine gewisse Äquivalenzrelation fur eine verallgemeinerte Postsche Algebra,’ Publicationes Mathematicae 20 (1973), 141–152. [Reviewed by Valeriĭ B. Kudrjavcev in ZMG 282 (1975), 17.]
G. N. Blochina, Valeriĭ B. Kudrjavcev and G. Burosch: ‘Über verallgemeinerte Postsche Algebren,’ Mitteilungen der Mathematischen Gesellschaft der Deutschen Demokratischen Republik (1973), no. 2/3 (1973), 5–11. [Reviewed by the authors in ZMG 275 (1975), 25.]
See Bobrov and Koc (1973).
A. E. Bobrov and V. S. Koc: ‘Minimization of Functions of a Many-valued Logic Which are Defined Through the Maximum, the Minimum and All One-place Functions’ (Russian), Avtomatika i Vyčislitel’nà Tehnika 4 (1973), 36–37. [Registered in ZMG 258 (1974), 14.]
See Brady and Routley (1973).
Ross T. Brady and Richard Routley: ‘Don’t Care was Made to Care,’ Australian Journal of Philosophy 51 (1973), 211–225.
See Breuer and Epstein (1973).
M. A. Breuer and George Epstein: ‘The Smallest Many-valued Logic for Treatment of Complemented and Uncomplemented Error Signal,’ Conference Record of the 1973 International Symposium on Multiple-valued Logic, University of Toronto, Toronto (1973), pp. 29–37.
See Blochina and Kudrjavcev and Burosch (1973).
See Blochina and Kudrjavcev and Burosch (1973a).
See Cabanes and Pichat (1973).
A. Cabanes and E. Pichat: ‘Minimal Representation of a Function of Several Finite Variables—Applications to Data Bank,’ Conference Record of the 1973 International Symposium on Multiple-valued Logic, University of Toronto, Toronto (1973), pp. 237–238.
See Frieder and Fong and Chao (1973).
P. F. Curran: ‘Obtaining Self-testing Logic Through the Application of Threshold Logic and an A. C. Logic Code,’ Conference Record of the 1973 International Symposium on Multiple-valued Logic, University of Toronto, Toronto (1973), pp. 38–48.
See D’Amore and Matteuzzi (1973).
Bruno D’Amore and Maurizio L. M. Matteuzzi: ‘Considerazioni strutturali sugli insiemi indecidibili,’ Bollettino della Unione Matematica Italiana, Serie IV 8 (1973), 537–546. [Reviewed by D. Rosenzweig in ZMG 282 (1975), 17–18.]
J. R. Donaldson: ‘Structured Programming,’ Datamation 19, no. 12 (1973), 52–54.
Jean Drabbe: ‘Sur la représentation des algebres de Post,’ Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, série A 276 (1973), 337–338. [Reviewed by J. S. Johnson in ZMG 255 (1973), 34.]
See Druzeta and Sedra (1973).
A. Druzeta and A. S. Sedra: ‘Multi-threshold Circuits in the Design of Multi-state Storage Elements,’ Conference Record of the 1973 International Symposium on Multiple-valued Logic, University of Toronto, Toronto (1973), pp. 49–58.
See DuCasse and Metze (1973).
Edgar G. DuCasse and Gemot A. Metze: ‘Hazard Realizations of Boolean Functions Using Post Functions,’ Conference Record of the 1973 International Symposium on Multiple-valued Logic, University of Toronto, Toronto (1973), pp. 59–67.
Michael A. E. Dummett: Frege: Philosophy of Language. London (Duckworth) 1973. [Reviewed by Leslie Stevenson in The Philosophical Quarterly 24, 349–359.]
See Dzik and Wronski (1973).
Wojciech Dzik and Andrzej Wronski: ‘Structural Completeness of Godel’s and Dummett’s Propositional Calculi, Studia Logica 32 (1973), 69–75.
G. Englebretsen: ‘Suggested Truth-tables for a Three-valued Sentential Logic,’ International Logic Review no. 4 (1973), 255–257.
George Epstein: ‘An Equational Axiomatization for the Disjoint System of Post Algebras,’ IEEE Transactions on Computers C-21 (1973), 422–423. [Reviewed by the author in ZMG 252 (1973), 22.]
George Epstein: ‘Comments on “The Relationship Between Multivalued Switching Algebra and Boolean Algebra under Different Definitions of Complement’,” IEEE Transactions on Computers C-22 (1973), 864.
See Breuer and Epstein (1973).
N. M. Ermolaeva: ‘On Logics Which Are Similar to Hao Wang’s Calculus’ (Russian), Naučno-Tehniceskaà Informacià, Serià 2 (1973) no. 8, pp. 34–37. [Reviewed by VI. Sotirov in ZMG 273 (1974), 8.]
See Frieder and Fong and Chao (1973).
Marc Fort: ‘Calcul des prédicats trivalent,’ Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, série A 276 (1973), 1257–1260.
Marc Fort: ‘Deduction en logique trivalente,’ Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, série A 277 (1973), 823–825. [Reviewed by Alasdair Urquhart in MR 48 (1974), 652; by Tsutomu Hosoi in ZMG 281 (1975), 20.]
See Frieder and Fong and Chao (1973).
Gideon Frieder, A. Fong and C. Y. Chao: ‘A Balanced Ternary Computer,’ Conference Record of the 1973 International Symposium on Multiple-valued Logic, University of Toronto, Toronto (1973), pp. 68–88.
See Mine and Fujita (1973).
See Bellman and Giertz (1973).
See Mattrey and Givone and Allen (1973).
See Goddard and Routley (1973).
Leonard Goddard and Richard Routley: The Logic of Significance and Context. Volume 1. Edinburgh (Scottish Academic Press) 1973 and New York (Halsted Press) 1973. [Reviewed by H. A. Lewis in Philosophical Books 16 (1975), 15–17.]
V. V. Gorlov: ‘On Congruences in Closed Post Classes’ (Russian), Matematičeskie Zametki 13 (1973), 725–734. [Reviewed by Elliott Mendelson in ZMG 261 (1974), 28.]
Siegfried Gottwald: ‘Über Einbettungen in Zahlenbereiche einer mehrwertigen Mengenlehre,’ Mathematische Nachrichten 56 (1973), 43–46. [Reviewed by the author in ZMG 263 (1974), 20–21.]
See Green and Kelsch (1973).
D. H. Green and R. G. Kelsch: ‘Nonlinear Ternary Feedback Shift Registers,’ Computer Journal 16 (1973), 360–367. [Reviewed by the authors in ZMG 269 (1974), 547.]
R. S. Grigolia: ‘Algebraiczeskij analiz n-znachnych logiczeskich sistem Łukasiewicza-Tarkskogo,’ Proceedings of Tbilisi University, A 6–7 (149-150), Mathematical and Natural Sciences, Tbilisi (1973), pp. 121–132.
Grize (1973). Jean-Blaise Grize: Logique moderne. Fasc. III: Implications-modalités, logiques polyvalentes, logique combinatoire, ontologie et méréologie de Leśniewski. Mathematiques et sciences de l–homme. XXII. Paris (Mouton/Gauthier-Villars) 1973. 104 pp. [Reviewed by Phan Dinh Dieu in ZMG 279 (1974), 15.]
D. Hampel: ‘Multifunction Threshold Gates,’ IEEE Transactions on Computers C-22(1973), 197–203.
See Hampel and Micheel and Prost (1973).
D. Hampel, L. Micheel and K. Prost: ‘Threshold Logic Multiplier,’ NAECON ’73 Record (1973), pp. 288–295.
Hans G. Herzberger: ‘Dimensions of Truth,’ Journal of Philosophical Logic 2 (1973), 535–556.
See Imamiya and Noguchi and Oizumi (1973).
A. Imamiya, S. Noguchi and J. Oizumi: ‘Ternary Threshold Logic Networks Realizing Three-valued Multithreshold Function,’ Electronics and Communications in Japan, The Transactions of the Institute of Electronics and Communication Engineers of Japan 65-D (1973), 333–340.
See Irving and Nagle (1973).
T. A. Irving and H. T. Nagle, Jr.: ‘An Approach to Multi-valued Sequential Logic,’ Conference Record of the 1973 International Symposium on Multiple-valued Logic, University of Toronto, Toronto (1973), pp. 89–105.
L. J. Janczewski: ‘Geometrical Approach to Multivalued Logic Function Synthesis,’ Conference Record of the 1973 International Symposium on Multiple-valued Logic, University of Toronto, Toronto (1973), pp. 106–118.
A. Kaniel: ‘Trilogic, a Three-level Logic System Provides Greater Memory Density,’ EDN April 1973, pp. 80–83.
See Green and Kelsch (1973).
See Bobrov and Koc (1973).
See Blochina and Kudrjavcev and Burosch (1973).
See Blochina and Kudrjavcev and Burosch (1973a).
Valeriĭ B. Kudrjavcev: ‘On Properties of S-systems of Functions of k-valued Logic’ (Russian), Elektronische Informationsverarbeitung und Kybernetik 9 (1973), 81–105. [Reviewed by the author in ZMG 275 (1974), 25.]
George Lakoff: ‘Hedges: A Study in Meaning Criteria and the Logic of Fuzzy Concepts,’ Journal of Philosophical Logic 2 (1973), 458-508. [Reviewed by E. Melis in ZMG 271 (1974), 29–30.]
H. El Lozy: ‘On the Generation of All the One Variable Functions in m-valued Logic,’ Conference Record of the 1973 International Symposium on Multiple-valued Logic, University of Toronto, Toronto (1973), pp. 119–126.
Grzegorz Malinowski: ‘MVk Algebras,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 2 (1973), 185–191.
See D’Amore and Matteuzzi (1973).
See Mattrey and Givone and Allen (1973).
R. F. Mattrey, Donald D. Givone and Charles M. Allen: ‘Applying Multiple-valued Algebra Concepts to Neural Modeling,’ Conference Record of the 1973 International Symposium on Multiple-valued Logic, University of Toronto, Toronto (1973), pp. 127–136.
Maydole (1973). Robert Edwin Maydole: Many-valued Logic as a Basis for Set Theory. Ph.D. dissertation: Boston University, 1973. Ann Arbor (University Microfilms) 1973.
See DuCasse and Metze (1973).
See Hampel and Micheel and Prost (1973).
See Muzio and Miller (1973).
See Mine and Fujita (1973).
Hisashi Mine and S. Fujita: ‘Decomposition of Multi-valued Switching Functions and Its Application to Threshold Networks,’ Electronics and Communications in Japan, The Transactions of the Institute of Electronics and Communication Engineers of Japan 56-D (1973), 691–725.
Toru Miyama: ‘Another Proof of Gill’s Interpolation Theorem,’ Science Reports of the Tokyo Kyoiku Daigaku, section A, 12 (1973), 59–65. [Reviewed by John Thomas Canty in ZMG 279 (1974), 16.]
See Popov and Skibenko and Mokljak (1973).
See Moraga and Bittner (1973).
Claudio Moraga and A. Bittner: A Ternary Positional Automatic Control System,’ Conference Record of the 1973 International Symposium on Multiple-valued Logic, University of Toronto, Toronto (1973), pp. 137–155.
See Aibara and Takamatsu and Murakami (1973).
J. C. Muzio: ‘The Cosubstitution Condition,’ Notre Dame Journal of Formal Logic 14 (1973), 87–94. [Reviewed by Charles G. Morgan in MR 48 (1974), 652; by the author in ZMG 197 (1971), 274.]
J. C. Muzio: ‘Some Large Classes of n-valued Sheffer Functions,’ Proceedings of the Cambridge Philosophical Association 74 (1973), 201–211. [Reviewed by Alan Rose in ZMG 266 (1974), 14; by R. L. Graham in MR 48 (1974), 1017.]
See Muzio and Miller (1973).
J. C. Muzio and D. M. Miller: ‘Decomposition of Ternary Switching Functions,’ Conference Record of the 1973 International Symposium on Multiple-valued Logic, University of Toronto, Toronto (1973), pp. 156–165.
See Irving and Nagle (1973).
Nguen Cat-Ho: ‘Generalized Post Algebras and Their Application to Some Infinitary Many-valued Logics,’ Dissertationes Mathematicae 107 (1973). 72 pp. [Reviewed by Tsutomu Hosoi in ZMG 281 (1975), 34.]
See Imamiya and Noguchi and Oizumi (1973).
Hirosato Nomura: ‘Characteristic Vectors of Many-valued Logical Functions and Their Applications to the Realization of Many-valued Threshold Functions,’ Electronics and Communications in Japan, The Transactions of the Institute of Electronics and Communication Engineers of Japan 56-D (1973), 17–24.
See Imamiya and Noguchi and Oizumi (1973).
See Ojala and Yrjola (1973).
L. Ojala and P. Yrjola: ‘Design of Incremental Signal Processing Devices Using Binary Coded Ternary Logic,’ Conference Record of the 1973 International Symposium on Multiple-valued Logic, University of Toronto, Toronto (1973), pp. 228–236.
M. Orsic: ‘Incremental Curve Generation Using Multiple-valued Logic,’ Conference Record of the 1973 International Symposium on Multiple-valued Logic, University of Toronto, Toronto (1973), pp. 166–172.
Biswambhar Pahi: ‘Necessity and Some Non-modal Propositional Calculi,’ Notre Dame Journal of Formal Logic 14 (1973), 401–404. [Reviewed by the author in ZMG 258 (1974), 14.]
Giinther Patzig: ‘Aristotle, Łukasiewicz and the Origins of Many-valued Logic,’ Logic, Methodology and Philosophy of Science IV, Proceedings of the Fourth International Congress of Logic, Methodology and Philosophy of Science, Bucharest, 1971, edited by Patrick Suppes, Leon Henkin, Athanase Juja and Grigor Constantin Moisil, Amsterdam (North-Holland Publishing Company) 1973, pp. 921–929.
See Cabanes and Pichat (1973).
See Popov and Skibenko and Mokljak (1973).
V. A. Popov, I. T. Skibenko and N. G. Mokljak: ‘On the Number of Types of Systems of k-valued Logical Functions’ (Russian), Kibérnétika (1973) no. 6, pp. 18–27. [Reviewed by VI. Sotirov in ZMG 281 (1975), 20.]
V. N. Porus: ‘On an Analytic Manner of Presentation of Many-valued Matrices’ (Russian), Teorià logičeskogo vyvoda, edited by P. V. Tavanec, Moscow (Izdatel’stvo “Nauka”) 1973, pp. 253–258. [Registered in ZMG 263 (1974), 15.]
R. Pöschel: ‘Postsche Algebren von Funktionen iiber einer Familie endlicher Mengen,’ Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 19 (1973), 37–74. [Reviewed by B. M. Schein in ZMG 274 (1974), 34–35.]
R. Pöschel: ‘Postsche Algebren von Funktionen über einer Familie endlicher Mengen,’ Mitteilungen der Mathematischen Gesellschaft der Deutschen Demokratischen Republik (1973), no. 2/3, pp. 111–118. [Reviewed by R. S. Pierce in ZMG 273 (1974), 18.]
See Hampel and Micheel and Prost (1973).
Helena Rasiowa: ‘On a Logical Structure of Mixed-valued Programs and the ω+-valued Algorithmic Logic, Bulletin de l’Académie Polonaise de Sciences, Série des Sciences Mathematiques, Astronomiques et Physiques 21 (1973), 451–458.
Helena Rasiowa: ‘On Generalized Post Algebras of Order ω+ and ω+-valued Predicate Calculi,’ Bulletin de l’Académie Polonaise de Sciences, Série des Sciences Mathematiques, Astronomiques et Physiques 21 (1973), 209–219. [Reviewed by A. Tauts in MR 47 (1974), 834; by John T. Canty in ZMG 261 (1974), 20–21.]
David C. Rine: ‘Basic Concepts of Multiple-discrete Valued Logic and Decision Theory,’ Information and Control 22 (1973), 320–352. [Reviewed by the author in ZMG 255 (1973), 15–16.]
David C. Rine: ‘Conditional and Post Algebra Expressions,’ Conference Record of the 1973 International Symposium on Multiple-valued Logic, University of Toronto, Toronto (1973), pp. 173–191.
David C. Rine: Conditional and Post Algebra Expressions, Conference Record of the 1973 International Symposium on Multiple-valued Logic, University of Toronto, Toronto (1973), pp. 173–191.
Alan Rose: ‘Sur certains ‘Erweiterter Aussagenkalkiil’ dont le seul quantificateur primitif constitue son dual,’ Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, série A 277 (1973), 559–561. [Reviewed by Alasdair Urquhart in MR 48 (1974), 652; by the author in ZMG 266 (1974), 14.]
Alan Rose: ‘Note sur l’“Erweiterter Aussagenkalkul” ayant un seul quantificateur primitif,’ Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, série A 277 (1973), 641–643. [Reviewed by Alasdair Urquhart in MR 48 (1974), 652; by the author in ZMG 266 (1974), 15.]
See Goddard and Routley (1973).
See Brady and Routley (1973).
Imre Ruzsa: ‘Prior-type Modal Logic I,’ Periodica Mathematica Hungarica 4 (1973), 51–69. [Reviewed by the author in ZMG 264 (1974), 22.]
Zygmunt Saloni: ‘The Sequent Gentzen System for m-valued Logic,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 2 (1973), 30–37.
Edward Schuh: ‘Many-valued Logics and the Lewis Paradoxes,’ Notre Dame Journal of Formal Logic 14 (1973), 250–252. [Reviewed by Alan Rose in MR 48 (1974), 16.]
Dana Scott: ‘Background to Formalization,’ Truth, Syntax and Modality, Proceedings of the Temple University Conference on Alternative Semantics, edited by Hugues Leblanc, Amsterdam (North-Holland Publishing Company) 1973, pp. 244–273.
See Druzeta and Sedra (1973).
Michel Serfati: ‘Sur les polynômes postiens,’ Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, série A 276 (1973), 677–679.
D. A. Sheppard: ‘An Application of Many-valued Logic to Fault Detection,’ Conference Record of the 1973 International Symposium on Multiple-valued Logic, University of Toronto, Toronto (1973), pp. 192–204.
See Shoesmith and Smiley (1973 abstract).
D. J. Shoesmith and Timothy J. Smiley: ‘Proofs with Multiple Conclusions,’ The Journal of Symbolic Logic 38 (1973), 547.
See Popov and Skibenko and Mokljak (1973).
See Shoesmith and Smiley (1973 abstract).
Wojciech Suchoń: ‘Application of the Theory of Logical Matrices in the Independence Proofs,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 2 (1973), 121–126.
Wojciech Suchoń: ‘On Defining Moisil’s Functors in n-valued Lukasiewicz Propositional Logic,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 2 (1973), 195–196.
Stanislaw J. Surma: ‘A Method of the Construction of Łukasiewiczian Algebras and Its Application to Gentzen-style-characterization of Łukasiewiczian Logics,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wrocław 2 (1973), 139–143.
Stanislaw J. Surma: ‘Jaśkowski’s Matrix Criterion for the Intuitionistic Propositional Calculus,’ Studies in the History of Mathematical Logic, Wrocfaw-Warszawa-Krakow-Gdansk (Ossolineum) 1973, pp. 87–121.
Stanislaw J. Surma: ‘Nota w sprawie twierdzeń o dedukcji nie wprost ważnych w skończenie wielwartościonych rachunkach zdan Łukasiewicza’ (A note on indirect deduction theorems valid in Łukasiewicz’s finitely-valued propositional calculi), Studia Logica 31 (1973), 139–143. [Reviewed by the author in ZMG 267 (1974), 16–17.]
Władsyław Szczech: ‘Axiomatizability of Finite Matrices,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 2 (1973), 118–120.
See Aibara and Takamatsu and Murakami (1973).
S. F. Thelliez: Introduction à l’etude des structures ternaires de commutation. Paris (Gordon and Breach) 1973.
D. Tsichritzis: ‘Approximate Logic,’ Conference Record of the 1973 International Symposium on Multiple-valued Logic, University of Toronto, Toronto (1973), pp. 205–216.
Alasdair Ian Fenton Urquhart: The Semantics of Entailment. Ph.D. dissertation: University of Pittsburgh, 1973. Ann Arbor (University Microfilms) 1973.
Alasdair Urquhart: ‘An Interpretation of Many-valued Logic,’ Zeitschrift für mathematische Logik und Grundlagen der Mathematik 19 (1973), 111–114. [Reviewed by David C. Rine in MR 47 (1974), 274–275.]
A. S. Wojcick: ‘Multi-valued Asynchronous Circuits,’ Conference Record of the 1973 International Symposium on Multiple-valued Logic, University of Toronto, Toronto (1973), pp. 217–227.
Ryszard Wójcicki: ‘On Matrix Representations of Consequence Operations of Łukasiewicz Sentential Calculi,’ Zeitschrift für mathematische Logik und Grundlagen der Mathematik 19 (1970), 239–247. [Reviewed by M. Stojakovic in MR 48 (1974), 340.]
Czesław Wojtkiewicz: ‘Axiomatization of Finite n-algebras by the Method of T. Hosoi,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wrocław 2 (1973), 144–148.
See Dzik and Wronski (1973).
See Ojala and Yrjola (1973).
G Abraham: ‘Variable Radix Multistable Integrated Circuits,’ Computer 7 no. 9 (1974), 42–59.
See Takamatsu and Murakami and Aibara (1974).
John G. Anderson: ‘A Note on Finite Intermediate Logics,’ Notre Dame Journal of Formal Logic 15 (1974), 149–155. [Reviewed by the author in ZMG 236 (1972), 23.]
See Birk and Farmer (1974).
J. E. Birk and D. E. Farmer: ‘Design of Multivalued Combinational Switching Circuits Using Principally Binary Components,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 115–134.
Rainer Bodendiek: ‘Über das Repräsentantenproblem in der k-wertigen Logik,’ Mathematisch-Physikalische Semesterberichte, neue Folge 21 (1974), 46–66. [Reviewed by L. Kaluznin in ZMG 285 (1975), 12–13.]
See Ostapko and Cain and Hong (1974).
John R. Chidgey: On Entailment. A Consideration of Some of the Formal Properties of the Anderson and Belnap System E of Entailment and of Related Systems. Ph.D. dissertation: Victoria University of Manchester, 1974.
See Das and Chuang (1974).
John P. Cleave: ‘The Notion of Logical Consequence in the Logic of Inexact Predicates,’ Zeitschrift für mathematische Logik und Grundlagen der Mathematik 20 (1974), 307–324.
Kenneth W. Collier: ‘A Result of Extending Bochvars 3-valued Logic,’ Notre Dame Journal of Formal Logic 15 (1974), 344–346. [Reviewed by the author in ZMG 236 (1972), 20.]
B. Dahn: ‘Kripke-style Semantics for Some Many-valued Propositional Calculi,’ Bulletin de lAcadémie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 22 (1974), 99–102. [Reviewed by VI. Sotirov in ZMG 281 (1975), 20–21.]
See Das and Chuang (1974).
Santanu Das and Henry Y. H. Chuang: ‘On the Design of Reliable and Fail-safe, Digital Systems Using Multiple-valued Logic,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgan- town (1974), pp. 183–206.
Robert L. Davis: ‘Uniform Shift Networks,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 225–260.
See Vranesic and Smith and Druzeta (1974).
Edgar D. DuCasse: ‘Synthesizing Operators Defined on a Class of Decision Algebras from Post Functions,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 79–94.
Se Su and DuCasse (1974).
See Epstein and Frieder and Rine (1974).
See Epstein and Horn (1974).
See Epstein and Horn (1974a).
See Epstein and Frieder and Rine (1974a).
George Epstein, Gideon Frieder and David C. Rine: ‘The Development of Multiple-valued Logic as Related to Computer Science,’ Computer 1 no. 9 (1974), 20–32.
George Epstein, Gideon Frieder and David C. Rine: ‘A Summary of the Development of Multiple-valued Logic as Related to Computer Science,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 303–314.
George Epstein and Alfred Horn: ‘Propositional Calculi Based on Subresiduation,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 3 no. 1 (1974), 41–42.
George Epstein and Alfred Horn: ‘Finite Limitations on a Propositional Calculus for Affirmation and Negation,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 3 no. 1 (1974), 43–44.
See Etiemble and Israel (1974).
Daniel Etiemble and Michel Israel: ‘A New Concept for Ternary Logic Elements,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 437–456.
John Evenden: ‘Generalized Logic,’ Notre Dame Journal of Formal Logic 15 (1974), 35–44. [Reviewed by the author in ZMG 202 (1971), 7–8.]
See Birk and Farmer (1974).
Victor K. Finn: ‘A Criteria of Functional Completeness for B3,’ Studia Logica (1914), 121–126.
See Epstein and Frieder and Rine (1974).
See Epstein and Frieder and Rine (1974a).
See Goldberg and Leblanc and Weaver (1974).
H. Goldberg, H Leblanc and G Weaver: ‘A Strong Completeness Theorem for 3-valued Logic,’ Notre Dame Journal of Formal Logic 15 (1974), 325–330. [Reviewed by the authors in ZMG 232 (1972), 13.]
See Graczynska and Wroński (1974).
Ena Graczyńska and Andrzej Wroński: ‘On the Construction of Matrices Strongly Adequate for the Pre-finite Logic,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wrocław 3 no. 2 (1974), 15–18
See Moraga and Gutierrez (1974).
See Gutierrez and Moraga (1974).
Jorge Gutierrez and Claudio Moraga: ‘Multithreshold Periodic Ternary Threshold Logic,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 413–422.
See Ostapko and Cain and Hong (1974).
See Epstein and Horn (1974).
See Epstein and Horn (1974a).
See Etiemble and Israel (1974).
See Mouftah and Jordan (1974).
Abraham Kandel: ‘Fuzzy Representation, CNF Minimization and Their Application to Fuzzy Transmission Structures,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 361–380.
See Kang and Shen (1974).
Andy N. C. Kang and Stewart N. T. Shen: ‘On the Boolean Functions Over 4-element Boolean Algebra,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 381–392.
Lauri Karttunen: ‘Presuppositions of Compound Sentences,’ Linguistic Inquiry 4 (1973), 169–193.
See Kodandapani and Setlur (1974).
K. L. Kodandapani and Rangaswamy V. Setlur: ‘Multivalued Algebraic Generalizations of Reed-Muller Canonical Forms,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 505–527.
Ladislav Kohout: ‘The Pinkava Many-valued Complete Logic Systems and Their Applications in the Design of Many-valued Switching Circuits,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 261–284.
Valeriĭ B. Kudrjavcev: ‘On the Functional System PΣ’ (Russian), Žurnal Vyčislitel’noi Matematiki i Matematičeskoi Fiziki14 (1974), 198–208. [Reviewed by the author in ZMG 282 (1975), 547–548.]
See Lam and Vranesic (1974).
C. I. Lam and Zvonko G. Vranesic: ‘Multiple-valued Pseudorandom Number Generators,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 45–58.
See Goldberg and Leblanc and Weaver (1974).
A. Lempicki: ‘A New Look at Optical Logic,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgan-town (1974), pp. 207–208.
John Loader: ‘A Method for Finding Formulae Corresponding to First Order Universal Decision Elements in m-valued Logic,’ Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 20 (1974), 1–12.
Grzegorz Malinowski: ‘S-algebras for n-valued Sentential Calculi of Łukasiewicz,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 3 no. 2 (1974), 25–30.
Grzegorz Malinowski: ‘S-algebras and the Degrees of Maximality for Three and Four Valued Logics of Łukasiewicz,’ Studia Logica 33 (1974), 359–370.
Grzegorz Malinowski: ‘Degrees of Maximality of Some Łukasiewicz Logics,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 3 no. 3 /4 (1974), 27–33.
See Malinowski and Spasowski (1974).
Grzegorz Malinowski and Maciej Spasowski: ‘Dual Counterparts of Łukasiewicz Sentential Calculi,’ Studia Logica 33 (1974), 153–162.
Antoine Marquetty: ‘Generalized Many-valued Logics,’ The Journal of Symbolic Logic 39 (1974), 419.
See McDonald and Singh (1974).
J. F. McDonald and Inder Singh: ‘Extensions of the Weiner—Smith Algorithm for m-ary Synchronous Sequential Circuit Design,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 135–154.
R. S. Michalski: ‘Variable-valued Logic,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgan-town (1974), pp. 323–340.
See Miller and Muzio (1974).
D. M. Miller and J. C. Muzio: ‘A Ternary Cellular Array,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 469–482.
See Nazarala and Moraga (1974).
See Moraga and Gutierrez (1974).
See Gutierrez and Moraga (1974).
Claudio Moraga and Jorge Gutierrez: ‘Critical Races in Fundamental Mode Ternary Sequential Machines,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 401–412.
Charles G. Morgan: ‘Resolution in Many-valued Logics,’ The Journal of Symbolic Logic 39 (1974), 199–200.
ohn M. Motil: ‘A Multiple-valued Digital “Saturation” System,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 483–492.
See Mouftah and Jordan (1974).
H. T. Mouftah and I. B. Jordan: ‘Integrated Circuits for Ternary Logic,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 285–302.
See Takamatsu and Murakami and Aibara (1974).
See Miller and Muzio (1974).
See Shiva and Nagle (1974).
See Nazarala and Moraga (1974).
Jorge Nazarala and Claudio Moraga: ‘Minimal Realization of Ternary Threshold Functions,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 347–361.
See Ostapko and Cain and Hong (1974).
Daniel L. Ostapko, Robert G. Cain and Se June Hong: ‘A Practical Approach to Two-level Minimization of Multivalued Logic,’ Proceedings of the International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 168–182.
Biswambhar Pahi: ‘On the Non-existence of Finite Characteristic Models for Some Classes of Implicational Calculi,’ Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 20 (1974), 113–119.
See Porębska and Wroǹski (1974).
M. T. Porębska and Andrzej Wroǹski: ‘A Characterization of the Fragments of the Intuitionistic Propositional Logic,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 3 no. 2 (1974), 19–20.
Dhiraj K. Pradhan: ‘A Multivalued Switch Algebra Based on Finite Fields,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 95–112.
Tadeusz Prucnal: ‘Interpretations of Classical Sentential Calculus in Nonclassical Implicational Calculi,’ Studia Logica 33 (1974), 59–64.
Juliusz Reichbach: ‘Partitions in Decidability and Generalized Models with Many Valued Codes,’ Proceedings of the 1974 International Symposium on Multiple- valued Logic, West Virginia University, Morgantown (1974), pp. 113–114.
David C. Rine: ‘There is More to Boolean Algebra Than You Would Have Thought,’ Reports on Mathematical Logic no. 2 (1974), pp. 25–37.
See Epstein and Frieder and Rine (1974).
David C. Rine: ‘Multiple-valued Logic and Computer Sciences in the 20th Century,’ Computer 1 no. 9 (1974), 18–19.
See Epstein and Frieder and Rine (1974a).
Ivo G. Rosenberg: ‘Completeness, Closed Classes and Relations in Multiple-valued Logics,’ Proceedings of the 1974 International Symposium on Multiple- valued Logic, West Virginia University, Morgantown (1974), pp. 1–26.
Arto Salomaa: ‘Some Remarks Concerning Many-valued Propositional Logics,’ Logical Theory and Semantic Analysis. Essays Dedicated to Stig Kanger on His Fiftieth Birthday, edited by Sören Stenlund, Dordrecht ( D. Reidel Publishing Company ) 1974, pp. 15–22.
Kenneth A. Seeskin: ‘Some Remarks on Truth and Bivalence,’ Logique et Analyse, n.s. 17 (1974), 101–109.
See Kodandapani and Setlur (1974).
See Kang and Shen (1974).
See Shiva and Nagle (1974).
S. G. Shiva and H. T. Nagle, Jr.: ‘On Multiple-valued Memory Elements,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 209–224.
See McDonald and Singh (1974).
See Vranesic and Smith (1974).
See Vranesic and Smith and Druzeta (1974).
William R. Smith, III: ‘Minimization of Multivalued Functions,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 27–44.
See Malinowski and Spasowski (1974).
Udo J. Strasillo: ‘A Multiple-valued Memory System Using Capacitor Storage,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 457–468.
See Su and DuCasse (1974).
Stephan Y. H. Su and Edgar G. DuCasse: ‘Application of a Multi-valued Gate to the Design of Fault-tolerant Digital Systems,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 423–436.
Wojciech Suchoń: ‘La méthode de Smullyan de construire le calcul n-valent de Łukasiewicz avec implication et négation,’ Reports on Mathematical Logic no. 2 (1974), 37–42. [Reviewed by the author in ZMG 284 (1975), 16.]
Suchoń (1974a). Wojciech Suchoń: ‘Définition des foncteurs modaux de Moisil dans le calcul n-valent des propositions de Łukasiewicz avec implication et negation,’ Reports on Mathematical Logic no. 2 (1974), pp. 43–47. [Reviewed by the author in ZMG 284(1975), 16–17.]
Wojciech Suchoń: ‘Matrix Lukasiewicz Algebras,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wrocław 3 no. 3 /4 (1974), 9–16.
SJ. Surma: ‘A Method of the Construction of Finite Łukasiewiczian Algebras and Its Application to a Gentzen-stile Characterization of Finite Logics,’’ Reports on Mathematical Logic no. 2 (1974), 49–54. [Reviewed by the author in ZMG 282(1975), 16.]
See Surma and Wroński and Zachorowski (1974).
Stanisław J. Surma: ‘An Algorithm for Axiomatizing Every Finite Logic,’ Reports on Mathematical Logic no. 3 (1974), 57–61.
Stanislaw J. Surma: ‘An Algorithm for Axiomatizing Every Finite Logic,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 315–327.
Stanisław J. Surma, Andrzej Wroǹski and S. Zachorowski: ‘On Jaśkowski-type Semantics for the Intuitionistic Propositional Logic,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 3 no. 2 (1974), 6–10.
See Takamatsu and Murakami and Aibara (1974).
Y. Takamatsu, K. Murakami and T. Aibara: ‘Isobaricity for a Set of Multiple-valued Logical Functions and Its Application to the Synthesis of Multithreshold Elements,’ Electronics and Communications in Japan, The Transactions of the Institute of Electronics and Communication Engineers of Japan 57-D (1974), 534–541.
Marek Tokarz: ‘Binary Functions Definable in Implicational Gödel Algebras,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 3 no. 1 (1974), 22–24.
Marek Tokarz: ‘A Method of Axiomatization of Lukasiewicz Logics,’ Bulletin of the Section of Logic, Polish Academy of Sciences, Institute of Philosophy and Sociology, Wroclaw 3 no. 2 (1974), 21–24.
Marek Tokar.: ‘A New Proof of ‘Topographic’ Theorem on Łukasiewicz’s Logics,’ Reports on Mathematical Logic no. 3 (1974), 63–66.
Marek Tokarz: ‘Invariant Systems of Lukasiewicz Calculi,’ Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 20 (1974), 221–228.
Dolph E. Ulrich: ‘Subsystems of S6, and a Conjecture of Prior’s,’ The Journal of Symbolic Logic 39 (1974), 200.
Bas C. van Fraassen: ‘The Labyrinth of Quantum Logics,’ Logical and Epistemological Studies in Contemporary Physics, edited by Robert S. Cohen and Marx W. Wartofsky, Dordrecht (D. Reidel Publishing Company) 1974, pp. 224–254.
See Vranesic and Smith (1974).
See Lam and Vranesic (1974).
See Vranesic and Smith and Druzeta (1974).
Zvonko G. Vranesic and Kenneth C. Smith: ‘Engineering Aspects of Multi-valued Logic Systems,’ Computer 7 no. 9 (1974), 34–41.
Zvonko G. Vranesic, Kenneth C. Smith and A. Druzeta: ‘Electronic Implementation of Multi-valued Logic Networks,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 59–78.
Syozo Watanabe: ‘Many-valued Prosthetics,’ The Journal of Symbolic Logic 39 (1974), 409–410.
See Goldberg and Leblanc and Weaver (1974).
T. C. Wesselkamper: ‘A Note on UDEs in an n-valued Logic,’ Notre Dame Journal of Formal Logic 15 (1974), 485–486. [Reviewed by the author in ZMG 272 (1974), 21.]
T. C. Wesselkamper: ‘Some Completeness Results for Abelian Semigroups and Groups,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 393–400.
Bruce White: ‘A Note on Natural Deduction in Many-valued Logic,’ Notre Dame Journal of Formal Logic 15 (1974), 167–168. [Reviewed by the author in ZMG 246 (1973), 16.]
J. E. Wiredu: ‘A Remark on a Certain Consequence of Connexive Logic for Zermelo’s Set Theory,’ Studia Logica 33 (1974), 127–130.
Anthony S. Wójcick: ‘Multi-valued Asynchronous Sequential Circuits,’ Proceedings of the 1974 International Symposium on Multiple-valued Logic, West Virginia University, Morgantown (1974), pp. 155–167.
Ryszard Wójcicki: ‘Note on Deducibility and Many-valuedness,’ The Journal of Symbolic Logic 39 (1974), 563–566.
Ryszard Wójcicki: ‘Matrix Approach in Methodology of Sentential Calculi,’ Studia Logica 32 (1974), 7–39.
Ryszard Wójcicki: ‘The Logics Stronger Than Łukasiewicz’s Three Valued Sentential Calculus. The Notion of Degree of Maximality Versus the Notion of Degree of Completeness,’ Studia Logica 33 (1974), 201–214.
Ryszard Wójcicki: ‘Degree of Maximality Versus Degree of Completeness,’ Bulletin of the Section of Logic, Polish Academy of Sciences, The Institute of Philosophy and Sociology, Wrocław 3 no. 2 (1974), 41–43.
Peter W. Woodruff: ‘A Constructive Lukasiewiczian Logic,’ The Journal of Symbolic Logic 39 (1974), 390.
Peter W. Woodruff: ‘A Modal Interpretation of Three-valued Logic,’ Journal of Philosophical Logic 3 (1974), 433–440.
John Woods: The Logic of Fiction. A Philosophical Sounding of Deviant Logics. The Hague (Mouton) 1974.
Andrzej Wroński: ‘On Equivalentiai Fragments of Some Intermediate Logics,’ Bulletin of the Section of Logic, Polish Academy of Sciences, The Institute of Philosophy and Sociology, Wroclaw 3 no. 2 (1974), 11–14.
See Surma and Wroński and Zachorowski (1974).
See Graczynska and Wroński (1974).
See Porębska and Wroński (1974).
Andrzej Wroński: ‘On Cardinalities of Matrices Strongly Adequate for the Intuitionistic Propositional Logic,’ Reports on Mathematical Logic, no. 3 (1974), 67–72.
See Surma and Wronski and Zachorowski (1974).
See Anderson and Belnap (1975).
Alan Ross Anderson and Nuel D. Belnap, Jr.: Entailment. The Logic of Relevance and Necessity. Volume 1. Princeton (Princeton University Press) 1975.
See Anderson and Belnap (1975).
See DuCasse and Metze (1975).
Edgar G. DuCasse and Gemot A. Metze: “Comments on ‘The Relationship Between Multivalued Switching Algebra and Boolean Algebra Under Different Definitions of Complement’,” IEEE Transactions on Computers C-24 (1975), 220.
Susan Haack: Deviant Logic. New York (Cambridge University Press) 1975.
See DuCasse and Metze (1975).
See Su and Sarris (1975).
See Su and Sarris (1975).
Stephan Y. H. Su and Achilles A. Sarris: ‘Authors’ Reply,’ IEEE Transactions on Computers C-24 (1975), 220–221.
T. C. Wesselkamper: ‘A Sole Sufficient Operator,’Notre Dame Journal of Formal Logic 16 (1975), 86–88. [Reviewed by the author in ZMG 245 (1973), 18.]
Robert J. Ackermann: ‘Matrix Satisfiability and Axiomatization,’ Notre Dame Journal of Formal Logic. [Reviewed by the author in ZMG 184 (1970), 280.]
See Anderson and Belnap and Meyer (197 +).
Alan Ross Anderson, Nuel D. Belnap, Jr. and Robert K. Meyer: Entailment. The Logic of Relevance and Necessity. Volume 2. Princeton (Princeton University Press).
R. Beazer: ‘Post-like Algebras and Injective Stone Algebras,’ Algebra Universalis.
R. Beazer: ‘Compactness in Abstractions of Post Algebras,’ Notre Dame Journal of Formal Logic. [Reviewed by the author in ZMG 283 (1975), 25.]
See Humberstone and Bell (197 +).
See Anderson and Belnap and Meyer (197 +).
Leon Birnbaum: ‘Tripolar Algebra and Logic,’ Notre Dame Journal of Formal Logic. [Reviewed by the author in ZMG 253 (1973), 15.]
Ross T. Brady: ‘Significance Logics,’ Notre Dame Journal of Formal Logic. [Reviewed by the author in ZMG 226 (1972), 16.]
Ross T. Brady: ‘Significance Range Theory,’ Notre Dame Journal of Formal Logic.
E. William Chapin, Jr.: ‘Set-valued Set Theory. I,’ Notre Dame Journal of Formal Logic. [Reviewed by the author in ZMG 236 (1972), 34.]
E. William Chapin, Jr.: ‘Set-valued Set Theory. II,’ Notre Dame Journal of Formal Logic. [Reviewed by the author in ZMG 236 (1972), 34.]
See Druzeta and Vranesic and Sedra (197 +).
A. Druzeta, Zvonko G. Vranesic and A. Sedra: ‘Application of Multi-threshold Elements in the Realization of Many-valued Logic Networks,’ IEEE Transactions on Computers.
George Epstein: ‘The Extension of FSR’s to FSCR’s for p ≥ 2.
See Epstein and Horn (197 +).
See Epstein and Horn (197 +a).
See Epstein and Horn (197 +b).
George Epstein: Decisive Implication.
George Epstein: From Fixed to Mixed Radix.
George Epstein and Alfred Horn: ‘P-algebras, an Abstraction From Post Algebras,’ Algebra Universalis.
George Epstein and Alfred Horn: ‘Chain Based Lattices,’ Pacific Journal of Mathematics.
George Epstein and Alfred Horn: ‘Logics Which are Characterized by Subresiduated Lattices,’ Zeitschrift fur mathematische Logik und Grundlagen der Mathematik.
John Evenden: ‘Generalized Logic. II,’ Notre Dame Journal of Formal Logic. [Reviewed by the author in ZMG 283 (1975), 16.]
George Georgescu: ‘The θ-valued Lukasiewicz Algebras. IV.’
George Georgescu: ‘Monadic and Polyadic Lukasiewicz Algebras,’
See Georgescu and Vraciu (197 +).
George Georgescu and Constantin Vraciu: ‘La dualite des algèbres de Post θ-valentes,’ Journal of Algebra.
Hans G. Herzberger: ‘Setting Russell Free.’
See Epstein and Horn (197 +).
See Epstein and Horn (197 +a).
See Epstein and Horn (197 +b).
See Hosoi and Ono (197 +).
Tsutomu Hosoi and Hiroakira Ono: ‘Intermediate Propositional Logics (A Survey),’ Journal ofTsuda College.
See Humberstone and Bell (197+).
I. L. Humberstone and J. M. Bell: ‘Two Systems of Presupposition Logic,’ Notre Dame Journal of Formal Logic. [Reviewed by the authors in ZMG 254 (1973), 16 and in ZMG 283 (1975), 17.]s
Dieter Klaua: ‘Zur Arithmetik mehrwertiger Zahlen,’ Mathematische Nachrichten. [Reviewed by the author in ZMG 251 (1973), 31.]
Hugues Leblanc: ‘A Strong Completeness Theorem for 3-valued Logic. II,’ Notre Dame Journal of Formal Logic. [Reviewed by the author in ZMG 283 (1975), 16.]
Robert P. McArthur: ‘Three-valued Free Tense Logic,’ Notre Dame Journal of Formal Logic. [Reviewed by the author in ZMG 245 (1973), 20.]
Robert K. Meyer: Coherence Revisited.
See Anderson and Belnap and Meyer (197 +).
Charles G. Morgan: ‘Local and Global Operators and Many-valued Modal Logics,’ Notre Dame Journal of Formal Logic. [Reviewed by the author in ZMG 283(1975), 17.]
See Hosoi and Ono (197 +).
Richard L. Purtill: ‘Paradox-free Deontic Logics,’ Notre Dame Journal of Formal Logic.
Helena Rasiowa: ‘Post Algebras as a Semantic Foundation of Many-valued Logic,’ MAA Studies in Mathematics.
Richard Routley: ‘Universal Semantics?,’ Journal of Philosophical Logic.
Richard Routley: ‘No Rational Sentential Logic Has a Finite Characteristic Matrix,’ Logique et Analyse.
Dana Scott: ‘Completeness and Axiomatizability in Many-valued Logic,’ Tarski Symposium, Princeton (American Mathematical Society).
See Druzeta and Vranesic and Sedra (197 +).
Paul Vincent Spade: ‘An Alternative to Brian Skyrms Approach to the Liar,’ Notre Dame Journal of Formal Logic. [Reviewed by the author in ZMG 258 (1974), 10-11.]
Wojciech Suchon: ‘Matrix Łukasiewiczian Algebras,’ Reports on Mathematical Logic.
Saburo Tamura: ‘A Sequential Formulation for Sobociński’s Three-valued Logic,’ Proceedings of the International Conference on Relevance Logics. In Memoriam: Alan Ross Anderson, edited by Kenneth W. Collier and Robert G. Wolf.
Dolph E. Ulrich: ‘The Nonexistence of Finite Characteristic Matrices for Subsystems of R1,’ Proceedings of the International Conference on Relevance Logics. In Memoriam: Alan Ross Anderson, edited by Kenneth W. Collier and Robert G. Wolf.
See Georgescu and Vraciu (197 +).
See Druzeta and Vranesic and Sedra (197 +).
Alan C. Wilde: ‘Generalizations of the Distributive and Associative Laws,’ Notre Dame Journal of Formal Logic. [Reviewed by the author in ZMG 245 (1973), 17.]
Alan C. Wilde: ‘A Substitution Property,’ Notre Dame Journal of Formal Logic. [Reviewed by the author in ZMG 254 (1973), 15.]
R. L. Wilson: ‘On Some Modal Logics Related to the Ł-modal System,’ Notre Dame Journal of Formal Logic. [Reviewed by the author in ZMG 214 (1971), 10]
Abdugaliev, V. A
Abdugaliev, V. A., (1967) ‘Normal Forms of k-valued Logic’ (Russian).
Abdugaliev, V. A., (1969) ‘On the Question of the Representation of Functions of a k-valued Logic by a Normal Form. I’ (Russian).
Abdugaliev, V. A., (1970) ‘On the Question of the Representation of Functions of a k-valued Logic by a Normal Form. II. Selection of the Simple Parts of a Pair (A, B) When (LA, LB) = 0 and L a ≠ Lb. Construction of the Reduced Disjunctive Normal Form’ (Russian).
Abe, K
Abe, K., (1972) ‘A Problem in the Many-valued Threshold Logic and Its Solution’ (With T. Haga and T. Fukumura).
Abian, Alexander
Abian, A., (1967) ‘Some Generalized Sheffer Functions’ (with Samuel La Macchia). (1967a) ‘Examples of Generalized Sheffer Functions’ (with Samuel La Macchia).
Abraham, George
Abraham, G., (1974) ‘Variable Radix Multistable Integrated Circuits’.
Ackermann, Robert J
Abraham, R. J., (1967) An Introduction to Many-valued Logics. ‘Matrix Satisfiability and Axiomatization’.
Adži-Veli, Ja. H
Adži-Veli, J. H., (1966) ‘An Application of the Blake-Poreckii Method to the Minimization of the Functions of a Many-valued Logic’ (Russian).
Again, J
Again, J., (1960) ‘Setun’ (Russian).
Aibara, T
Aibara, T., (1973) ‘Multiple-valued Variable-Threshold Threshold Logic and Its Application to the Realization of the Set of Boolean Functions’ (with Y. Takamatsu and K. Murakami).
Aibara, T., (1974) ‘Isobaricity for a Set of Multiple-valued Logical Functions and Its Application to the Synthesis of Multithreshold Elements’ (with Y. Takamatsu and K. Murakami).
Aĭzenberg, N. N
Aĭzenberg, N. N., (1965) ‘Representation of a Sum mod m in a Class of Normal Forms of Functions of ra-valued Logic’ (Russian).
Aĭzenberg, N. N., (1968) Polinomialnye predstavlenia funktsii K-značnoi logiki polinomam nad koltsam klassov vyčetov po mod K (The Representations of Functions of k-valued Logic by Polynomials mod k).
Alekseev, V. B
Alekseev, V. B., (1969) ‘The Simple Bases of a k-valued Logic’ (Russian).
Alekseev, V. B., (1971) ‘Simple Bases and Simple Functions in k-valued Logic’ (Russian).
Alekseev, V. B., (1971a) ‘On the Number of Simple Bases in a k-valued Logic’ (Russian).
Alexander, W
Alexander, W., (1960) ‘An Introduction to the Ternary Code Number System’ (with D. J. Morris).
Allen, Charles M
Allen, C. M., (1968) ‘A Minimization Technique for the Multiple-valued Logic Systems’ (with Donald D. Givone).
Allen, C. M., (1971) ‘An Approach to Multiple-valued Sequential Circuit Synthesis’ (with E. Zavisca).
Allen, C. M., (1973) ‘Applying Multiple-valued Algebra Concepts to Neural Modeling’ (with R. F. Mattrey and Donald D. Givone).
Allen, C. M., (1973a) ‘Coordinate Representation and Structural Invariants for Many-valued Switching Functions’.
Aloisio, Pantaleo
Aloisio, P., (1971) ‘Alcune osservazioni sull definibilita di operatori finiti e sulla decidibilità al- goritmica della completezza fuzionale e deduttiva delle logiche a più valori’.
Anderson, Alan Ross
Anderson, A. R., (1954) ‘On the Interpretation of a Modal System of Łukasiewicz’.
Anderson, A. R., (1975) Entailment. The Logic of Relevance and Necessity. Volume 1 (with Nuel D. Belnap, Jr.).
Anderson, A. R., (197 +) Entailment. The Logic of Relevance and Necessity. Volume 2 (with Nuel D. Belnap, Jr. and Robert K. Meyer).
Anderson, D. J
Anderson, D. J., (1971) ‘A Magnetic Ternary Device’ (with D. L. Dietmeyer). Anderson, John G.
Anderson, D. J., (1971) ‘The Degree of Completeness of Dummett’s LC and Thomas’ LCn’
Anderson, D. J., (1974) ‘A Note on Finite Intermediate Logics’.
Angell, Richard Bradshaw
Angell, R. B., (1971 abstract) ‘Connexive Implication, Modal Logic and Subjunctive Conditionals’.
Applebee, Ralph C
Applebee, R. C., (1971) ‘Some Results on Generalized Truth-tables’ (with Biswambhar Pahi).
Arango, H
Arango, H., (1964) ‘On the Analysis and Synthesis of 3-valued Digital Systems’ (with J. Santos).
Arango, H., (1965) ‘A Ternary Storage Element Using a Conventional Ferrite Core’ (with J. Santos and M. Pascual).
Arango, H., (1966) ‘Threshold Implementation of Ternary Systems’ (with M. Pascual, M. E. Valentinuzzi and J. Santos).
Arango, H., (1970) ‘A Cyclic Algebra for the Synthesis of Ternary Digital Systems’ (with J. Santos and M. Pascual and G. Roing).
Asabe, T
Asabe, T., (1972) ‘Multilevel Balanced Code with Redundant Digits’ (with Yohikazu Tezuka).
Asabe, T., (1972a) ‘On Cyclic Multilevel Codes’ (with H. Nakanishi and Yoshikazu Tezuka).
Asabe, T., (1972b) ‘Spectral Density of Cyclic Multilevel Code’ (with H. Nakanishi and Yoshikazu Tezuka).
Asenjo, F. G
Asenjo, F. G. (1966) ‘A Calculus of Antinomies’.
Ataka, H
Ataka, H., (1972) ‘On the Definition of Ternary Threshold Functions’.
Ataka, H., (1972a) ‘On the Unateness of Ternary Functions’.
Ayat, K. A
Ayat, K. A., (1971) ‘Application of Multi-valued Cyclic Codes’ (with Zvonko G. Vranesic).
Backus, J. W
Backus, J. W., (1955) ‘The Syntax and Semantics of the Proposed International Algebraic Language of the Zurich ACM-GAMM Conference’.
Bădele, I
Bădele, I., (1969) ‘Sur les extensions des algèbres de Lukasiewicz’ (with Vlad Boicescu).
Badillo, M. C
Badillo, M. C., (1961) ‘Many-valued Logics of Systems’ (Spanish).
Bailey, J. S
Bailey, J. S., (1962) ‘Single Function Shifting Counters’ (with George Epstein).
Bailey, J. S., (1966) ‘Generalized Single-ended Counters’.
Baĭramov, R. A
Baĭramov, R. A., (1967) ‘K voprosu o funktsionalnoi polnosti v mnogoznachinykh logikakh’ (On the Question of Functional Completeness in Many-valued Logic).
Baĭramov, R. A., (1967a) ‘O funktsiiakh Sefferi v mnogoznachinoi loguike’ (Sheffer Functions in Many- valued Logic).
Baĭramov, R. A., (1967b) ‘Ob odnoi serii predpolnykh klassov v k-znachinoi logike’ (A Series of Pre- complete Classes of k-valued Logic).
Baĭramov, R. A., (1968) ‘Stabilizatory predikatov i funktsii Sheffera v konecinoznačino logike’ (Predicate Stabilizers and Sheffer Functions in a Finite-valued Logic).
Baĭramov, R. A., (1968a) ‘Letter to the Editors’ (Russian).
Baĭramov, R. A., (1969) ‘The Predicative Characterizability of Subalgebras of Many-valued Logic’ (Russian).
Baĭramov, R. A., (1969a) ‘Fundamentally Criteria for Permutation Groups and Transformation Semigroups’ (Russian).
Baĭramov, R. A., (1971) ‘The Classes of Multiplace Functions of Finite Sets’ (Russian).
Baĭramov, R. A., (1972) ‘Derivation of Criteria for the Basis Group of Substituting Groups and Subgroups of Images’ (Russian).
Bakarelov, D. I
Bakarelov, D. I., (1972) ‘Notes on the Semantics of Three-valued Lukasiewicz Logic’ (Russian).
Bałuka, Edward
Bałuka, E., (1965) ‘On Verification of the Expressions of Many-valued Sentential Calculi. I.’
Barton, Giuliano
Barton, G., (1971) ‘Algebre di Post monadiche’.
Beazer, R
Beazer, R., (197 +) ‘Post-like Algebras and Injective Stone Algebras’.
Beazer, R., (197 +a) ‘Compactness in Abstractions of Post Algebras’.
Becchio, Denise
Becchio, D., (1972) ‘Nouvelle démonstration de la complétude du système de Wajsberg axiomatisant la logique trivalente de Lukasiewicz.’
Bell, J. M
Bell, J. M., (197 +) ‘Two Systems of Presupposition Logic’ (with I. L. Humberstone).
Bell, N
Bell, N., (1972) ‘Extension of the Boolean Difference Concept to Multi-valued Logic Systems’ (with E. W. Page and M. G. Thomason).
Bellman, Richard E
Bellman, R. E., (1970) ‘Decision-making in a Fuzzy Environment’ (with L. A. Zadeh).
Bellman, R. E., (1973) ‘On the Analytic Formalism of the Theory of Fuzzy Sets’ (with Magnus Giertz).
Belluce, Lawrence Peter
Belluce, L. P., (1963) ‘A Weak Completeness Theorem for Infinite-valued First-order Logic’ (with Chen Chung Chang).
Belluce, L. P., (1964) ‘Further Results on Infinite Valued Predicate Logic’.
Belluce, L. P., (1964a) The Theory of Infinite-valued Predicate Logic.
Belnap, Nuel D., Jr
Belnap, N. D. Jr., (1970) ‘Every Functionally Complete m-valued Logic has a Post-complete Axiomatization (with Storrs McCall).
Belnap, N. D. Jr., (1973) ‘Restricted Quantification and Conditional Assertion’.
Belnap, N. D. Jr., (1975) Entailment. The Logic of Relevance and Necessity. Volume 1 (with Alan Ross Anderson).
Belnap, N. D. Jr., (197 +) Entailment. The Logic of Relevance and Necessity. Volume 2 (with Alan Ross Anderson and Robert K. Meyer).
Bertolini, Fernando
Bertolini, F., (1970) ‘Kripke Models and Many-valued Logics’.
Bertolini, F., (1970a) ‘Kripke Models and Many-valued Logics. II.’ Bielak, Pawel
Bertolini, F., (1973 abstract) ‘The Degree of Completeness of Godel’s Logic.’
Bieltz, Petre
Bieltz, P., (1970) ‘Some Remarks Concerning the Principle of Excluded Middle’ (with Mihai Dan Birliba).
Birk, J. E
Birk, J. E., (1974) ‘Design of Multivalued Combinational Switching Circuits Using Principally Binary Components’ (with D. E. Farmer).
Bîrliba, Mihai Dan
Bîrliba, M. D., (1970) ‘Some Remarks Concerning the Principle of Excluded Middle’ (with Petre Bieltz).
Birnbaum, Leon
Birnbaum, L., (197 +) ‘Tripolar Algebra and Logic’.
Bittner, A
Bittner, A., (1973) ‘A Ternary Positional Automatic Control System’ (with Claudio Moraga).
Blanchè, Robert
Blanchè, R., (1972) ‘Sur la trivalence’.
Blochina, G. N
Blochina, G. N., (1971) ‘On Basic Groups in k-valued Logics’ (Russian) (with V. B. Kudrjavcev).
Blochina, G. N., (1972) ‘Über gewisse Eigenschaften des Systems P’ (with V. B. Kudrjavcev and G. Burosch ).
Blochina, G. N., (1973) ‘Ein Vollstandigkeitskriterium bis auf eine gewisse Äquivalenzrelation für eine verallgemeinerte Postsche Algebra’ (with V. B. Kudrjavcev and G. Burosch).
Blochina, G. N., (1973a) ‘Über verallgemeinerte Postsche Algebren’ (with V. B. Kudrjavcev and G. Burosch ).
Bobrov, A. E
Bobrov, A. E., (1972) ‘Minimization of Functions of a Many-valued Logic in a System Which has Cyclic Negation’ (Russian) (with V. A. Zurkin).
Bobrov, A. E., (1973) ‘Minimization on Functions of a Many-valued Logic Which is Defined Through the Maximum, the Minimum and All Unary Functions’ (Russian) (with V. S. Koc).
Bodendiek, Rainer
Bodendiek, R., (1974) ‘Über das Reprasentantenproblem in der k-wertigen Logik’.
Bodnarčuk, V. G
Bodnarčuk, V. G., (1969) ‘Galois Theory for Post Algebras I, II’ (Russian) (with L. A. Kaluznin, V. N. Kotov and B. A. Romov ).
Böhm, C
Böhm, C., (1966) ‘Flow Diagrams, Turing Machines, and Languages with Only Two Formation Rules’ (with G. Jacopini).
Boicescu, Vlad
Boicescu, V., (1969) ‘Sur les extensions des algèbres de Lukasiewicz’ (with I. Bădele).
Boicescu, V., (1970) ‘Sur la représentation des algebres de Lukasiewicz n-valentes.’
Boicescu, V., (1970a) ‘Les algebres de Lukasiewicz centrees et axees’.
Boicescu, V., (1971) ‘Sur les algebres de Lukasiewicz’.
Boicescu, V., (1971a) ‘Sur les systèmes déductifs dans la logique θ-valente’.
Börner, Walter
Börner, W., (1969) ‘Eine Klasse von Darstellungen der Funktionen der k-wertigen Logik’.
Braddock, R. C
Braddock, R. C., (1971) ‘Multiple Logic Design and Applications in Binary Computers’ (with George Epstein and H. Yamanaka).
Brady, Ross Thomas
Brady, R. T., (1971) A 4-valued Theory of Classes and Individuals.
Brady, R. T., (1971a) ‘The Consistency of the Axioms of Abstraction and Extensionality in a Three- valued Logic’.
Brady, R. T., (1972) ‘The Relative Consistency of the Class Axioms of Abstraction and Extensionality and the Axioms of NBG in a Three-valued Logic’.
Brady, R. T., (1973) ‘Don’t Care was Made to Care’ (with Richard Routley). (197 +) ‘Significance Logics’.
Brady, R. T., (197 +a) ‘Significance Range Theory’.
Brever, M. A
Brever, M. A., (1973) ‘The Smallest Many-valued Logic for Treatment of Complemented and Uncomplemented Error Signals’ (with George Epstein).
Brusentzov, N. P
Brusentzov, N. P., (1960) ‘The Computer Setun’ of Moscow State University’ (Russian).
Brusentzov, N. P., (1962) ‘The Setun’ Small Automatic Digital Computer’ (Russian) (with Y. A. Zhogolev and V. Verigin and S. P. Maslov and A. M. Tishulina ).
Brusentzov, N. P., (1965) ‘A Ternary Arithmetic Machine’ (Russian).
Bryll, Grzegorz
Bryll, G., (1967) ‘Some Remarks on Three-valued Logic of J. Lukasiewicz’ (with Jerzy Shipecki and Tadeusz Prucnal).
Bueno, Eramis
Bueno, E., (1969) ‘Polyvalent Modal Logics’ (Spanish).
Bueno, E., (1970) ‘A Certain Class of Many-valued Modal Systems’.
Bull, Robert Ansley
Bull, R. A., (1962) ‘The Implicational Fragment of Dummett’s LC.’
Bull, R. A., (1964) ‘An Axiomatization of Prior’s Modal Calculus Q
Bull, R. A., (1964a) ‘Some Results for Implicational Calculi’.
Burle, G. A
Burle, G. A., (1967) ‘Classes of k-valued Logic Which Contain all Functions of a Single Variable’ (Russian).
Burosch, G
Burosch, G., (1972) ‘Das Problem der Vollstandigkeit fur Boolesche Funktionen uber zwei Dual- mengen’ (with V. B. Kudrjavcev).
Burosch, G., (1972a) ‘Uber gewisse Eigenschaften des Systems P’ (with G. N. Blochina and V. B. Kudrjavcev).
Burosch, G., (1973) ‘Ein Vollständigkeitskriterium bis auf eine gewisse Äquivalenzrelation für eine verallgemeinerte Postsche Algebra’ (with G. N. Blochina and V. B. Kudrjavcev).
Burosch, G., (1973a) ‘Über verallgemeinerte Postsche Algebren’ (with G. N. Blochina and V. B. Kudrjavcev).
Cabanes, A
Cabanes, A., (1973) ‘Minimal Representation of a Function of Several Finite Variable-applications to Data Bank’ (with E. Pichat).
Cain, Robert G
Cain, R. G., (1974) ‘A Practical Approach to Two-level Minimization of Multivalued Logic’ (with Daniel L. Ostapko and Se June Hong).
Call, Richard L
Call, R. L., (1968) ‘A Minimal Canonically Complete M-valued Proper Logic for Each M.’
Caracciolo di Forino, Alfonso
Caracciolo di Forino, A., (1966) ‘m-valued Logics and m-ary Selection Functions’.
Carr, J. W., III
Carr, J. W., III (1959) ‘A Visit to Computation Centers in the Soviet Union’ (with A. J. Perlis and J. E. Robertson and N. R. Scott).
Carvallo, Michel
Carvallo, M., (1967) ‘Sur la resolution des équations de Post’.
Carvallo, M., (1968) Logique d trois valeurs. Logique a seuil.
Carvallo, M., (1968a) ‘Sur la résolution des équations de Post à v valeurs’.
Casenoves, D. M
Casenoves, D. M., (1964) ‘L-algebres, multivalent logice’.
Castaneda, Hector-Neri
Castaneda, H. N., (1964) ‘A Note on S5.’
Cazacu, C
Cazacu, C., (1968) ‘Sur les logiques m-valentes’.
Caton, Charles E
Caton, C. E., (1962) ‘A Stipulation of Logical Truth in a Modal Propositional Calculus’.
Ceĭtlin, G. E
Ceĭtlin, G. E., (1970) ‘The Structure of a Modified Post Algebra and Its Properties’ (Russian).
Ceĭtlin, G. E., (1971) ‘The Infinitely Generated Subalgebras of a Modified Post Algebra’ (Russian).
Chang Chen Chung
Chang C. C., (1957) ‘Algebraization of Infinitely Many-valued Logic’.
Chang C. C., (1958b) ‘Algebraic Analysis of Many-valued Logics’.
Chang C. C., (1959) ‘A New Proof of the Completeness of the Lukasiewicz Axioms’.
Chang C. C., (1961b) ‘Prime Ideal Characterization of Generalized Post Algebras’ (with Alfred Horn).
Chang C. C., (1963a) ‘Logic with Positive and Negative Truth Values’.
Chang C. C., (1963b) ‘The Axiom of Comprehension in Infinite-valued Logic’.
Chang C. C., (1963d) ‘A Weak Completeness Theorem for Infinite-valued First-order Logic’ (with Lawrence Peter Belluce).
Chang, Chin-liang
Chang C., (1971) ‘Some Properties of Fuzzy Logic’ (with Richard C. T. Lee).
Chao, C. Y
Chao, C. Y., (1973) ‘A Balanced Ternary Computer’ (with Gideon Frieder and A. Fong).
Chapin, E. William, Jr
Chapin, E. W., Jr. (197 +) ‘Set-valued Set Theory. I’.
Cherciu, Mihail
Cherciu, M., (1971) ‘Filtres de Stone dans les treillis distributifs’.
Cheung, Peter T
Cheung, P. T., (1971) ‘Algebraic Properties of Multi-valued Symmetric Switching Functions’ (with Stephan Y. H. Su).
Cheung, P. T., (1971a) ‘Computer-oriented Algorithm for Minimizing Multi-valued Switching Functions’ (with Stephan Y. H. Su).
Cheung, P. T., (1972) ‘Computer Minimization of Multi-valued Switching Functions’ (with Stephan Y. H. Su).
Chidgey, John R
Chidgey, J. R., (1972) ‘Necessity and Ticket Entailment’ (with R. Zane Parks).
Chidgey, J. R., (1974) On Entailment. A Consideration of Some of the Formal Properties of the Anderson and Belnap System E of Entailment and of Related Systems.
Čimev, Kiril N
Čimev, K. N., (1967) ‘A Certain Kind of Dependence of Certain Function of P k on Their Arguments’ (Bulgarian).
Čimev, K. N., (1968-69) ‘The Various Kinds of Dependence of the Functions of Many-valued Logic on Their Arguments’ (Bulgarian).
Čimev, K. N., (1968-69a) ‘The First Order Variables of the Functions of Many-valued Logic’ (Bulgarian) (with Georgi A. Kutirkov).
Choundhyry, A. C
Choundhyry, A. C., (1954) ‘On Boolean Narings’.
Chresterson, H. E
Chresterson, H. E., (1955) ‘A Class of Generalized Walsh Functions’.
Chuang, Henry Y. H
Chuang, H. Y. H., (1974) ‘On the Design of Reliable and Fail-safe Digital Systems Using Multiple-valued Logic’ (with Santano Das).
Cignoli, Roberto
Cignoli, R., (1965) ‘Boolean Elements in Lukasiewicz Algebras I’.
Cignoli, R., (1965a) ‘Boolean Elements in Lukasiewicz Algebras IF’ (with Antonio Monteiro).
Cignoli, R., (1969) Estudio algebraico de logicas polivalentes. Algebras de Moisil de orden N.
Cignoli, R., (1970) Moisil Algebras.
Cignoli, R., (1972) ‘Representation of Lukasiewicz and Post Algebras by Continuous Functions’.
Cleave, John P
Cleave, J. P., (1974) ‘The Notion of Logical Consequence in the Logic of Inexact Predicates’.
Cohen, K. J
Cohen, K. J., (1953) ‘A Remark on Łukasiewicz’s “On the Intuitionistic Theory of Deduction’”.
Cohn, M
Cohn, M., (1961) ‘Canonical Forms of Functions inp-valued Logics’.
Collier, Kenneth W
Collier, K. W., (1974) ‘A Result of Extending Bochvar’s 3-valued Logic’.
Cooper, G. A
Cooper, G. A., (1972) ‘Toward a Characterization of Logically Complete Switching Functions in /t-valued Logic’ (with Y. N. Patt).
Curran, P. F
Curran, P. F., (1973) ‘Obtaining Self-testing Logic Through the Application of Threshold Logic and an A. C. Logic Code’.
Dahn, B
Dahn, B., (1974) ‘Kripke-style Semantics for Some Many-valued Propositional Calculi’.
D’Amore, Bruno
D’Amore, B., (1972) ‘Sulla definizione di una implicazione nelle logiche polivalente che soddisfi alia transitivita che rispetti la struttura di reticolo di Boole’ (with Maurizio L. M. Matteuzzi).
D’Amore, B., (1973) ‘Considerazioni strutturali sugli insiemi indecidibili’ (with Maurizio M. Mateuzzi).
Darzins, A. Luis
Darzins, A. L., (1967 abstract) ‘The Unambiguous Characterization Problem’ for Many-valued and Aristotelian and- and or- Propositional and Functional Calculi’.
Das, Santano
Das, S., (1974) ‘On the Design of Reliable and Fail-safe Digital Systems Using Multiple-valued Logic’ (with Henry Y. H. Chuang).
Davis, Robert L
Davis, R. L., (1974) ‘Uniform Shift Networks’.
De Luca, A
De Luca, A., (1972) ‘Algebraic Properties of Fuzzy Sets’ (with S. Termini).
Dietmeyer, D. L
Dietmeyer, D. L., (1963) ‘A Magnetic Ternary Device’ (with D. J. Anderson).
Dijkstra, J. W
Dijkstra, J. W., (1968) ‘GO TO Statement Considered Harmful’.
Donaldson, J. R
Donaldson, J. R., (1973) ‘Structured Programming’.
Drabbe, Jean
Drabbe, J., (1973) ‘Sur la representation des algèbres de Post’.
Drabbe, J., (1973a) ‘Étude algèbrique des logiques á plusieurs valeurs’.
Drange, T
Drange, T., (1966) Type Crossings.
Dreben, Burton
Dreben, B., (1960) ‘Relation of m-valued Quantificational Logic to 2-valued Quantificational Logic’.
Druzeta, A
Druzeta, A., (1973) ‘Multi-threshold Circuits in the Design of Multi-state Storage Elements’ (with A. S. Sedra).
Druzeta, A., (1974) ‘Electronic Implementation of Multi-valued Logic Networks’ (with Zvonko G. Vranesic and Kenneth C. Smith).
Druzeta, A., (197+) ‘Application of Multi-threshold Elements in the Realization of Many-valued Logic Networks’ (with Zvonko G. Vranesic and Kenneth C. Smith).
DuCasse, Edgar G
DuCasse, E. G., (1972) ‘A Generalized Equivalence Relation for Post Algebras’ (with Gemot A. Metze).
DuCasse, E. G., (1973) ‘Hazard-free Realizations of Boolean Functions Using Post Functions’ (with Gemot A. Metze).
DuCasse, E. G., (1974) ‘Synthesizing Operators Defined on a Class of Decision Algebras from Post Functions’.
DuCasse, E. G., (1974a) ‘Applications of a Multi-valued Gate to the Design of Fault-tolerant Digital Systems’ (with Stephan Y. H. Su).
DuCasse, E. G., (1975) “Comments on ‘The Relationship Between Multivalued Switching Algebra and Boolean Algebra under Different Definitions of Complement’” (with Gemot A. Metze).
Dumitriu, Anton
Dumitriu, A., (1971) Logica polivalentă. Second edition (in collaboration with Teodor Stihi).
Dummett, Michael
Dummett, M., (1959) ‘A Propositional Calculus with Denumerable Matrix’.
Dummett, M., (1973) Frege: Philosophy of Language.
Dunderdale, H
Dunderdale, H., (1969) ‘Current-mode Circiuts for Ternary-logic Realization’.
Dunderdale, H., (1970) ‘Current-mode Circuits for the Unary Functions of a Ternary Variable’.
Dunn, Jon Michael
Dunn, J. M., (1968 abstract) ‘Representation Theory of Normal R-mingle Matrices’.
Dunn, J. M., (1969) ‘E, R and y’ (with Robert K. Meyer).
Dunn, J. M., (1970) ‘Algebraic Completeness Results for R-mingle and Its Extensions’.
Dunn, J. M., (1970a abstract) Extensions of RM and LC.
Dunn, J. M., (1971) ‘Algebraic Completeness Results for Dummett’s LC and Its Extensions’ (with Robert K. Meyer).
Dwinger, P
Dwinger, P., (1966) ‘Notes on Post Algebras’.
Dwinger, P., (1968) ‘Generalized Post Algebras’.
Dwinger, P., (1969) ‘Ideals in Generalized Post Algebras’.
Dzik, Wojciech
Dzik, W., (1973) ‘Structural Completeness of Godel’s and Dummett’s Propositional Calculi’.
Edmonds, Ernest
Edmonds, E., (1969) ‘Independence of Rose’s Axioms for m-valued Implication’.
Eichelberger, E
Eichelberger, E., (1965) ‘Hazard Detection in Combinational and Sequential Circuits’.
Engineering Research Associates
Engineering Research Associates (1950) High-Speed Computing Devices.
Englebretsen, G
Englebretsen, G., (1973) ‘Suggested Truth-tables for a Three-valued Sentential Logic’.
Epstein, George
Epstein, G., (1959) ‘A General Design Theory for Digital Computers’.
Epstein, G., (1960) ‘The Lattice Theory of Post Algebras’.
Epstein, G., (1962) ‘Single Function Shifting Counters’ (with J. S. Bailey).
Epstein, G., (1971 abstract) ‘On Unary Functions in Post Algebras’.
Epstein, G., (1971a abstract) ‘Aspects of Post Algebras’.
Epstein, G., (1971b) ‘Multiple-valued Logic Design and Applications in Binaiy Computers’ (with R. C. Braddock and H. Yamanaka).
Epstein, G., (1971c) ‘Decision Algebras’.
Epstein, G., (1972) ‘Applications of Post and Generalized Post Algebras to Finite and Infinite Valued Switching Circuits’.
Epstein, G., (1972a) ‘Multiple-valued Signal Processing with Limiting’.
Epstein, G., (1972b) ‘Tri-stable State Circuitry for Digital Computers’ (with Hideki Yamanaka).
Epstein, G., (1973) ‘An Equational Axiomatization for the Disjoint System of Post Algebras’.
Epstein, G., (1973a) “Comments on ‘The Relationship between Multivalued Switching Algebra and Boolean Algebra under Different Definitions of Complement’”.
Epstein, G., (1973b) ‘The Smallest Many-valued Logic for Treatment of Complemented and Uncomplemented Error Signals’ (with M. A. Breuer).
Epstein, G., (1974) ‘The Development of Multiple-valued Logic as Related to Computer Science’ (with Gideon Frieder and David C. Rine).
Epstein, G., (1974a) ‘Propositional Calculi Based on Subresiduation’ (with Alfred Horn).
Epstein, G., (1974b) ‘Finite Limitations on Propositional Calculus for Affirmation and Negation’ (with Alfred Horn).
Epstein, G., (1974c) ‘A Summary of the Development of Multiple-valued Logic as Related to Computer Science’ (with Gideon Frieder and David C. Rine).
Epstein, G., (197 +) ‘The Extensions of FSR’s to FSCR’s for p ≥ 2’.
Epstein, G., (197 +a) ‘P-algebras: an Abstraction from Post Algebras’ (with Alfred Horn).
Epstein, G., (197 +b) ‘Chain Based Lattices’.
Epstein, G., (197 +c) ‘Logics which are Characterized by Subresiduated Lattices’ (with Alfred Horn).
Epstein, G., (197 +d) Decisive Implication.
Epstein, G., (197 +e) From Fixed to Mixed Radix.
Ermolauer, N. M
Ermolauer, N. M., (1973) ‘On Logics Which are Similar to Hao Wang’s Calculus’ (Russian).
Etiemble, Daniel
Etiemble, D., (1974) ‘A New Concept for Ternary Logic Elements’ (with Michel Israel).
Evendon, John
Evendon, J., (1974) ‘Generalised Logic’.
Evendon, J., (197 +) ‘Generalised Logic. II’.
Fadini, Angelo
Fadini, A., (1962) ‘II calcolo delle class in una logica a tre valori di verità’.
Farmer, D. E
Farmer, D. E., (1974) ‘Design of Multivalued Combinational Switching Circuits Using Principally Binary Components’ (with J. E. Birk).
Fenstad, Jens Erik
Fenstad, J. E., (1964) ‘On the Consistency of the Axiom of Comprehension in the Łukasiewicz Infinite Valued Logic’.
Finn, Victor K
Finn, V. K., (1969) ‘The Precompleteness of a Class of Functions that Corresponds to the Three- valued Logic of J. Lukasiewicz’ (Russian).
Finn, V. K., (1970) ‘Certain Characteristic Truth-tables of Classical Logic and of the Three-valued Logic of J. Lukasiewicz’ (Russian).
Finn, V. K., (1971) ‘On the Axiomatization of a Three-valued Logic’ (Russian).
Finn, V. K., (1971a) Axiomatization of Some 3-valued Propositional Calculi and of Their Algebras (Russian).
Finn, V. K., (1974) ‘A Criterion of Functional Completeness for B3’.
Fisch, Max
Fisch, M., (1966) ‘Peirce’s Triadic Logic’ (with Atwell R. Turquette).
Fischer, Mark
Fischer, M., (1961) ‘A Three-valued Calculus for Deontic Logics’.
Fong, A
Fong, A., (1973) ‘A Balanced Ternary Computer’ (with Gideon Frieder and C. Y. Chao).
Fort, Marc
Fort, M., (1973) ‘Calcul des predicats trivalent’.
Fort, M., (1973a) ‘Deduction en logique trivalente’.
Foulk, C
Foulk, C.,(1972) ‘Smooth Programs and Languages’ (with O. Juelich).
Freĭvald, R. V
Freĭvald, R. V., (1966) ‘A Completeness Criterion for Partial Functions of Logic and Many-valued Logic Algebra’ (Russian).
Freĭvald, R. V., (1968) The Completeness to Within Coding of Systems of Functions of a k-valued Logic and the Complexity of Its Recognition’ (Russian).
Freĭvald, R. V., (1970) ‘Coding of Finite Sets and a Criterion of Completeness Up to Coding in Three- valued Logic’ (Russian).
Frieder, Gideon
Frieder, G., (1972) ‘Ternary Computers—Why and How’.
Frieder, G., (1973) ‘A Balanced Ternary Computer’ (with A. Fong and C. Y. Chao).
Frieder, G., (1974) ‘The Development of Multiple-valued Logic as Related to Computer Science’ (with George Epstein and David C. Rine).
Frieder, G., (1974a) ‘A Summary of the Development of Multiple-valued Logic as Related to Computer Science’ (with George Epstein and David C. Rine).
Fu, K. S
Fu, K. S., (1969) ‘A Formulation of Fuzzy Automata and its Application as a Model of Learning Systems’ (with William G. Wee).
Fujita, S
Fujita,., (1973) ‘Decomposition of Multi-valued Switching Functions and Its Application to Threshold Networks’ (with Hisashi Mine).
Fujita, Y
Fujita, Y., (1971) ‘Homorphisms of Logical Functions and Their Applications’ (with Tadahiro Kitahashi and Kokichi Tanaka).
Fujita, Y., (1972) ‘A Consideration on Compositions of Many-valued Logical Functions’ (with Tadahiro Kitahashi and Kokichi Tanaka).
Fujita, Y., (1972a) ‘An Extension of the Theorem of Isomorphism Concerning the Compositions of Many-valued Switching Functions’ (with Tadahiro Kitahashi and Kokichi Tanaka).
Fukumura, T
Fukumura, T (1972) ‘A Problem in the Many-valued Threshold Logic and Its Solution’ (with T. Haga and K. Abe).
Gabbay, Dov M
Gabbay, D. M., (1970) ‘The Decidability of the Kreisel-Putnam System’.
Gabbay, D. M., (1971 abstract) ‘The Decidability of the Kreisel-Putnam System’.
Gavrilov, G. P
Gavrilov, G. P., (1964) ‘On Quasi-Peano Functions’ (Russian).
Gavrilov, G. P., (1965) ‘On Functional Completeness in Countably-valued Logic’.
Gavrilov, G. P., (1966) Funkcii algebry logiki i klassy Posta (with S. V. Jablonskii and V. B. Kudrjavcev).
Georgescu, George
Georgescu, G., (1969) ‘Algèbres de Lukasiewicz completes’.
Georgescu, G., (1969a) ‘W-valued Centered Lukasiewicz Algebras’ (with Constantin Vraciu).
Georgescu, G., (1969b) ‘Le spectre maximal d’une algebre de Lukasiewicz’ (with Constant in Vraciu).
Georgescu, G., (1969c) ‘Sur les algebres de Lukasiewicz centrees’ (with Constant in Vraciu).
Georgescu, G., (1969d) ‘Sur le spectre maximal d’une algèbre de Lukasiewicz’ (with Constantin Vraciu).
Georgescu, G., (1969e) ‘Sur les epimorphismes centrees des algèbres de Lukasiewicz’ (with Constant in Vraciu).
Georgescu, G., (1970) ‘Caractérisation des épimorphismes des algèbres de Lukasiewicz θ-valentes’.
Georgescu, G., (1970a) ‘La dualité des algèbres de Post θ-valentes’.
Georgescu, G., (1970b) ‘Les algèbres de Lukasiewicz centrées et axées’ (with Vlad Boicesu).
Georgescu, G., (1970c) ‘On the Characterization of Centered Lukasiewicz Algebras’ (with Constant in Vraciu).
Georgescu, G., (1970d) The Centered Epimorphisms and the Construction of the Tensor Product in Lukn’.
Georgescu, G., (1971) ‘Les algèbres de Lukasiewicz θ-valentes’.
Georgescu, G., (1971a) ‘Algèbres de Lukasiewicz monadiques et polyadiques’.
Georgescu, G., (1971b) ‘Théorème de complétitude en logique θ-valente’.
Georgescu, G., (1971c) ‘The θ-valued Lukasiewicz Algebras.I’
Georgescu, G., (197Id) ‘Algebras de Lukasiewicz de orden θ. II’
Georgescu, G., (1971e) N-valued Complete Lukasiewicz Algebras’.
Georgescu, G., (1971f) ‘Algebre Lukasiewicz monadice’ (with Constant in Vraciu).
Georgescu, G., (1971g) ‘The 0-valued Lukasiewicz Algebras-III. Duality Theory’.
Georgescu, G., (1971h) ‘Les θ-ultrafiltres validants d’algèbre de Lindenbaum-Tarski d’un calcul des prédicats a θ-valeurs’.
Georgescu, G., (1972) ‘Represéntation des algebres de Lukasiewicz θ-valentes polyadiques’.
Georgescu, G., (1972a) ‘Representation of Locally Finite and of Infinite Degree Polyadic Lukasiewicz Algebras’ (Roumanian).
Georgescu, G., (197 +) ‘The θ-valued Lukasiewicz Algebras. IV’. (197 +a) ‘Monadic and Polyadic Lukasiewicz Algebras’. (197 +b) ‘La dualité des algèbres de Post θ-valentes’ (with Constantin Vraciu).
Giertz, Magnus
Giertz, M., (1973) ‘On the Analytic Formalism of the Theory of Fuzzy Sets’ (with Richard E. Bellman).
Gindikin, S. G
Gindikin, S. G., (1972) Algébra logiki v zadačah.
Givone, Donald D
Givone, D. D., (1968) ‘A Minimization Technique for Multiple-valued Logic Systems’ (with Charles M. Allen).
Givone, D. D., (1968a) Final Report on the Design of Multiple-Valued Logic Systems (with R. W. Snelsire).
Givone, D. D., (1973) ‘Applying Multiple-valued Algebra Concepts to Neural Modeling’ (with R. F. Mattrey and Charles M. Allen).
Gnidenko, V. M
Gnidenko, V. M., (1963) ‘Determinarea ordinelor claselor aproape complete in logica trivalenta’.
Goddard, Leonard
Goddard, L., (1964) ‘Sense and Nonsense’.
Goddard, L., (1966) ‘Predicates, Relations and Categories’.
Goddard, L., (1968) ‘Towards a Logic of Significance’.
Goddard, L., (1969) ‘The Existence of Universals’.
Goddard, L., (1970) ‘Nonsignificance’.
Goguen, J. A
Goguen, J. A., (1969) ‘The Logic of Inexact Concepts’.
Goldberg, H
Goldberg, H., (1974) ‘A Strong Completeness Theorem for 3-valued Logic’ (with Hugues Leblanc and George Weaver).
Golomb, S. W
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Golunkov, Yu. V
Golunkov, Y. V., (1964) ‘On the Equivalence of Formulae Realizing Transformations of Functions in a K-valued Logic’.
Gorelik, A. G
Gorelik, A. G., (1967) ‘Geometric Interpretation of a Three-valued Algebra’ (Russian).
Gorlov, V. V
Gorlov, V. V., (1973) ‘On Congruences in Closed Post Classes’ (Russian).
Gottwald, Siegfried
Gottwald, S., (1973) ‘Über Einbettungen in Zahlenbereiche einer mehrwertigen Mengenlehre’.
Graczynski, Ena
Graczynski, E., (1974) ‘On the Construction of Matrices Strongly Adequate for Pre-finite Logics’ (with Andrzej Wroriski).
Graham, R. L
Graham, R. L., (1967) ‘On n-valued Functionally Complete Truth Functions’.
Green, D. H
Green, D. H., (1973) ‘Nonlinear Ternary Feedback Shift Registers’ (with R. G. Kelsch).
Greniewski, Henryk
Greniewski, H., (1958) ‘Refleksje na marginesie wikladow z driejow logik Tadeusza Kotarbinskiego’.
Grigolia, R. S
Grigolia, R. S., (1973) ‘Algebraiczeskij analiz n-znacznych logiczeskich sistem Łukasiewicza-Tarskogo’.
Grize, Jean-Blaise
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Grosch, H. J. R
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Guttierrez, Jorge
Guttierrez, J., (1974) ‘Critical Races in Fundamental Mode Ternary Sequential Machines’ (with Claudio Moraga).
Guttierrez, J., (1974a) ‘Multithreshold Periodic Ternary Threshold Logic’ (with Claudio Moraga).
Haack, R. J
Haack, R. J., (1971) ‘No Need for Nonsense’.
Haack, Susan
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Haberlin, H
Haberlin, H., (1970) ‘Arithmetische Operationen mit binar codierten Ternarzahlen’ (with H. Muller).
Hacking, Ian
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Haga, J
Haga, J., (1972) ‘A Problem in the Many-valued Threshold Logic and Its Solution’ (with K. Abe and T. Fukumura).
Halldén, Soren
Halldén, S., (1957) On the Logic of ‘Better’.
Hall worth, R. P
Hallworth, R. P., (1962) ‘Semiconductor Circuits for Ternary Logic’ (with F. G. Heath).
Halperu, Israel
Halperu, I., (1968) ‘Ternary Arithmetic Unit’ (with Michael Yoeli).
Hamacher, V. C
Hamacher, V. C., (1971) ‘Multivalued versus Binary High Speed Multipliers’ (with Zvonko G. Vranesic).
Hamacher, V. C., (1972) ‘Ternary Logic in Parallel Multipliers’ (with Zvonko G. Vranesic).
Hampel, D
Hampel, D., (1973) ‘Multifunction Threshold Gates’.
Hampel, D., (1973a) ‘Threshold Logic Multiplier’ (with L. Micheel and K. Prost).
Hansel, Georges
Hansel, G., (1969) ‘Construction d’un schema functionnel en logic a plusieurs valeurs’ (with Gerard Levy).
Hanazawa, Masazumi
Hanazawa, M., (1966) ‘A Characterization of Axiom Schema Playing the Role of Tertium non Datur in Intuitionistic Logic’.
Hanzawa, M
Hanzawa, M., (1938) ‘The Theory of Equivalent Transformation of Simple Partial Paths in the Relay Circuit’ (with A. Nakasima).
Hasegawa, Toshiharu
Hasegawa, T., (1964) ‘Tunnel Diode Circuits for Ternary Logic’ (Japanese) (with Y. Nagaoka and Yoshikazu Tezuka and Yoshiro Kasahara).
Hasegawa, T., (1969) ‘Construction and Analysis of Tri-stable Circuit and Its Application to Ternary Feedback Shift Register’ (with Hisashi Mine and Yoshiahi Koga and M. Ideda and T. Shintani).
Hasegawa, T., (1971) ‘Four Ternary Arithmetic Operations’ (with Hisashi Mine and Ryosako Shimada).
Hasegawa, T., (1972) ‘Many-valued Logic and Its Applications’ (Japanese).
Heath, F. G
Heath, F. G., (1962) ‘Semiconductor Circuits for Ternary Logic’ (with R. P. Hallworth).
Heelan, Patrick A
Heelan, P. A., (1970) ‘Quantum Logic and Classical Logic. Their Respective Roles’.
Hendry, Herbert E
Hendry, H. E., (1969) ‘On the Concepts of Sheffer Functions’ (with Gerald J. Massey).
Herzberger, Hans G
Herzberger, H. G., (1970) ‘Truth and Modality in Semantically Closed Languages’.
Herzberger, H. G., (1973) ‘Dimensions of Truth’.
Herzberger, H. G., (197 +) ‘Setting Russell Free’.
Heyting, Arend
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Hong, Se June
Hong, S. J., (1974) ‘A Practical Approach to Two-level Minimization of Multivalued Logic’ (with Daniel C. Ostapko and Robert G. Cain).
Horn, Alfred
Horn, A., (1961) ‘Prime Ideal Characterization of Generalized Post Algebras’ (with Chen Chung Chang).
Horn, A., (1969) ‘Logic with Truth Tables in a Linearly Ordered Heyting Algebra’.
Horn, A., (1969a) ‘Free L-algebras’
Horn, A., (1974) ‘Propositional Calculi Based on Subresiduation’ (with George Epstein).
Horn, A., (1974a) ‘Finite Limitations on a Propositional Calculus for Affirmation and Negation’ (with George Epstein).
Horn, A., (197 +) ‘P-algebras, an Abstraction from Post Algebras’ (with George Epstein). (197 +a) ‘Chain Based Lattices’ (with George Epstein).
Horn, A., (197 4-b)‘Logics which are Characterized by Subresiduated Lattices’ (with George Epstein).
Hosoi, Tsutomu
Hosoi, T., (1966) ‘Algebraic Proof of the Separation Theorem on Dummett’s LC’.
Hosoi, T., (1966a) ‘On the Separation Theorem of Intermediate Propositional Calculi’.
Hosoi, T., (1966b) ‘The Separable Axiomatization of the Intermediate Systems S’.
Hosoi, T., (1966c) ‘The Axiomatization of the Intermediate Propositional Sn of Gödel’.
Hosoi, T., (1967) ‘On Intermediate Logics V.’
Hosoi, T., (1967a) ‘On the Axiomatic Method and the Algebraic Method for Dealing with Propositional Logics’.
Hosoi, T., (1967b) ‘A Criterion for the Separable Axiomatization of Gödel’s Sn’.
Hosoi, T., (1969) ‘On Intermediate Logics II.’
Hosoi, T., (1970) ‘The Intermediate Logics on the Second Slice’ (with Hiroakira Ono).
Hosoi, T., (197 +) ‘Intermediate Propositional Logics (A Survey)’ (with Hiroakira Ono).
Humberstone, I. L
Humberstone, I. L., (197 +) ‘Two Systems of Presupposition Logic’ (with J. M. Bell).
Hung, Chen Uan
Hung, C. U., (1970) ‘Remarks on Intermediate Logics’.
Hurst, S. L
Hurst, S. L., (1968) ‘An Extension of Binary Minimisation Techniques to Ternary Equations’.
Hurst, S. L., (1968a) ‘Semiconductor Circuits for 3-state Logic Applications’.
Ideda, M
Ideda, M., (1969) ‘Construction and Analysis of a Tri-stable Circuit and Its Application to Ternary Feedback Shift Register’ (with Hisashi Mine and Toshiharu Hasegawa and Yoshiahi Koga and T. Shintani).
Ilkka, Seppo
Ilkka, S., (1966) A New Arithmetization for Finitely Many-valued Propositional Calculi.
Imamiya, A
Imamiya, A., (1973) ‘Ternary Threshold Logic Networks Realizing Three-valued Multithreshold Functions’ (with S. Noguchi and J. Oizumi).
Irving, T. A
Irving, T. A., (1973) ‘An Approach to Multi-valued Sequential Logic’ (with H. T. Nagle).
Iséki, Kiyoshi
Iséki, K., (1966) ‘A Pentavalued Logic and Its Algebraic Theory’ (with Shotaro Tanaka).
Iséki, K., (1966a) ‘Some Three Valued Logics and Its Algebraic Representations’.
Iséki, K., (1968) Kigo ronrigaku (Meidai ronri). (Symbolic Logic (Propositional Logic).
Israel, Michel
Israel, M., (1974) ‘A New Concept for Ternary Logic Elements’ (with Daniel Etiemble).
Iturrioz, Luisa
Iturrioz, L., (1965) ‘Axiomas para il calculo proposicional trivalente de Lukasiewicz’.
Iturrioz, L., (1968) ‘Sur une classe particuliere d’algebres de Moisil’.
Iturrioz, L., (1969) ‘Erratum: Sur une classe particuliere d’algebres de Moisil’.
Ivas’kiv, Ju. L
Ivas’kiv, J. L., (1963) ‘A Class of Canonical Forms for the Representation of 3-valued Functions’ (with Z. L. Rabinowitz).
Ivas’kiv, J. L., (1969) ‘Description of Many-valued Logics’ (Russian) (with D. A. Pospelov and Z. Tosic).
Ivas’kiv, J. L., (1971) Principles of Multivalued Implementation Schemes (Russian).
Ivin, A. A
Ivin, A. A., (1970) ‘Definitions of Alethic and Deontic Modal Functors in Terms of Material Implication and Constants’ (Russian).
Jablonskiĭ, S. V
Jablonskiĭ, S. V., (1966) Funkcii algébry i klassy Posta (with G. P. Gavrilov and V. B. Kudrjavcev).
Jablonskiĭ, S. V., (1969) ‘Precomplete Classes in /:-valued Logics’ (Russian) (with E. Ju. Zaharova and V. B. Kudrjavcev).
Jablonskiĭ, S. V., (1972) ‘Certain Properties of Nondegenerate Superpositions in Pk’ (Russian).
Jacopini, C.
Jacopini, C., (1966) ‘Flow Diagrams, Turing Machines, and Languages with Only Two Formation Rules’ (with C. Böhm).
Janczewski, L. J
Janczewski, L. J., (1970) Practical Realization of Multivalued Logic Circuits.
Janczewski, L. J., (1971) ‘Circuit Implementations of Multivalued Logic’ (with Kenneth C. Smith and Zvonko G. Vranesic).
Janczewski, L. J., (1973) ‘Geometrical Approach to Multivalued Logic Function Synthesis’.
Janin, P
Janin, P., (1969) ‘Bases de l’algèbrisation de la logique trivalente’.
Jankov, V. A
Jankov, V. A., (1963) ‘O nékotoryh supérkonstruktivnyh isčisléniàh vyskazyvanij’ (Some Supercon-structive Propositional Calculi).
Jankov, V. A., (1963a) ‘O réalizuemyh formulah logiki vyskazyvanij’ (Realizable Formulas of Pro- positional Logic).
Jankov, V. A., (1963b) ‘O svázi méždu vyvodimost’u v intuičionistkom isčislénii vyskazyvanij i konéčnymi implikativnymi strukturami’ (The Relationship Between Deducibility in the Intuitionist Propositional Calculus and Finite Implicational Structures).
Jankov, V. A., (1968) ‘Postroénié poslédovatél’nosti sil’no nézavisimyh supérintuicionistskih propozicional’nyh isčislénij’ (Constructing a Sequence of Strongly Independent Superintui-tionistic Propositional Calculi).
Jankov, V. A., (1968a) ‘Ob isčislenii slabogo zakona isklučennogo trét’ego’ (The Calculus of the Weak “Law of Excluded Middle”).
Jankov, V. A., (1968b) ‘On the Extension of the Intuitionist Propositional Calculus to the Classical Calculus, and the Minimal Calculus to the Intuitionist Calculus’ (Russian).
Jankov, V. A., (1969) ‘Konúnktivno nérazložimyé formuly v propozicional’nyh isčisléniáh’ (Conjunctively Indecomposable Formulas in Propositional Calculi).
Jørgensen, Chr. Klixbiill
Jørgensen, C. K., (1967) ‘The Extensional Classification of Categorical Propositions and Trivalent Logic’.
Jordan, I. B
Jordan, I. B., (1974) ‘Integrated Circuits for Ternary Logic’ (with H. T. Mouftah).
Jordan, Zbigniew
Jordan, Z., (1963) ‘Logical Determinism’.
Jorgović, Milutin M
Jorgović, M. M., (1969) ‘A Remark Concerning a Base for Many-valued Propositional Algebra’ (Serbo- Croatian).
Juelich, D
Juelich, D., (1972) ‘Smooth Programs and Languages’ (with C. Foulk).
Kalužnin, L. A
Kalužnin, L. A., (1969) ‘Galois Theory for Post Algebras. I, II’ (Russian) (with V. G. Bodnarcuk and V. N. Kotov and B. A. Romov ).
Kandel, Abraham
Kandel, A., (1974) ‘Fuzzy Representation, CNF Minimization and Their Application to Fuzzy Transmission Structures’.
Kang, Andy N. C
Kang, A. N. C., (1974) ‘On the Boolean Functions Over 4-element Boolean Algebra’ (with Stephan N. T. Shen).
Kaniel, A
Kaniel, A., (1973) ‘Trilogic, a Three-level Logic System Provides Greater Memory Density’.
Karttunen, Lauri
Karttunen, L., (1973) ‘Presupposition of Compound Sentences’.
Kasahara, Yoshiro
Kasahara, Y., (1964) ‘Tunnel Diode Circuits for Ternary Logic’ (Japanese) (with Toshiharu Hasegawa and Y. Nagaoka and Yoshikazu Tezuka).
Kasahara, Y., (1969) ‘The Characterizing Parameters of Ternary Logical Functions and Their Applications to Threshold Logical Functions’ (with Tadahiro Kitahashi and Hirosato Nomura and Yoshikazu Tezuka).
Kasahara, Y., (1970) ‘Monotonicity of Ternary Logical Functions and Its Applications to the Analysis of Ternary Threshold Functions’ (Japanese) (with Tadahiro Kitahashi and Yoshikazu Tezuka and Hirosato Nomura).
Keir, Y. A
Keir, Y. A., (1963) ‘The Functional Capability of the Saturable-Hall Logic Element’.
Keenan, Edward
Keenan, E., (1972) ‘On a Semantically Based Grammar’.
Kelsch, R. G
Kelsch, R. G., (1973) ‘Nonlinear Ternary Feedback Shift Sequences’ (with D. H. Green).
King-Farlow, John
King-Farlow, J., (1958) ‘Sea-fights Without Tears’.
Kimura, M
Kimura, M., (1972) ‘Testing and Realization of Ternary Threshold Functions’.
Kirin, Vladimir G
Kirin, V. G., (1963) ‘On the Polynomial Representation of Operators in the n-valued Propositional Calculus’.
Kirin, V. G., (1966) ‘Gentzen’s Method for the Many-valued Propositional Calculi’.
Kirin, V. G., (1968) ‘Post Algebras as Semantic Bases of Some Many-valued Logics’.
Kirk, Robert Elefter
Kirk, R. E., (1972) Intermediate Logics and Equational Classes of Brouwerian Algebras.
Kitahashi, Tadahiro
Kitahashi, T., (1969) ‘The Characterizing Parameters of Ternary Logical Functions and Their Application to Threshold Logical Functions’ (with Hirosato Nomura and Yoshikazu Tezuka and Yoshiro Kasahara).
Kitahashi, T., (1970) ‘Monotonicity of Ternary Logical Functions and Its Applications to the Analysis of Ternary Threshold Functions’ (Japanese) (with Yoshikaza Tezuka and Yoshiro Kasahara and Hirosato Nomura).
Kitahashi, T., (1970) ‘Homomorphisms of Logical Functions and Their Applications’ (with Y. Fujita and Kokichi Tanaka).
Kitahashi, T., (1971a) ‘An Orthogonal Expansion of Multiple-valued Logical Functions’ (with Kokichi Tanaka).
Kitahashi, T., (1972) ‘A Consideration on Compositions of Many-valued Logical Functions’ (with Y. Fujita and Kokichi Tanaka).
Kitahashi, T., (1972a) ‘An Extension of the Theorem of Isomorphism Concerning the Compositions of Many-valued Switching Functions’ (with Y. Fujita and Kokichi Tanaka).
Klaua, Dieter
Klaua, D., (1965) ‘Über einen Ansatz zur mehrwertigen Mengenlehre’.
Klaua, D., (1966) ‘Über einen zweiten Ansatz zur mehrwertigen Mengenlehre’.
Klaua, D., (1967) ‘Ein Ansatz zur mehrwertigen Mengenlehre’.
Klaua, D., (1967a) ‘Einbettung der klassischen Mengenlehre in die Mehrwertige’.
Klaua, D., (197 +) ‘Zur Arithmetik mehrwertiger Zahlen’.
Kleene, Stephan Cole
Kleene, S. C., (1956) ‘Representation of Events on Nerve Nets and Finite Automata’.
Klevačev, V. I
Klevačev, V. I., (1970) ‘Certain Systems that are Complete in Pk’ (Russian).
Kline, George L
Kline, G. L., (1965) ‘N. A. Vasil’ev and the Development of Many-valued Logics’.
Knuth, D. E
Knuth, D. E., (1969) The Art of Computer Programming. Volume 2: Seminumerical Algorithms.
Koc, V. S
Koc, V. S., (1973) ‘Minimization of Functions of a Many-valued Logic, Which are Defined Through the Maximum, the Minimum and All Unary Functions’ (Russian) (with D. E. Bobrov).
Kodandapani, K. L
Kodandapani, K. L., (1974) ‘Multi-valued Algebraic Generalizations of Reed-Muller Canonical Forms’ (with Rangaswamy V. Setlur).
Kohonen, Teuvo
Kohonen, T., (1974) ‘On the Implementation of Logic and Tables by Linear Networks’.
Kohout, Ladislav
Kohout, L., (1974) ‘The Pinkava Many-valued Complete Logic Systems and Their Applications in the Design of Many-valued Switching Circuits’.
Koga, Yoshiaki
Koga, Y., (1966) ‘A Property of Three-valued Functions of One Variable’ (with Hisashi Mine).
Koga, Y., (1969) ‘Construction and Analysis of a Tri-stable Circuit and Its Application to Ternary Feedback Shift Register’ (with Hisashi Mine and Toshiharu Hasegawa and M. Ideda and T. Shintani).
Kooi, C. F
Kooi, C. F., (1964) ‘Nonlinear Hall-effects Ternary Logic Element’ (with J. L. Wenver).
Körner, Stephan
Körner, S., (1966) Experience and Theory. An Essay in the Philosophy of Science.
Körner, S., (1968) ‘Reply to Mr. Kumar’.
Körner, S., (1970) Categorial Frameworks.
Kotarbiński, Tadeusz
Kotarbiński, T., (1913) ‘Zagadnienie istnienia pryszfosci’ (On the Problem of Existence of Future Events).
Kotov, V. N
Kotov, V. N., (1969) ‘Galois Theory for Post Algebras. I, II’ (Russian) (with V. G. Bodnarćuk and L. A. Kalužnin and B. A. Romov ).
Koukkunen, H
Koukkunen, H., (1972) ‘Some Applications of Many-valued Threshold Logic in Digital Arithmetic’ (with L. Ojala).
Krauss, Peter Holger
Krauss, P. H., (1966) Probability Logic.
Kreisel, George
Kreisel, G., (1957) ‘Eine Unableitbarkeitsbeweismethode für den intuitionistischen Aussagenkalkül’ (with Hilary Putnam).
Krishnamurty, E. V
Krishnamurty, E. V., (1964) ‘An Algebra for (m + p) Switching Circuits’.
Kudrjavcev, Valeriĭ B
Kudrjavcev, V. B., (1966) Funkcii algébry logiki i klassy Posta (with S. V. Jablonskiĭ and G. P. Gavrilov ).
Kudrjavcev, V. B., (1969) ‘Precomplete Classes in k-valued Logics’ (Russian) (with E. Ju. Zaharova and S. V. Jablonskiĭ).
Kudrjavcev, V. B., (1970) ‘The Coverings of Precomplete Classes of k-valued Logic’ (Russian).
Kudrjavcev, V. B., (1971) ‘Concerning S-systems of Functions of a k-valued Logic’ (Russian).
Kudrjavcev, V. B., (1971a) ‘The Properties of S-systems of Functions of k-valued Logic’ (Russian).
Kudrjavcev, V. B., (1971b) ‘On Basic Groups in k-valued Logics’ (Russian) (with G. N. Blohina).
Kudrjavcev, V. B., (1972) ‘Das Problem der Vollständigkeit für Boolesche Funktionen über zwei Dualmengen’ (with G. Burosch).
Kudrjavcev, V. B., (1972a) ‘Über gewisse Eigenschaften des System P’ (with G. N. Blochina and G. Burosch).
Kudrjavcev, V. B., (1973) ‘Ein Vollständigkeitskriterium bis auf eine gewisse Äquivalenzrelation für eine verallgemeinerte Postsche Algebra’ (with G. N. Blochina and G. Burosch).
Kudrjavcev, V. B., (1973a) ‘Über verallgemeinerte Postsche Algebren’ (with G. N. Blochina and G. Burosch).
Kudrjavcev, V. B., (1973b) ‘On Properties of S-systems of k-valued Logic’ (Russian).
Kudrjavcev, V. B., (1974) ‘On the Functional System PΣ’ (Russian).
Kumar, Dharmendra
Kumar, D., (1967) ‘Logic and Inexact Predicates’.
Kumar, D., (1969) ‘Neutrality, Contingency and Undecidability’.
Kumar, D., (1971) ‘Vagueness and Subjunctivity’.
Kutirkov, Georgi A
Kutirkov, G. A., (1968-69) ‘The First Order Variables of the Functions of Many-valued Logic’ (Bulgarian) (with Kiril N. Čimev).
Lakoff, George
Lakoff, G., (1973) ‘Hedges: A Study in Meaning Criteria and the Logic of Fuzzy Concepts’.
Lam, C. I
Lam, C. I. (1974) ‘Multiple-valued Pseudorandom Number Generators’ (with Zvonko G. Vranesic).
Lambert, Karel
Lambert, K., (1968) ‘On the No Type Theory of Significance’.
Logic and Microphysics’.
La Macchia, Samuel
La Macchia, S., (1967) ‘Some Generalized Sheffer Functions’ (with Alexander Abian).
La Macchia, S., (1967a) ‘Examples of Generalized Sheffer Functions’ (with Alexander Abian).
Leblanc, Hugues
Leblanc, H., (1974) ‘A Strong Completeness Theorem for 3-valued Logic’ (with H. Goldberg and George Weaver).
Leblanc, H., (197 +) ‘A Strong Completeness Theorem for 3-valued Logic. II’.
Lee, E. S
Lee, E. S., (1970) ‘A Many-valued Algebra for Switching Systems’ (with Zvonko G. Vranesic and Kenneth C. Smith).
Lee, E. S., (1971) ‘Multivalued Symmetric Functions’ (with S. C. Lee).
Lee, Richard C. T
Lee, Richard C. T., (1971) ‘Some Properties of Fuzzy Logic’ (with Chin-liang Chang).
Lee, Richard C. T., (1972) ‘Fuzzy Logic and the Resolution Principle’.
Lee, S. C
Lee, S. C., (1971) ‘Multivalued Symmetric Functions’ (with E. T. Lee).
Leigh, Vivien
Leigh, V., (1972) ‘Self-dual Sets of Unary and Binary Connectives for the 3-valued Propositional Calculus’.
Lejewski, Czesaw
Lejewski, C., (1967) ‘Łukasiewicz, Jan’.
Lempicki, A
Lempicki, A., (1974) ‘A New Look at Optical Logic’.
Lévy, Gérard
Lévy, G., (1969) ‘Formes disjonctives minimales dans une logique à plusieurs valeurs’.
Lévy, G., (1969a) ‘Construction d’un schema fonctionnel en logique à plusieurs valeurs’ (with Georges Hansel).
Liebler, M
Liebler, M., (1971) ‘Multiple-real-valued Walsch Functions’ (with R. Roesser).
Loader, John
Loader, J., (1974) ‘A Method for Finding Formulae Corresponding to First Order Universal Decision Elements in m-valued Logic’.
Łos, Jerzy
Łos, J., (1949) O matrycach logicznych (On Logical Matrices).
Lozy, H. El
Lozy, H. E., (1973) ‘On the Generation of All the One Variable Functions in M-valued Logic’.
Łukasiewicz, Jan
Łukasiewicz, J., (1910) ‘Über den Satz des Widerspruchs bei Aristoteles’.
Łukasiewicz, J., (1918) ‘Treść wykładu poz egnalnego prof. Jana Łukasiewicza, wygfoszonego w auli Uniwersytetu Warszawskiego dnia 7-go Marca 1918’ ( Farewell Lecture by Professor Jan Łukasiewicz, Delivered in the Warsaw University Lecture Hall on March 7, 1918 ).
Łukasiewicz, J., (1920) ‘O logice trojwartosciowej’ (On Three-valued Logic).
Łukasiewicz, J., (1921) ‘Logika dwuwartosciowa’ (Two-valued Logic).
Łukasiewicz, J., (1923) ‘O determinzmie’ (On Determinism).
Łukasiewicz, J., (1929) Elementy logiki matematycznej (Elements of Mathematical Logic).
Łukasiewicz, J., (1930a) ‘Philosophisehe Bemerkungen zu mehrwertigen Systemen des Aussagenkalkiils’.
Łukasiewicz, J., (1930b) ‘Untersuchungen uber den Aussagenkalkül’ (with Alfred Tarski).
Łukasiewicz, J., (1934) ‘Z historji logiki zdań’ (On the History of the Logic of Propositions).
Łukasiewicz, J., (1937) ‘Wobronie logistyki’ (A Defense of Logistic).
Łukasiewicz, J., (1938) ‘Die Logik und das Grundlagenproblem’.
Łukasiewicz, J., (1952) ‘On the Intuitionistic Theory of Deduction’.
Łukasiewicz, J., (1953b) ‘A System of Modal Logic’.
Łukasiewicz, J., (1953c) ‘Comment of K. J. Cohen’s Remark’.
Łukasiewicz, J., (1961) Z zagadnień logiki ifilozofii (Logical and Philosophical Papers).
Łukasiewicz, J., (1970) Selected Works.
Maduch, Maria
Maduch, M., (1972) ‘A Definability Criterion for the Operations in Finite Lukasiewicz’s Implicational Matrices’.
Majstrova, T. D
Majstrova, T. D., (1960) ‘Priménié mnogoznačnoj logiki v teorii réléjnyh shém’ (Application of Many- valued Logics in the Theory of Relay Networks).
Majstrova, T. D., (1961) ‘Réléjnye shémy i mnogoznačinaà logika’ (Relay Networks and Many-valued Łogics) (with V. I. Roghinski).
Maksimova, Larisa L
Maksimova, L. L., (1972) ‘Prjedtablicznyje superintuicjonistskije logiki’ (Pretabular Superintuitionist Logic).
Mal’cév, A. I
Mal’cév, A. I., (1966) ‘Iterativnyé algébry i mnogoobraziá Posta’ (Iterative Algebra and Post Manifolds).
Mal’cév, A. I., (1967) ‘Ob odnom usilenii teorem Shipeckogo i Jablonskogo’.
Mal’cév, A. I., (1972) ‘Congruences and Automorphisms in Cells of Post Algebras’ (Russian).
Mal’cév, A. I., (1972a) ‘Some Properties of Cellular Subalgebras of a Post Algebra and Their Basic Cells’ (Russian).
Malinowski, Grzegorz
Malinowski, G., (1972) ‘Dual Counterparts of Lukasiewicz Sentential Calculi’ (with Maciej Spasowski).
Malinowski, G., (1973) MVk Algebras’.
Malinowski, G., (1974) ‘S-afgebras for n-valued Sentential Calculi of Łukasiewicz’.
Malinowski, G., (1974a) ‘S-algebras and the Degrees of Maximality for Three and Four Valued Logics of Łukasiewicz’.
Malinowski, G., (1974b) ‘Degrees of Maximality of Some Lukasiewicz Logics’.
Malinowski, G., (1974c) ‘Dual Counterparts of Lukasiewicz’s Sentential Calculi’ (with Maciej Spasowski).
Marek, W.
Marek, W., (1969) ‘Generalized Lukasiewicz Algebras’ (with Tadeusz Traczyk).
Margaris, Angelo
Margaris, A., (1956) A Problem of Rosser and Turquette in Many-valued Logic.
Margaris, A., (1958) ‘A Problem of Rosser and Turquette’.
Marinos, Peter
Marinos, P., (1969) ‘Fuzzy Logic and Its Application to Switching Systems’.
Marquetty, Antoine
Marquetty, A., (1974 abstract) ‘Generalized Many-valued Logics’.
Martyniok, V. V
Martyniok, V. V., (1960) ‘Issledovanie nekotorykh klassov funksij v mnogoznacnykh logikakh, II’.
Maslov, S. P
Maslov, S. P., (1962) ‘The Setun’ Small Automatic Digital Computer’ (Russian) (with N. P. Brusentzov and Y. A. Zhogolev and V. V. Verigin and A. M. Tisholina ).
Massey, Gerald J
Massey, G. J., (1969) ‘On the Concepts of Sheffer Functions’ (with Herbert E. Hendry).
Massey, G. J., (1969a) ‘Sheffer Functions for Many-valued Modal Logics’.
Massey, G. J., (1971 abstract) ‘Functional Completeness in m-valued Truth Tabular Logic’.
Massey, G. J., (1972) ‘The Modal Structure of the Prior-Rescher Family of Infinite Product Systems’.
Materna, Pavel
Materna, P., (1972) ‘Intensional Semantics of Vague Constants. An Application of Tichy’s Concept of Semantics’. Matteuzzi
Maurizio L. M
Maurizio L. M., (1972) ‘Sulla definizione di una implicazione nelle logiche polivalenti che soddisfi alia transitivita e che rispetti la struttura di reticolo di Boole’ (with Bruno A’Amore).
Maurizio L. M., (1973) ‘Considerazione strutturali sugli insiemi indecidibili’ (with Bruno D’Amore).
Mattrey, R. F
Mattrey, R. F., (1973) ‘Applying Multiple-valued Algebra Concepts to Neural Modeling’ (with Donald D. Givone and Charles M. Allen).
Maydole, Robert Edwin
Maydole, R. E., (1973) Many-valued Logic as a Basis for Set Theory.
McArthur, Robert P
McArthur, R. P., (197 +) ‘Three-valued Free Tense Logic’.
McCall, Storrs
McCall, S., (1966) ‘Connexive Implication’.
McCall, S., (1966a) ‘Pure Three-valued Lukasiewiczian Implication’ (with Robert K. Meyer).
McCall, S., (1967) Polish Logic: 1920–1939.
McCall, S., (1967a) ‘MacColl’.
McCall, S., (1967b) ‘Connexive Implication and the Syllogism’.
McCall, S., (1967c) ‘Connexive Class Logic’.
McCall, S., (1969) ‘The System S9’ (with Arnold Vander Nat).
McCall, S., (1970) ‘Every Functionally Complete m-valued Logic has a Post-complete Axiomatiza- tion’ (with Nuel D. Belnap, Jr.).
McCoy, N
McCoy, N., (1937) ‘A Representation of Generalized Boolean Rings’.
McCulloch, W. S
McCulloch, W. S., (1943) ‘A Logical Calculus of the Ideas Immanent in Nervous Activity’ (with W. S. Pitts).
McDonald, J. F
McDonald, J. F., (1974) ‘Extensions of the Weiner-Smith Algorithm for m-ary Synchronous Sequential Circuit Design’ (with Inder Singh).
McKay, C. G
McKay, C. G., (1967) ‘On Finite Logics’.
McKay, C. G., (1967a) ‘A Note on the Jaśkowski Sequence’.
McKay, C. G., (1968) ‘The Decidability of Certain Intermediate Propositional Logics’.
McKay, C. G., (1968a) ‘The Non-separability of a Certain Finite Extension of Heyting’s Propositional Logic’.
McKay, C. G., (1968b) ‘The Non-separability of a Certain Finite Extension of Heyting’s Propositional Logic’.
McKay, C. G., (1971) ‘A Class of Decidable Intermediate Propositional Logics’.
Meredith, C. A
Meredith, C. A., (1966) ‘Postulates for Implicational Calculi’.
Metze, Gemot A
Metze, G. A., (1955) ‘An Application of Multi-valued Logic Systems to Circuits’.
Metze, G. A., (1971) ‘Some Relationships Between Post and Boolean Algebras’ (with R. S. Wojcik).
Metze, G. A., (1972) ‘A Generalized Equivalence Relation for Post Algebras’ (with Edgar G. DuCasse).
Metze, G. A., (1973) ‘Hazard-free Realizations of Boolean Functions Using Post Functions’ (with Edgar G. DuCasse).
Metze, G. A., (1975) “Comments on ‘The Relationship Between Multivalued Switching Algebra and Boolean Algebra under Different Definitions of Complement’” (with Edgar G. DuCasse).
Meyer, Robert Kenneth
Meyer, R. K., (1966) Topics in Modal and Many-valued Logic.
Meyer, R. K., (1966a) ‘Pure Denumerable Łukasiewiczian Implication’.
Meyer, R. K., (1966b) ‘Pure Three-valued Łukasiewiczian Implication’ (with Storrs McCall).
Meyer, R. K., (1969) ‘E, R and y’ (with J. Michael Dunn).
Meyer, R. K., (1971 abstract) ‘R-mingle and Relevant Disjunction’.
Meyer, R. K., (1971a) ‘Algebraic Completeness Results for Dummett’s LC and Its Extensions’ (with J. Michael Dunn).
Meyer, R. K., (1972) ‘Independent Axioms for the Implicational Fragment of Sobociński’s Three- valued Logic’ (with R. Zane Parks).
Meyer, R. K., (197 +) Coherence Revisited.
Michalski, R. S
Michalski, R. S., (1974) ‘Variable-valued Logic’.
Micheel, L
Micheel, L., (1973) ‘Threshold Logic Multiplier’ (with D. Hampel and K. Prost).
Miller, D. M
Miller, D. M., (1973) ‘Decomposition of Ternary Switching Functions’ (with J. C. Muzio).
Miller, D. M., (1974) ‘A Ternary Cellular Array’ (with J. C. Muzio).
Mine, Hisashi
Mine, H., (1966) ‘A Property of Three-valued Functions of One Variable’ (with Yoshiaki Koga).
Mine, H., (1969) ‘Construction and Analysis of Tri-stable Circuit and Its Application to Ternary Feedback Shift Register’ (with Toshiharu Hasegawa and Yoshiahi Koga and M. Ideda and T. Shintani).
Mine, H., (1970) ‘Permutations and Lattice Operations in Many-valued Logic’ (Japanese) (with Ryosaku Shimada).
Mine, H., (1971) ‘Four Ternary Arithmetic Operations’ (with Toshiharu Hasegawa and Ryosaku Shimada).
Mine, H., (1973) ‘Decomposition of Multi-valued Switching Functions and Its Application to Threshold Networks’ (with S. Fujita).
MIT Computing Center
MIT Computing Center (1971) LISP 1. 5.
Miura, Satoshi
Miura, S., (1968) ‘Certain Method for Generating a Series of Logics’ (with Shûrô Nagata).
Miyama, Tôru
Miyama, T., (1973) ‘Another Proof and an Extension of Gill’s Interpolation Theorem’.
Mizumoto, M
Mizumoto, M., (1972) ‘General Formulation of Formal Grammars’ (with J. Toyoda and Kokichi Tanaka).
Mizuno, H
Mizuno, H., (1972) ‘Testing and Realization of Ternary Threshold Functions’ (with M. Kimura).
Mlëziva, Miroslav
Mlëziva, M., (1960) ‘K axiomatisaci trojhodnotové vyrokove logiky’ (On the Axiomatization of Three-valued Propositional Logic).
Moisil, Grigor Constantin
Moisil, G. C., (1936) ‘Recherches sur l’algèbre de la logique’.
Moisil, G. C., (1938) ‘Sur la théorie classique de la modalité des jugements’.
Moisil, G. C., (1939b) ‘Recherches sur le syllogisme’.
Moisil, G. C., (1939c) ‘La logique formelle et son problème actuel’.
Moisil, G. C., (1940) ‘Recherches sur les logiques non-chrysippiènnes’.
Moisil, G. C., (1940-41) ‘Sur la structure algèbrique de la logique de M. Bochvar’.
Moisil, G. C., (1941a) ‘Notes sur les logique non-chrysippiennes’.
Moisil, G. C., (1941c) ‘Contributions a l’etude des logiques non-chrysippiènnes. I. Un nouveau système d’axiomes pour les algèbres Łukasiewicziennes tetra-valentes’.
Moisil, G. C., (1941d) ‘Remarques sur la logique modale du concept’.
Moisil, G. C., (1941e) ‘Sur les anneaux de caracteristique 2 ou 3 et leurs applications’.
Moisil, G. C., (1941f) ‘Sur les theories déductives à logique non-chrysippienne’.
Moisil, G. C., (1942a) ‘Logique modale’.
Moisil, G. C., (1942b) ‘Contributions a l’étude des logiques non-chrysippiènnes. II. Anneaux engendrés par les algèbres Łukasiewicziennes tetravalentes centrées’.
Moisil, G. C., (1942c) ‘Contributions a l’étude des logiques non-chrysippiènnes. III. Anneaux engendrés par les algèbres Łukasiewicziennes tetravalentes axèes’.
Moisil, G. C., (1943) ‘Contributions a l’etude des logiques non-chrysippiènnes. I V. Sur la logique de Mr. Becker’.
Moisil, G. C., (1957a) Teoria algebrica dei meccanismi automatici.
Moisil, G. C., (1960a) ‘Sur les idéaux des algèbres Łukasiewicziennes trivalentes’.
Moisil, G. C., (1960b) ‘Asupra logicii lue Bochvar’ (On the Logic of Bochvar).
Moisil, G. C., (1960c) Logica matematica si teknica modernă: logicile cu mai multe valori si circuitele cu contacte di relee ( Mathematical Logic and Modern Technology: Many-valued Logic and Relay-contact Circuits).
Moisil, G. C., (1961a) Les logique a plusieurs valeurs et l’automatique’.
Moisil, G. C., (1961b) ‘The Predicate Calculus in Three-valued Logic’.
Moisil, G. C., (1962b) ‘Sur la logique a trois valeurs de Łukasiewicz’.
Moisil, G. C., (1963a) ‘Le algebre di Łukasiewicz’.
Moisil, G. C., (1964) ‘Sur les logiques de Lukasiewicz a un nombre fini de valeurs’.
Moisil, G. C., (1966) Zastosowanie algebr Łukasiewicza do teorii uktadow przekaźnikowo-stykowych, volume 1 (Applications of Lukasiewiczian Algebra to the Study of Relay-contact Networks, volume 1).
Moisil, G. C., (1967) Zastosowanie algebr Lukasiewicza do teorii układow przékaznikowo-stykowych, volume 2 (Applications of Łukasiewiczian Algebra to the Study of Relay-contact Networks, volume 2).
Moisil, G. C., (1967a) ‘Sur le calcul des propositions de type supérieur dans la logique de Lukasiewicz à plusieurs valeurs’.
Moisil, G. C., (1968) ‘Lukasiewiczian Algebras’.
Moisil, G. C., (1971) ‘Les etats transitoires dans les circuits sequentiels’.
Moisil, G. C., (1972) Essais sur les logiques non-chrysippiennes.
Moisil, G. C., (1972a) ‘Les ensembles flous et la logique a trois valeurs’.
Moisil, G. C., (1972b) ‘Exemples de propositions a plusieurs valeurs’.
Moisil, G. C., (1972c) ‘La logique des concepts nuances’.
Moisil, G. C., (1972d) ‘Le paradoxe du chauve et les logiques a plusieurs valeurs’.
Moisil, G. C., (1972e) ‘Les axiomes de algebres de Lukasiewicz n-valentes’.
Moisil, G. C., (1972f) ‘Sur les algebres de Lukasiewicz 0-valentes’.
Moisil, G. C., (1972g) ‘Sur le calcul des predicats dans la logique a trois valeurs’.
Moklajak, N. G
Moklajak, N. G., (1973) ‘On the Number of Types of Systems of k-valued Logical Functions’ (Russian) (with V. A. Popov and I. T. Skibenko ).
Montgomery, D
Montgomery, D., (1937) ‘A Representation of Generalized Boolean Rings’.
Monteiro, António
Monteiro, A., (1963) ‘Sur la definition des algebres de Łukasiewicz trivalentes’.
Monteiro, A., (1965) ‘Boolean Elements in Łukasiewicz Algebras IF’ (with Roberto Cignoli).
Monteiro, A., (1967) ‘Construction des algèbres de Lukasiewicz trivalentes dans les algèbres de Boole monadiques. I’.
Monteiro, Luiz F. T
Monteiro, L. F. T., (1963) ‘Axiomes independents pour les algèbres de Łukasiewicz trivalentes’.
Monteiro, L. F. T., (1965a) ‘Sur les algèbres de Łukasiewicz injectives’.
Monteiro, L. F. T., (1970) ‘Les algèbres de Heyting et de Lukasiewicz trivalentes’.
Monteiro, L. F. T., (1970a) ‘Extension d’homomorphismes dans les algèbres de Lukasiewicz trivalentes’. Montgomery, Hugh
Monteiro, L. F. T., (1968) ‘On Systems Containing Aristotle’s Thesis’ (with Richard Routley).
Moraga, Claudio
Moraga, C., (1971) ‘A Tri-stable Switching Circuit for Synchronized Sequential Machines’.
Moraga, C., (1972) ‘Non-linear Ternary Threshold Logic’.
Moraga, C., (1973) ‘A Ternary Positional Automatic Control System’ (with R. Bittner).
Moraga, C., (1974) ‘Minimal Realization of Ternary Threshold Functions’ (with Jorge Nazarala).
Moraga, C., (1974a) ‘Critical Races in Fundamental Mode Ternary Sequential Machines’ (with Jorge Gutierrez).
Moraga, C., (1974b) ‘Multithreshold Periodic Ternary Threshold Logic’ (with Jorge Gutierrez).
Morgan, Charles Grady
Morgan, C. G., (1974 abstract) ‘Resolution for Many-valued Logics’.
Morgan, C. G., (197 +) ‘Local and Global Operators and Many-valued Modal Logics’.
Mori, R
Mori, R., (1972) ‘On an Extended Threshold Logic as a Unit Cell of Array Logics’.
Morris, D. J
Morris, D. J., (1960) ‘An Introduction to the Ternary Code Number System’ (with W. Alexander).
Morscher, Edgar
Morscher, E., (1971) ‘A Matrix Method for Deontic Logic’.
Mostowski, Andrzej
Mostowski, A., (1961a) ‘Axiomatizability of Some Many-valued Predicate Calculi’.
Mostowski, A., (1961b) ‘An Example of a Non-axiomatizable Many-valued Logic’.
Motil, John M
Motil, J. M., (1974) ‘A Multiple-valued Digital “Saturation” System’.
Motohashi, Nobuyoshi
Motohashi, N., (1972) ‘Some Investigations on Many Valued Logics’.
Mouftah, H. T
Mouftah, H. T., (1974) ‘Integrated Circuits for Ternary Logic’ (with I. B. Jordan).
Muehldorf, E. I
Muehldorf, E. I., (1958) ‘Ternary Switching Algebras’.
Muehldorf, E. I., (1959) ‘Multivalued Switching Algebras and Their Applications in Digital Systems’.
Muller, H
Muller, H., (1970) ‘Arithmetische Operationen mit binarcodierten Ternarzahlen’ (with H. Haberlin).
Murakami, K
Murakami, K., (1973) ‘Multiple-valued Variable-threshold Threshold Logic and Its Application to the Realization of the Set of Boolean Functions’ (with T. Aibara and Y. Takamatsu).
Murakami, K., (1974) ‘Isobaricity for a Set of Multiple-valued Logical Functions and Its Application to the Synthesis of Multithreshold Elements’ (with Y. Takamatsu and T. Aibara).
Murskij, V. L
Murskij, V. L., (1965) ‘Suščéstvovanié v tréhznačnoj logiké zamknutogo klassa s konéčnym bazisom, né iméúščego konéčnoj polnoj sistémy toždéstv’ ( The Existence in Three-valued Logic of a Closed Class with Finite Basis, Not Having a Finite Complete System of Identities).
Muzio, J. C
Muzio, J. C., (1970) ‘A Decision Process for 3-valued Sheffer Functions. I’.
Muzio, J. C., (1971) ‘A Decision Process for 3-valued Sheffer Functions. II’.
Muzio, J. C., (1972) ‘On the t-closure Condition of Martin’.
Muzio, J. C., (1973) ‘The Cosubstitution Condition’.
Muzio, J. C., (1973a) ‘Some Large Classes of 3-valued Sheffer Functions’.
Muzio, J. C., (1973b) ‘Decomposition of Ternary Switching Functions’.
Muzio, J. C., (1974) ‘A Ternary Cellular Array’.
Nadiu, Gh. S
Nadiu, G. S., (1967) ‘On a Method of Construction of a trivalent Lukasiewicz Algebra’ (Romanian).
Nagaoka, Y
Nagaoka, Y., (1964) ‘Tunnel Diode Circuits for Ternary Logic’ (Japanese) (with Toshiharu Hasegawa and Yoshikazu Tezuka and Yoshiro Kasahara).
Nagata, Shûrô
Nagata, S., (1966) ‘A Series of Successive Modifications of Peirce’s Rule’.
Nagata, S., (1968) ‘Certain Method for Generating a Series of Logics’ (with Satoshi Miura).
Nagle, H. T., Jr
Nagle, H. T., Jr. (1973) ‘An Approach to Multi-valued Sequential Logic’ (with T. A. Irving).
Nagle, H. T., Jr. (1974) ‘On Multiple-valued Memory Elements’ (with S. G. Shiva).
Nakamura, Akira
Nakamura, A., (1962c) ‘Tati ronri to sono kôrikei ni tuite’ (On the Many-valued Logics and an Axiomatic System for Them).
Nakamura, A., (1962-64) ‘Yoso ronri to tati ronri no kanki ni tuite’ (On the Relation Between Modal Logic and Many-valued Logic).
Nakamura, A., (1963c) ‘On a Simple Axiomatic System of the Infinitely Many-valued Logic Based on →’.
Nakamura, A., (1965) ‘On the Infinitely Many-valued Double-threshold Logic’.
Nakanishi, H
Nakanishi, H., (1972) ‘On Cyclic Multilevel Codes’ (with T. Asabe and Yoshikazu Tezuka).
Nakanishi, H., (1972a) ‘Spectral Density of Cyclic Multilevel Code’ (with T. Asabe and Yoshikazu Tezuka).
Nakasima, A
Nakasima, A., (1938) ‘The Theory of Equivalent Transformation of Simple Partial Path in the Relay Circuit’ (with M. Hanzawa).
Nazarala, Jorge
Nazarala, J., (1974) ‘Minimal Realization of Ternary Threshold Function’ (with Claudio Moraga).
Nečiporuk, E. I
Nečiporuk, E. I., (1969) ‘The Topological Principles of Autocorrection’ (Russian).
Nguen Cat-Ho
Nguen C. H., (1972) ‘Generalized Algebras of Post and Their Applications to Infinitely Many-valued Logics with Infinitely Long Formulas’.
Nguen C. H., (1973) ‘Generalized Post Algebras and Their Applications to Some Infinitary Many- valued Logics’.
Nicolau, Edward
Nicolau, E., (1965) ‘Sinetza unei clase di automate care modeleazá operatori in logica n-valentă cu functii de timp date’.
Noguchi, S
Noguchi, S., (1973) ‘Ternary Threshold Logic Networks Realizing Three-valued Multithreshold Functions’ (with A. Imamiya and J. Oizumi).
Nomura, Nirosato
Nomura, N., (1969) ‘The Characterizing Parameters of Ternary Logical Functions and Their Applications to Threshold Logic’ (with Tadahiro Kitahashi and Yoshikazu Tezuka and Yoshiro Kasahara).
Nomura, N., (1970) ‘Monotonicity of Ternary Logical Functions and Its Applications to the Analysis of Ternary Threshold Functions’ (Japanese) (with Tadahiro Kitahashi and Yoshikazu Kasahara and Yoshiro Kasahara).
Nomura, N., (1972) ‘Learning of the Multi-thresh old Function and Its Application to the Synthesis of Logical Function’.
Nomura, N., (1972a) ‘Some Properties of Monotonicity on Many-valued Logic and Their Applications to the Analysis of Many-valued Threshold Functions’.
Nomura, N., (1973) ‘Characteristics Vectors of Many-valued Logical Functions and Their Applications to the Realization of Many-valued Threshold Functions’.
Nutter, R. S
Nutter, R. S., (1971) ‘A Ternary Logic Minimization Technique’ (with Richard E. Swartwout).
Nutter, R. S., (1972) ‘The Algebraic Simplification of a Ternary Full Adder’.
O’Carroll, M. J
O’Carroll, M. J., (1967) ‘A Threevalued Non-levelled Logic Consistent for All Self-reference’.
Ockham, William
Ockham, W., (1969) Predestination, God’s Foreknowledge and Future Contingents.
Ohba, R
Ohba, R., (1968) ‘Some Properties of Mutually Connected Threshold Elements’.
Ohya, Takemasa
Ohya, T., (1968) ‘Many-valued Logics Extended to Simple Type Theory’.
Oizumi, J
Oizumi, J., (1973)‘Ternary Threshold Logic Networks Realizing Three-valued Multithreshold Functions’.
Ojala, L
Ojala, L., (1972) ‘Some Applications of Many-valued Threshold Logic in Digital Arithmetic’ (with H. Koukunen).
Ojala, L., (1972a) ‘Design of A/D Converters for Binary Coded Ternary Systems’ (with P. Yrjola).
Ojala, L., (1973) ‘Design of Incremental Signal Processing Devices Using Binary Coded Ternary Logic’ (with P. Yrjola).
Ono, Hiroakira
Ono, H., (1970) The Intermediate Logics on the Second Slice (with Tsutomu Hosoi).
Ono, H., (1971) ‘Kripke Models and Intermediate Logics’.
Ono, H., (1971–72)‘On the Finite Model Property for Kripke Models’.
Ono, H., (1972) ‘Some Results on the Intermediate Logics’.
Ono, H., (197+) ‘Intermediate Propositional Logics (A Survey)’.
Ono, Katuzi
Ono, K., (1968) ‘A Remark on Peirce’s Rule in Many-valued Logics’.
Orłowska, E
Orłowska, E., (1967) ‘Mechanical Proof Procedure for the n-valued Propositional Calculus’.
Orsic, M
Orsic, M., (1972) ‘Multiple-valued Universal Logic Modules’.
Orsic, M., (1973) ‘Incremental Curve Generator Using Multiple-valued Logic’.
Ostapko, Daniel L
Ostapko, D. L., (1974) ‘A Practical Approach to Two-level Minimization of Multivalued Logic’.
Ovsievic, B. L
Ovsievic, B. L., (1965) ‘Some Properties of Symmetric Functions of the Three-valued Logic’ (Russian).
Page, E. W
Page, E. W., (1972) ‘Extension of the Boolean Difference Concept to Multivalued Logic Systems’ (with N. Bell and M. G. Thomason).
Pahi, Biswambhar
Pahi, B., (1966) Studies in Implicational Calculi.
Pahi, B., (1966a abstract) ‘On the Non-existence of Finite Characteristic Matrices for Some Implicational Calculi’.
Pahi, B., (1971) ‘Some Results on Generalized Truth-tables’ (with Ralph C. Apple bee).
Pahi, B., (1972) ‘Maximal Full Matrices’.
Pahi, B., (1972a) ‘A Method for Proving the Non-existence of Finite Characteristic Models for Implicational Calculi’.
Pahi, B., (1973) ‘Necessity and Some Non-modal Propositional Calculi’.
Pahi, B., (1974) ‘On the Non-existence of Finite Characteristic Models for Some Classes of Implicational Calculi’.
Pannier, Robert A
Pannier, R. A., (1970 abstract) ‘Axiomatic Systems and m-valued Calculi’.
Parks, Ralph Zane, Jr
Parks, R. Z., Jr. (1971) The Mystery of Phi and Psi.
Parks, R. Z., Jr. (1972) ‘A Note on R-mingle and Sobociński’s Three-valued Logic’.
Parks, R. Z., Jr. (1972a) ‘Necessity and Ticket Entailment’ (with John R. Chidgey).
Parks, R. Z., Jr. (1972b) ‘Dependence of Some Axioms of Rose’.
Parks, R. Z., Jr. (1972c) ‘Independent Axioms for the Implicational Fragments of Sobocinski’s Three-valued Logic’ (with Robert K. Meyer).
Pascual, M
Pascual, M., (1965) ‘A Ternary Storage Element Using a Conventional Ferrite Core’ (with J. Santos and H. Arango).
Pascual, M., (1966) ‘Threshold Implementation of Ternary Systems’ (with H. Arango and M. E. Valentinuzzi and J. Santos).
Pascual, M., (1970) ‘A Cyclic Algebra for the Synthesis of Ternary Digital Systems’ (with J. Santos and H. Arango and G. Roing).
Patt, Y. N
Patt, Y. N., (1972) ‘Toward a Characterization of Logically Complete Switching Functions in k-valued Logic’ (with G. A. Cooper).
Patzig, Günther
Patzig, G., (1973) ‘Aristotle, Lukasiewicz and the Origins of Many-valued Logic’.
Perkowska, Eleonora
Perkowska, E., (1971) ‘Herbrand Theorem for Theories Based on m-valued Logics’.
Perkowska, E., (1972) ‘On Algorithmic M-valued Logic’. (1972a) ‘On Algorithmic m-valued Logics’.
Perlis, A. J
Perlis, A. J., (1959) ‘A Visit to Computation Centers in the Soviet Union’ (with J. W. A. Carr I II, J. E. Robertson and N. R. Scott ).
Petcu, Alexandru
Petcu, A., (1968) ‘The Definition of the Trivalent Lukasiewicz Algebras by Three Equations’.
Pichat, E
Pichat, E., (1973) ‘Minimal Representation of a Function of Several Finite Variables—Applications to Data Bank’ (with A. Cabanes).
Piesch, H
Piesch, H., (1939) ‘Begriff der allgemeinen Schaltungstechnik’.
Pinkava, V
Pinkava, V., (1971) ‘Logical Models of Sexual Deviations’.
Pitts, W. S
Pitts, W. S., (1943) ‘A Logical Calculus of the Ideas Immanent in Nervous Activity’ (with W. S. McCulloch).
Pogorzelski, Witold A
Pogorzelski, W. A., (1966) ‘Nota o modelach dwuwartościowej logiki implikacyjno-negacynej w wielo- wartosciowych logikach Łukasiewicza’.
Pohm, A
Pohm, A., (1960) ‘Some Applications of Magnetic Film Parameters as Logical Devices’ (with R. Schaver and R. Stewart and A. Reid).
Popov, V. A
Popov, V. A., (1973) ‘On the Number of Types of Systems of k-valued Logical Functions’ (Russian) (with I. T. Skibenko and N. G. Molkljak ).
Popovici, Nicolae
Popovici, N., (1968) ‘On the Consensus Theory for the Trivalent Argument Functions’.
Porat, D. I
Porat, D. I., (1969) ‘Three-valued Digital Systems’.
Porębska, M. T
Porębska, M. T., (1974) ‘A Characterization of Fragments of the Intuitionistic Propositional Logic’ (with Andrzej Wronski).
Porus, V. N
Porus, V. N., (1973) ‘On an Analytic Manner of Presentation of Many-valued Matrices’ (Russian).
Pöschel, R
Pöschel, R., (1973) ‘Postsche Algebren von Funktionen uber einer Familie endlicher Mengen’.
Pöschel, R., (1973a) ‘Postsche Algebren von Funktionen uber einer Familie endlicher Mengen’.
Pospelov, D. A
Pospelov, D. A., (1969) ‘Introduction to Many-valued Logics’ (Russian) (with Ju. L. Ivas’kiv and Ž. Tošič).
Pradhan, Dhiraj K
Pradhan, D. K., (1974) ‘A Multivalued Switching Algebra Based on Finite Fields’.
Preparata, F. P
Preparata, F. P., (1971) ‘On a Theory of Continuously Valued Logic’ (with R. T. Yeh).
Preparata, F. P., (1972) ‘Continuously Valued Logic’ (with R. T. Yeh).
Prior, Arthur Norman
Prior, A. N., (1959) ‘Notes on a Group of New Axiom Systems’.
Prior, A. N., (1963a) ‘The Theory of Implication’.
Prior, A. N., (1964) Axiomatisations of the Modal Calculus Q
Prior, A. N., (1967) ‘Logic, Many-valued’.
Programming Research Group
Programming Research Group (1954) ‘Preliminary Report, Specifications for the IBM Mathematical FORmula TRANslating System, FORTRAN’.
Prost, K
Prost, K., (1973) ‘Threshold Logic Multiplier’ (with D. Hampel and L. Micheel).
Prucnal, Tadeusz
Prucnal, T., (1966) ‘A Proof of Completeness of the Three-valued C-N Sentential Calculus of Łukasiewicz’.
Prucnal, T., (1967) ‘Some Remarks on Three-valued Logic of J. Łukasiewicz’ (with Jerzy Shipecki and G. Bryll).
Prucnal, T., (1967a) ‘A Proof of the Axiomatizability of Łukasiewicz’s Three-valued Implicational Propositional Calculus’ (Polish).
Prucnal, T., (1974) ‘Interpretations of Classical Implicational Sentential Calculus in Nonclassical Implicational Calculi’.
Purtill, Richard L
Purtill, R. L., (1970) ‘Four-valued Tables and Modal Logic’.
Putnam, Hilary
Putnam, H., (1957) Eine Unableitbarkeitsbeweisemethode für den intuitionistischen Aussagenkalkül (with George Kreisel).
Putnam, H., (1969) ‘Is Logic Empirical?’.
Quine, Willard Van Orman
Quine, W. O. Van (1970) Philosophy of Logic.
Rabinowicz, Z. L
Rabinowicz, Z. L., (1963) ‘A Class of Canonical Forms for the Representation of 3-valued Functions’ (with Yu. L. Ivas’kiv).
Raca, M. F
Raca, M. F., (1965) ‘Class of Logic Functions Corresponding to the First Matrix of Jaśkowski’ (Russian).
Raca, M. F., (1966) A Criterion of Functional Completeness in Logic Corresponding to the First Jaskowski Matrix’ (Russian).
Raca, M. F., (1969) ‘The Class of Functions of Three-valued Logic that Corresponds to the First Matrix of Jaśkowski’ (Russian).
Raca, M. F., (1970) ‘Functional Completeness in Certain Logics that are Intermediate Between the Classical and Intuitionistic Ones’ (Russian).
Rasiowa, Helena
Rasiowa, H., (1969) ‘A Theorem on the Existence of Prime Filters in Post Algebras and the Completeness Theorem for Some Many-valued Predicate Calculi’.
Rasiowa, H., (1970) ‘Ultraproducts of m-valued Models and a Generalization of the Löwenheim- Skolem-Gödel-Malcev Theorem for Theories Based on m-valued Logics’.
Rasiowa, H., (1972) ‘The Craig Interpolation Theorem for m-valued Predicate Calculi’.
Rasiowa, H., (1972a) ‘On Logical Structure of Programs’.
Rasiowa, H., (1973) On a Logical Structure of Mixed-valued Programs and the ω+-valued Algorithmic Logic.
Rasiowa, H., (1973a) ‘On Generalized Post Algebras of Order w+ and co + -valued Predicate Calculi’.
Rasiowa, H., (1974) An Algebraic Approach to Non-classical Logics.
Rasiowa, H., (197 +) ‘Post Algebras as a Semantic Foundation of Many-valued Logics’.
Reichbach, Juliusz
Reichbach, J., (1963) ‘About Connection of the First-order Functional Calculus with Many-valued Propositional Calculi’.
Reichbach, J., (1967) Boolean Many Valued Calculi with Quantifiers and a Homogeny Proof of Gödel- Skolem-Low enheim-Her brand’s Theorems.
Reichbach, J., (1974) ‘Partitions in Decidability and Generalized Models with Many Valued Codes’.
Reid, A
Reid, A., (1960) ‘Some Applications of Magnetic Film Parameters as Logical Devices’ (with R. Schauer and R. Stewart and A. Pohm).
Rennie, Malcolm K
Rennie, M. K., (1970) Semantics for RKt.
Rescher, Nicholas
Rescher, N., (1963) ‘A Probabilistic Approach to Modal Logic’.
Rescher, N., (1968) Topics in Philosophical Logic.
Rescher, N., (1969) Many-valued Logic.
Rescher, N., (1969a abstract) ‘Autodescriptive Systems of Many-valued Logic’.
Rine, David C
Rine, D. C., (1792) ‘A Proposed Multi-valued Extension to ALGOL 68’.
Rine, D. C., (1972a) ‘A Proposed Multi-valued Extension to ALGOL 68’.
Rine, D. C., (1973) ‘Basic Concepts of Multiple-discrete Valued Logic and Decision Theory’.
Rine, D. C., (1973a) ‘Conditional and Post Algebra Expressions’.
Rine, D. C., (1974) ‘There is More to Boolean Algebra than You Would Think’.
Rine, D. C., (1974a) ‘The Development of Multiple-valued Logic as Related to Computer Science’ (with George Epstein and Gideon Frieder).
Rine, D. C., (1974b) ‘Multiple-valued Logic and Computer Science in the 20th Century’. (1974c) ‘A Summary of the Development of Multiple-valued Logic as Related to Computer Science’ (with George Epstein and Gideon Frieder).
Rinon, S
Rinon, S., (1964) ‘Application of Ternary Algebra to the Study of Static Hazards’ (with Michael Yoeli).
Robertson, J. E
Robertson, J. E., (1959) ‘A Visit to Computation Centers in the Soviet Union’ (with J. W. A. Carr III and A. J. Perlis and N. R. Scott).
Rockingham Gill, Rowan R
Rockingham G. R. R., (1970) ‘The Craig-Lyndon Interpolation Theorem in 3-valued Logic’.
Roesser, R
Roesser, R., (1971) ‘Multiple-real-valued Walsh Functions’ (with M. Liebler).
Roesser, R., (1972) ‘Multivalued Logic Techniques for Optical Computers’.
Roghinski, V. I
Roghinski, V. I., (1961) ‘Réléjnye shémy i mnogoznacinaa logika’ ( Relay Networks and Many-valued Logics’) (with T. D. Majstrova).
Roing, G
Roing, G., (1970) ‘A Cyclic Algebra for the Synthesis of Ternary Digital Systems’ (with J. Santos and H. Arango and M. Pascual).
Romov, B. A
Romov, B. A., (1969) Galois Theory for Post Algebras. I, IF (Russian) (with V. G. Bodnarcuk and L. A. Kalužnin and B. A. Romov ).
Romov, B. A., (1971) ‘On Uniprimitive Bases of Maximal Post Subalgebras’ (Russian).
Rose, Alan
Rose, A., (1956b) ‘Formalisations du calcul propositionnel implicatif a N0-valeurs de Lukasiewicz’.
Rose, A., (I962g) ‘Remarque sur la machine universelle de Turing’.
Rose, A., (1963) ‘A Formalisation of the Propositional Calculus Corresponding to Wang’s Calculus of Partial Predicates’.
Rose, A., (1964a) ‘Formalisations de calculs propositionnels polyvalents à foncteurs variables’.
Rose, A., (1965) ‘A Formalisation of Post’s m-valued Propositional Calculus with Variable Functors’.
Rose, A., (1966 abstract) ‘A Formalisation of an Infinite-valued Propositional Calculus in Which the Truth-values are Lattice Ordered’.
Rose, A., (1966a) ‘A Formalisation of the m-valued Lukasiewicz Implicational Propositional Calculus with Variable Functors’.
Rose, A., (1966b) ‘Formalisation d’un calcul propositionnel a un nombre infini de valeurs, lesquelles forment un treillis’.
Rose, A., (1966c) ‘Formalisation de certains calculs propositionnels polyvalents a foncteurs variables au cas certaines valeurs sont surdesignees’.
Rose, A., (1966-68) ‘An Algebraic Model of the m-valued Propositional Calculus With Variable Functors’.
Rose, A., (1967) ‘A Formalisation of the K0-valued Propositional Calculus With Variable Functors’.
Rose, A., (1967a) ‘A Formalisation of the N0-valued Lukasiewicz Implicational Propositional Calculus With Variable Functors’.
Rose, A., (1967b) ‘A Formalisation of the m-valued Lukasiewicz Propositional Calculus With Super-designated Truth-values’.
Rose, A., (1967c) ‘Nouveau calcul de non-contradiction’.
Rose, A., (1967d) Nouveau calcul de non-contradiction (methode alternative).
Rose, A., (1968a) ‘Binary Generators for the m-valued and N-valued Lukasiewicz Propositional Calculi’.
Rose, A., (1968b) ‘Formalisations of Some N0-valued Łukasiewicz Propositional Calculi’.
Rose, A., (1969) ‘Single Generators for Henkinian Fragments of the 2-valued Propositional Calculus’.
Rose, A., (1969a) ‘Nouvelle formalisations du calcul propositionnel a K0 valeurs de Lukasiewicz dans le cas ou il y a des foncteurs variables’.
Rose, A., (1969b) ‘Some Many-valued Propositional Calculi Without Single Generators’.
Rose, A., (1969c) ‘Sur les elements universels trivalentes de decision’.
Rose, A., (1969d) ‘The Degree of Completeness for the m-valued Łukasiewicz Propositional Calculus, Correction and Addendum’.
Rose, A., (1971) ‘Note sur la formalisation des calculs propositionnels polyvalent’.
Rose, A., (1971a) ‘Sur certains foncteurs à m arguments des calculs propositionnels à m valeurs’.
Rose, A., (1972) ‘Locally Full K0-valued Propositional Calculi’.
Rose, A., (1973) ‘Sur certains “Erweiterter Aussagenkalkiil” dont le seul quantificateur primitif constitue son dual’.
Rose, A., (1973a) Note sur 1 “Erweiterter Aussagenkalkiil” ayant un seul quantificateur primitif.
Rosenberg, Ivo G
Rosenberg, I, G., (1965) ‘La structure des fonctions de plusieurs variables sur un ensemble fini’.
Rosenberg, I, G., (1969) ‘Uber die Verschiedenheit maximaler Klassen in Pk.’
Rosenberg, I, G., (1970) ‘Complete Sets for Finite Algebras’.
Rosenberg, I, G., (1974) ‘Completeness, Closed Classes and Relations in Multiple-valued Logics’.
Rosenberg, James
Rosenberg, J., (1969) ‘The Application of Ternary Semigroups to the Study of n-valued Sheffer Functions’.
Rosenfeld, G
Rosenfeld, G., (1965) ‘Logical Design of Ternary Switching Circuits’ (with Michael Yoeli).
Rousseau, George H
Rousseau, G. H., (1967) ‘Sequents in Many-valued Logic I’.
Rousseau, G. H., (1967a) ‘Correction to “Sequents in Many-valued Logic I’”.
Rousseau, G. H., (1968) ‘Note on a Problem of Porte’.
Rousseau, G. H., (1969) ‘Logical Systems with Finitely Many Truth-values’.
Rousseau, G. H., (1970) ‘Sequents in Many-valued Logic II’.
Rousseau, G. H., (1970a) ‘Post Algebras and Pseudo-Post Algebras’.
Routley, Richard
Routley, R., (1966) ‘On a Significance Theory’.
Routley, R., (1968) ‘On Systems Containing Aristotle’s Thesis’ (with Hugh Montgomery).
Routley, R., (1969) ‘The Need for Nonsense’.
Routley, R., (1969a) ‘Categories—Expressions or Things?’ (with Valerie Routley).
Routley, R., (1971) ‘Domainless Semantics for Free Quantification and Significance Logics’.
Routley, R., (1973) The Logic of Significance and Context. Volume 1 (with Leonard Goddard).
Routley, R., (1973a) ‘Don’t Care Was Made to Care’ (with Ross T. Brady).
Routley, R., (197 +) ‘Universal Semantics?’.
Routley, R., (197 + a) ‘No Rational Sentential Logic Has a Finite Characteristic Matrix’.
Routley, Valerie
Routley, V., (1969) ‘Categories—Expressions or Things?’.
Rowe, I
Rowe, I., (1972) ‘The Generation of Gaussian-distributed Pseudorandom Noise Sequences from Multiple-valued Logic’.
Ruzsa, Imre
Ruzsa, I., (1969) ‘Random Models of Logical Systems. I: Models of Valuing Logics’.
Ruzsa, I., (1970) ‘Random Models of Logical Systems. II: Models of Some Modal Logics’.
Ruzsa, I., (1973) ‘Prior-type Modal Logic I’.
Ruzsa, I., (1973a) ‘Prior-type Modal Logic II’.
Rvačov, V. L
Rvačov, V. L., (1967) ‘Some Functionally Closed Classes of Functions in k-valued Logic’ (Russian) (with L. Ī. Škljarov).
Rvačov, V. L., (1968) ‘Rk-functions’ (Ukrainian) (with L. Ī. Škljarov).
Rvačov, V. L., (1971) ‘A Certain Extension of the Concept of R-function’ (Russian).
Ryoichi, T
Ryoichi, T., (1954) ‘On Nine-valued Propositional Calculus’.
Sade, Albert
Sade, S., (1969) ‘Fonctions propositionnelles monadiques dans la logique trivalente’.
Sade, S., (1969a) ‘Algèbre de Łukasiewicz dans la logique trivalente’.
Sade, S., (1969b) ‘Sur le premier système de Lukasiewicz’. Sadowski, Wactow
Sade, S., (1964) ‘Dowod aksjomatyzowalności pewnych n-wartościowych rachunkow’ (Proof of Axiomatizability of Certain n-valued Propositional Calculi).
Salomaa, Arto
Salomaa, A., (I960) ‘A Theorem Concerning the Composition of Functions of Several Variables Ranging Over a Finite Set’.
Salomaa, A., (1960a) ‘On the Composition of Functions of Several Variables Ranging Over a Finite Set’.
Salomaa, A., (1962) ‘Some Completeness Criteria for Sets of Functions Over a Finite Domain, I’.
Salomaa, A., (1963) ‘Some Analogues of Sheffer Functions in Infinite-valued Logics’.
Salomaa, A., (1963a) On Essential Variables of Functions, Especially in the Algebra of Logic.
Salomaa, A., (1963b) On Basic Groups for the Set of Functions Over a Finite Domain.
Salomaa, A., (1963c) ‘Some Completeness Criteria for Sets of Functions Over a Finite Domain, II’.
Salomaa, A., (1974) ‘Some Remarks Concerning Many-valued Propositional Logics’. Saloni, Zygmunt
Salomaa, A., (1972) ‘Gentzen Rules for the m-valued Logic’.
Salomaa, A., (1973) ‘The Sequent Gentzen System for m-valued Logic’.
Salter, F
Salter, F., (1964) ‘A Ternary-memory Element Using a Tunnel Diode’.
Santos, J
Santos, J., (1964) ‘On the Analysis and Synthesis of 3-valued Digital Systems’ (with H. Arango).
Santos, J., (1965) ‘A Ternary Storage Element Using a Conventional Ferrite Core’ (with H. Arango and M. Pascual).
Santos, J., (1966) ‘Threshold Implementation of Ternary Systems’ (with H. Arango and M. Pascual and M. E. Valentinuzzi).
Santos, J., (1970) ‘A Cyclic Algebra for the Synthesis of Ternary Digital Systems’ (with H. Arango and M. Pascual and G. Roing).
Sarris, Achilles A
Sarris, A. A., (1972) ‘The Relationship Between Multivalued Switching Algebra and Boolean Algebra Under Different Definitions of Complement’ (with Stephan Y. H. Su).
Sarris, A. A., (1975) ‘Authors’ Reply’ (with Stephan Y. H. Su).
Savicka, Halina
Savicka, H., (1971) ‘On Some Properties of Generalized Post Algebras’.
Savicka, H., (1972) ‘On Some Properties of Post Algebras with Countable Chain of Constants’.
Scharle, Thomas W
Scharle, T. W., (1971 abstract) ‘Completeness of Many-valued Protothetic’.
Schauer, R
Schauer, R., (1960) ‘Some Applications of Magnetic Film Parametrons as Logical Devices’ (with R. Stewart and A. Pohm and A. Reid).
Schock, Rolf
Schock, R., (1964a) ‘On Finitely Many-valued Logics’.
Schock, R., (1964b) ‘On Denumerably Many-valued Logics’.
Schock, R., (1965) ‘Some Theorems on the Relative Strengths of Many-valued Logic’. Schofield, Peter
Schock, R., (1964) ‘On a Correspondence Between Many-valued and Two-valued Logics’.
Schock, R., (1966) ‘Complete Subsets of Mappings Over a Finite Domain’.
Schock, R., (1969) ‘Independent Conditions for Completeness of Finite Algebras With a Single Generator’.
Schott, Hermann F
Schott, H. F., (1970) ‘Generalizability of the Propositional and Predicate Calculi to Infinite-valued Calculi’.
Schröter, Karl
Schröter, K., (1955) ‘Methoden zu Axiomatisierung beliebiger Aussagen- und Prädikatenkalkiile’.
Schuh, Edward
Schuh, E., (1973) ‘Many-valued Logics and the Lewis Paradoxes’.
Schumm, George F
Schumm, G, F., (1969) ‘On Some Open Questions of B. Sobocinski’.
Schwartz, J. T
Schwartz, J. T., (1972) ‘On Programming an Interim Report on the SETL Project’.
Scott, Dana
Scott, D., (1973) ‘Background to Formalization’.
Scott, D., (197 +) ‘Completeness and Axiomatizability in Many-valued Logic’.
Scott, N. R
Scott, N. R., (1959) ‘A Visit to Computation Centers in the Soviet Union’ (with J. W. Carr I II, Alan J. Perlis and J. E. Robertson ).
Scroggs, Schiller Joe
Scroggs, S. J., (1951) ‘Extensions of the Lewis System S5.’
Sebastian, P
Sebastian, P., (1972) ‘Ternary Logic in Arithmetic Units’ (with Zvonko G. Vranesic).
Sedra, A. S
Sedra, A. S., (1973) ‘Multi-threshold Circuits in the Design of Multi-state Storage Elements’ (with A. Druzeta).
Sedra, A. S., (197 +) ‘Application of Multi-threshold Elements in the Realization of Many-valued Logic Networks’ (with Zvonko G. Vranesic and A. Druzeta).
Seeskin, Kenneth R
Seeskin, K. R., (1971) ‘Many-valued Logic and Future Contingencies’.
Seeskin, K. R., (1974) ‘Some Remarks on Truth and Bivalence’.
Segerberg, Krister
Segerberg, K., (1965) ‘A Contribution to Nonsense-logic’.
Segerberg, K., (1967) ‘Some Modal Logics Based on a Three-valued Logic’. Setlur, Rangaswamy V.
Segerberg, K., (1971) ‘Duality in Finite Many-valued Logic’.
Segerberg, K., (1974) ‘Multi-valued Algebraic Generalizations of Reed-Muller Canonical Forms’ (with K. L. Kodandapani).
Serfati, Michel
Serfati, M., (1973) ‘Sur les polynomes postiens’.
Sette, A. M
Sette, A. M., (1971) On the Propositional Calculus P1.
Šeinbergas, I. M
Šeinbergas, I. M., (1970) ‘Simple Bases and the Number of Functions in Certain Post Classes’.
Shen, Stewart N. T
Shen, S. N. T., (1974) ‘On the Boolean Functions Over 4-element Boolean Algebra’ (with Andy N. C. Kang).
Šeper, Kajetan
Šeper, K., (1971) ‘A Decision Problem Concerning Autoduality in k-valued Logic’.
Sheppard, D. A
Sheppard, D. A., (1973) ‘An Application of Many-valued Logic to Fault Detection’.
Shestakov, V. I
Shestakov, V. I., (1941) Algébra dvujpolúsnyh shém, postroénnyh isklúčitel–no iz dvuhpolúsnikov (Algébra A-shem).
Shestakov, V. I., (1960b) ‘O dvojnoj arifmétičéskoj intérpretacii tréhznačnogo isčislénia vyskazyvanij ispol’zvemoj pri modélirovanii etogo isčislénia posrédstvom réléjno-kommutatornyh shém’ (A Dual Arithmetic Interpretation of the 3-valued Propositional Calculus Utilized in the Simulation of This Calculus by Relay-contact Networks).
Shestakov, V. I., (1964) ‘On the Relationship Between Certain Three-valued Logical Calculi’ (Russian). Shimada, Ryosaku
Shestakov, V. I., (1970) ‘Permutations and Lattice Operations in Many Valued Logic’ (Japanese) (with Hisashi Mine).
Shestakov, V. I., (1971) ‘Four Ternary Arithmetic Operations’ (with Hisashi Mine and Toshiharu Hasegawa).
Shinahr, Ieka
Shinahr, I., (1967) ‘Groups Functions and Multi-valued Cellular Cascades’ (with Michael Yoeli).
Shintani, T
Shintani, T., (1969) ‘Construction and Analysis of a Tri-stable Circuit and Its Application to Ternary Feedback Shift Register’ (with Hisashi Mine and Toshiharu Hasegawa and Yoshiahi Koga and M. Ideda).
Shiva, S. G
Shiva, S. G., (1974) ‘On Multiple-valued Memory Elements’.
Shoesmith, D. J
Shoesmith, D. J., (1971) ‘Deducibility of Many-valuedness’ (with Timothy J. Smiley).
Shoesmith, D. J., (1973 abstract) ‘Proofs With Multiple Conclusions’ (with Timothy J. Smiley).
Shukla, Anjan
Shukla, A., (1969) ‘A Note on Independence’.
Sicoe, Corneliu O
Sicoe, C. O., (1966) ‘Elements strict chrysippiene in algebre lukasiewiczienne polivalente’ (Strict Chrysippian Elements in Polyvalent Lukasiewicz Algebras).
Sicoe, C. O., (1967) ‘Sur les idéaux des algèbres lukasiewiciennes polyvalentes’.
Sicoe, C. O., (1967a) ‘On Many-valued Łukasiewicz Algebras’.
Sicoe, C. O., (1967b) ‘A Characterization of Lukasiewiczian Algebra I’.
Sicoe, C. O., (1967c) ‘A Characterization of Lukasiewiczian Algebra II’.
Sicoe, C. O., (1967d) ‘Note supra algebrelor Lukasiewiczienne polivalente’.
Sicoe, C. O., (1968) ‘Sur la définition des algèbres lukasiewicziennes polyvalentes’.
Singer, F. Richard
Singer, F. R., (1967) ‘Some Sheffer Functions for m-valued Logics’.
Singh, Inder
Singh, I., (1974) ‘Extensions of the Weiner-Smith Algorithm for m-ary Synchronous Sequential Circuit Design’ (with J. F. McDonald).
Sintonen, L
Sintonen, L., (1972) ‘On the Realization of Functions in n-valued Logic’.
Siosen, Frederic M
Siosen, F. M., (1965) ‘A Characterization of the Tautologies in the Many-valued Propositional Calculus’ (Spanish).
Skibenko, I. T
Skibenko, I. T., (1973) ‘On the Number of Types of Systems of k-valued Logical Functions’ (Russian) (with V. A. Popov and N. G. Moklajak ).
Škljarov, L. Ī
Škljarov, L. Ī., (1967) ‘Some Functionally Closed Classes of Functions in k-v alued Logic’ (Russian) (with V. L. Rvaćov).
Rk-functions’ (Ukrainian) (with V. L. Rvaćov).
Skolem, Thoralf
Skolem, T., (1929) ‘Über einige Grundlagenfragen der Mathematik’.
Skolem, T., (1957a) ‘Mengenlehre gegriindet auf einer Logik mit unendlich vielen Wahrheitswerten’.
Skolem, T., (1957b) ‘Bemerkungen zum Komprehensionsaxiom’.
Skolem, T., (1960) ‘A Set Theory Based on a Certain 3-valued Logic’.
Skolem, T., (1970) Selected Works in Logic.
Skyrms, Brian T
Skyrms, B. T., (1970) ‘Return of the Liar: Three-valued Logic and the Concept of Truth’.
Skyrms, B. T., (1970a) ‘Notes on Quantification and Self-reference’.
Słupecki, Jerzy
Słupecki, J., (1967) ‘Some Remarks on Three-valued Logic of J. Łukasiewicz’ (with G. Bryll and Tadeusz Prucnal).
Słupecki, J., (1971) ‘Proof of Axiomatizability of Full Many-valued Systems of Calculus of Propositions’.
Słupecki, J., (1972) ‘A Criterion of Fullness of Many-valued Systems of Propositional Logic’.
Smiley, Timothy John
Smiley, T. J., (1961) ‘On Łukasiewicz’s Ł-modal System’.
Smiley, T. J., (1971) ‘Deducibility and Many-valuedness’ (with D. J. Shoesmith).
Smiley, T. J., (1973 abstract) ‘Proofs With Multiple Conclusions’ (with D. J. Shoesmith).
Smith, Kenneth C
Smith, K.C., (1970) ‘A Many-valued Algebra for Switching Systems’ (with Zvonko G. Vranesic and E. S. Lee).
Smith, K.C., (1971) ‘Circuit Implementations of Multivalued Logic’ (with Zvonko G. Vranesic and L. Janczewski).
Smith, K.C., (1974) ‘Engineering Aspects of Multi-valued Logic Systems’ (with Zvonko G. Vranesic).
Smith, K.C., (1974a) ‘Electronic Implementation of Multi-valued Logic Networks’ (with Zvonko G. Vranesic and A. Druzeta).
Smith, William R., III
Smith, W. R., III (1972) ‘Some Algebraic Properties and Minimization Techniques for Multi-valued Lattice Logics’.
Smith, W. R., III (1974) ‘Minimization of Multivalued Functions’.
Snelsire, R. W
Snelsire, R. W., (1968) Final Report on the Design of Multiple-valued Logic Systems (with Donald D. Givone).
Sobocinski, Boleslaw
Sobocinski, B., (1964) ‘On the Propositional System A of Vučković and Its Extension. I.’
Sobocinski, B., (1964a) ‘On the Propositional System A of Vučković and Its Extension. IF.’
Sokolov, V. A
Sokolov, V. A., (1971) ‘Remarks on the Class of Partial Functions of Countably-valued Logic’ (Russian).
Soloduhin, Ju. N
Soloduhin, J. N., (1970) ‘A Concept of Function-analogue and a Criterion for Functional Incompleteness of Systems of Many-valued Logic’ (Russian).
Sosinskiĭ, L. M
Sosinskiĭ, L. M (1964) ‘On the Representation of Functions by Irreversible Superpositions in Three- valued Logic’ (Russian).
Spade, Paul Vincent
Spade, P. V., (197 +) ‘An Alternative to Brian Skyrms Approach to the Liar’.
Spasowski, Maciej
Spasowski, M., (1972) ‘Dual Counterparts of Łukasiewicz Sentential Calculi’ (with Grzegorz Malinowski).
Spasowski, M., (1974) ‘Dual Counterparts of Lukasiewicz’s Sentential Calculi’ (with Grzegorz Malinowski).
Stewart, R
Stewart, R., (1960) ’Some Applications of Magnetic Film Parametrons as Logical Devices’ (with R. Schauer and A. Pohm and A. Reid).
Stiver, James LeRoy
Stiver, J. L. R. (1972) Presupposition, Implication, and Necessitation: A Critique of and Alternative to van Fraassen’s Presuppositional Logic.
Stojaković, M
Stojaković, M., (1966) ‘Matrizeninversion in der algebraischen Theorie der Wahrheitsfunktionen der mehrwertigen Logik’.
Stojaković, M., (1972) ‘On the Exponential Properties of the Implication’.
Strasilla, Udo J
Strasilla, U, J., (1974) ‘A Multiple-valued Memory System Using Capacitor Storage’.
Su, Stephan Y. H
Su, S. Y. H., (1971) ‘Algebraic Properties of Multi-valued Symmetric Switching Functions’ (with Peter T. Cheung).
Su, S. Y. H., (1971a) ‘Computer-oriented Algorithm for Minimizing Multi-valued Switching Functions’ (with Peter T. Cheung).
Su, S. Y. H., (1972) ‘The Relationship Between Multivalued Algebra and Boolean Algebra Under Different Definitions of Complement’ (with Achilles A. Sarris).
Su, S. Y. H., (1972a) ‘Computer Minimization of Multi-valued Switching Functions’ (with Peter T. Cheung).
Su, S. Y. H., (1974) ‘Application of a Multivalued Gate to the Design of Fault-tolerant Digital Systems’ (with Edgar G. DuCasse).
Su, S. Y. H., (1975) ‘Authors’ Reply’ (with Achilles A. Sarris).
Suchoń, Wojciech
Suchoń, W., (1972) ‘On Non-equivalence of Two Definitions of the Algebras of Łukasiewicz’.
Suchoń, W., (1972a) ‘Non-equivalence of Certain Definitions of Infinite Łukasiewicz Algebras’.
Suchoń, W., (1972b) ‘Inéquivalence des deux définitions des algèbres de Łukasiewicz’.
Suchoń, W., (1973) ‘Application of the Theory of Logical Matrices in the Independence Proofs’.
Suchoń, W., (1973a) ‘On Defining Moisil Functors in n-valued Łukasiewicz Propositional Logic’.
Suchoń, W., (1974) ‘La méthode de Smullyan de construire le calcul n-valent de Lukasiewicz avec implication et négation’.
Suchoń, W., (1974a) ‘Définition des foncteurs modaux de Moisil dans le calcul n-valent des propositions de Łukasiewicz avec implication et négation’.
Suchoń, W., (1974b) ‘Matrix Łukasiewicz Algebras’.
Suchoń, W., (197 +) ‘Matrix Łukasiewicz Algebras’.
Sugihara, Takeo
Sugihara, T., (1964) Yòsô ronrigaku kenkyû ( AStudy on Modal Logic).
Sugihara, T., (1964a) ‘Sequential Truth-functions’.
Surma, Stanisfaw J
Surma, S. J., (1971) ‘Jaskowski’s Matrix Criterion for the Intuitionistic Propositional Calculus’.
Surma, S. J., (1973 abstract) ‘A Method of the Construction of Łukasiewiczian Algebras and Its Application to Gentzen-style Characterization of Łukasiewiczian Logics’.
Surma, S. J., (1973a) ‘Jaśkowski’s Matrix Criterion for the Intuitionistic Propositional Calculus’.
Surma, S. J., (1973b) ‘Nota w sprawie twierdzeń o dedukcji nie wprostwaznych w skończenie wielwartościonych rachunkach zdań Łukasiewicza’ (A Note on Indirect Deduction Theorems Valid in Lukasiewiczs Finitely-valued Propositional Calculi).
Surma, S. J., (1974) ‘A Method of the Construction of Finite Łukasiewiczian Algebras and Its Application to a Gentzen-stile Characterization of Finite Logics’.
Surma, S. J., (1974a) ‘On Jaśkowski-style Semantics for the Intuitionistic Propositional Calculi’ (with Andrzej Wronski and S. Zachorowski).
Surma, S. J., (1974b) ‘An Algorithm for Axiomatizing Every Finite Logic’.
Surma, S. J., (1974c) ‘An Algorithm for Axiomatizing Every Finite Logic’.
Susskind, A
Susskind, A., (1971) ‘Building Blocks and Synthesis Techniques for the Realization of m-ary Combinational Switching Functions’ (with C. Ying).
Suszko, Roman
Suszko, R., (1957) ‘A Formal Theory of the Logical Values. 1’ (Polish).
Swartwout, Richard E
Swartwout, R. E., (1971) ‘A Ternary Logic Minimization Technique’ (with R. S. Nutter).
Swartwout, R. E., (1972) ‘The Combination of a Soft and Multi-valued Algebra’.
Szczech, Wfadysiaw
Szczech, W., (1973) ‘Axiomatizability of Finite Matrices’.
Tahara, Michio
Tahara, M., (1970) ‘Functional Completeness and Polyphecks in 3-valued Logic’ (Japanese) (with Sueo Tanaka).
Takahashi, Moto-o
Takahashi, M., (1968) Many-valued Logics of Extended Gentzen Style V.
Takahashi, M., (1970) ‘Continuous λ-Є Logics’.
Takahashi, M., (1970a) ‘Many-valued Logics of Extended Gentzen Style IF.’
Takahashi, M., (1971 abstract) ‘On the Consistency of the Comprehension Axiom in Continuous Logic’.
Takamatsu, Y
Takamatsu, Y., (1973) ‘Multiple-valued Variable-threshold Threshold Logic and Its Application to the Realization of the Set of Boolean Functions’ (with T. Aibara and K. Murakami).
Takamatsu, Y., (1974) ‘Isobaricity for a Set of Multiple-valued Logical Functions and Its Application to the Synthesis of Multithreshold Elements’ (with K. Murakami and T. Aibara).
Takaoka, T
Takaoka, T., (1971) ‘A Construction Method of Fail-safe Systems for Many-valued Logic’.
Tallet, Jorge
Tallet, J., (1970) ‘On the Symmetry of Many-valued Logical Systems’.
Tamura, Saburo
Tamura, S., (197 +) ‘A Sequential Formulation for Sobocinski’s Three-valued Logic’.
Tanaka, Kokichi
Tanaka, K., (1971) ‘Homomorphisms of Logical Functions and Their Applications’ (with Y. Fujita and Tadahiro Kitahashi).
Tanaka, K., (1971a) ‘An Orthogonal Expansion of Multiple-valued Logical Functions’ (with Tadahiro Kitahashi).
Tanaka, K., (1972) ‘A Consideration on Compositions of Many-valued Logical Functions’ (with Y. Fujita and Tadahiro Kitahashi).
Tanaka, K., (1972a) ‘An Extension of the Theorem of Isomorphism Concerning the Compositions of Many-valued Switching Functions’ (with Y. Fujita and Tadahiro Kitahashi).
Tanaka, K., (1972b) ‘General Formulation of Formal Grammars’ (with M. Mizumoto and J. Toyoda).
Tanaka, Shôtarô
Tanaka, S., (1966) ‘A Pentavalued Logic and Its Algebraic Theory’ (with Kiyoshi Iseki).
Tanaka, Sueo
Tanaka, S., (1970) ‘Functional Completeness and Polyphecks in 3-valued Logic’ (Japanese) (with Michio Tahara).
Tarasov, A. A
Tarasov, A. A., (1972) ‘Certain Properties of the Essential Function of k-valued Logic’ (Russian).
Tarski, Alfred
Tarski, A., (1930) Untersuchungen uber den Aussagenkalkül (with Jan Łukasiewicz).
Tauts, A
Tauts, A., (1967) ‘The Definition of Truth Values as Formulae’ (Russian).
Tauts, A., (1969) ‘Nonregular First Order Predicate Calculus’ (Russian).
Termini, S
Termini, S., (1972) ‘Algebraic Properties of Fuzzy Sets’ (with A. de Lucca).
Tezuka, Yoshikazu
Tezuka, Y., (1964) ‘Tunnel Diode Circuit for Ternary Logic’ (Japanese) (with Toshiharu Hasegawa and Y. Nagaoka and Yoshiro Kasahara).
Tezuka, Y., (1969) ‘The Characterizing Parameters of Ternary Logical Functions and Their Applications to Threshold Logical Functions’ (with Tadahiro Kitahashi and Hirosato Nomura and Yoshiro Kasahara).
Tezuka, Y., (1970) ‘Monotonicity of Ternary Logical Functions and Its Applications to the Analysis of Ternary Threshold Functions’ (Japanese) (with Tadahiro Kitahashi and Yoshiro Kasahara and Hirosato Nomura).
Tezuka, Y., (1972) ‘Multilevel Balanced Code With Redundant Digits’ (with T. Asabe).
Tezuka, Y., (1972a) ‘On Cyclic Multilevel Codes’ (with T. Asabe and H. Nakanishi).
Tezuka, Y., (1972b) ‘Spectral Density of Cyclic Multilevel Code’ (with T. Asabe and H. Nakanishi).
Thelliez, S. F
Thelliez, S. F., (1966) ‘Simulateur de circuits logiques ternaires’.
Thelliez, S. F., (1966a) ‘Theorie de la decomposition appliquee a la logique ternaire’.
Thelliez, S. F., (1971) ‘Problems Related to Ternary Sequential Switching Networks Synthesis’.
Thelliez, S. F., (1973) Introduction a letude des structures ternaires de commutation.
Thiele, Helmut
Thiele, H., (1958) ‘Theorie der endlich-wertigen Łukasiewiczschen Prädikatenkalkule der ersten Stufe’.
Thomas, Ivo
Thomas, I., (1962) ‘On the Infinity of Positive Logic’.
Thomas, I., (1962a) ‘Finite Limitations on Dummett’s LC.’
Thomas, I., (1967) ‘Three-valued Propositional Fragments With Classical Implication’.
Thomason, M. G
Thomason, M. G., (1972) ‘Extension of the Boolean Difference Concept to Multi-valued Logic Systems’ (with N. Bell and E. W. Page).
Thomason, Richmond Hunt
Thomason, R. H., (1970) ‘Indeterminist Time and Truth-value Gaps’.
Tien, P. S
Tien, P. S., (1971) ‘The Analysis and Synthesis of Fuzzy Switching Circuits’.
Tishulina, A. M
Tishulina, A. M., (1962) ‘The Setun’ Small Automatic Digital Computer’ (Russian) (with N. P. Brusentzov and Y. A. Zhogolev and V. V. Verigin and S. P. Maslov ).
Tokarz, Marek
Tokarz, M., (1971) ‘The Problem of Reconstructability of Propositional Calculi’ (with Ryszard Wójcicki).
Tokarz, M., (1972) ‘On Invariant Systems and Structural Completeness of Łukasiewicz’s Logics’.
Tokarz, M., (1972a) ‘Invariant Systems of Łukasiewicz Calculi’.
Tokarz, M., (1972b) ‘On Structural Completeness of Łukasiewicz’s Logics’.
Tokarz, M., (1974) ‘Binary Functions Definable in Implicational Godel Algebras’.
Tokarz, M., (1974a) ‘A Method of Axiomatization of Łukasiewicz Logics’.
Tokarz, M., (1974b) ‘A New Proof of “Topographic” Theorem on Łukasiewiczs Logics’.
Tokarz, M., (1974c) ‘Invariant Systems of Łukasiewicz Logics’.
Tolstova, Yu. M
Tolstova, Y. M., (1967) ‘Modelling I-valued Logic in k-valued Logic (k > 1)’ (Russian).
Tošič, Živko
Tošič, Ž., (1969) ‘Description of Many-valued Logics’ (Russian) (with Ju. L. Ivs’kiv and D. A. Pospelov).
Tošič, Ž., (1972) ‘Analytical Representations of m-valued Logical Functions Over the Ring of Integers modulo M.’
Toyoda, J
Toyoda, J., (1972) ‘General Formulation of Formal Grammars’ (with M. Mizumoto and Kikochi Tanaka).
Traczyk, Tadeusz
Traczyk, T., (1962) ‘On Axioms and Some Properties of Post Algebras’.
Traczyk, T., (1963) ‘Some Theorems on Independence in Post Algebras’.
Traczyk, T., (1963a) ‘Axioms and Some Properties of Post Algebras’.
Traczyk, T., (1964) ‘A Generalization of Loomis-Sikorski’s Theorem’.
Traczyk, T., (1964a) ‘An Equational Definition of a Class of Post Algebras’.
Traczyk, T., (1965) ‘Weak Isomorphism of Boolean and Post Algebras’.
Traczyk, T., (1967) ‘On Post Algebras With Uncountable Chain of Constants. Algebras of Homomorphisms’.
Traczyk, T., (1968) ‘Prime Ideals in Generalized Post Algebras’.
Traczyk, T., (1969) ‘Generalized Lukasiewicz Algebras’ (with W. Marek).
Troelstra, Anne Sjerp
Troelstra, A. S., (1965) ‘On Intermediate Propositional Logics’.
Tsichritzis, D
Tsichritzis, D., (1973) ‘Approximate Logic’.
Tsichritzis, D., (1966) ‘Decomposition of Group Functions With Applications to Two Rail Cascades’ (with Michael Yoeli).
Turquette, Atwell Rufus
Turquette, A. R., (1943) A Study and Extension of M-valued Logics.
Turquette, A. R., (1963a) ‘Modality, Minimality, and Many-valuedness’.
Turquette, A. R., (1966) ‘A Method for Constructing Implication Logics’.
Turquette, A. R., (1966a) ‘Peirce’s Triadic Logic’ (with Max Fisch).
Turquette, A. R., (1967) ‘Peirce’s Phi and Psi Operators for Triadic Logic’.
Turquette, A. R., (1968) ‘Dualizable Quasi-strokes for ra-state Automata’.
Turquette, A. R., (1969) ‘Generalizable Kleene Logics’.
Turquette, A. R., (1969a) ‘Peirce’s Complete System of Triadic Logic’.
Turquette, A. R., (1971 abstract) ‘Peirce’s ø and Ψ Operators for Triadic Logic’.
Turquette, A. R., (1972) ‘Generalized Modal Sets’.
Ulrich, Dolph Edward
Ulrich, D. E., (1967) Matrices for Sentential Calculi.
Ulrich, D. E., (1970 abstract) ‘Decidability Results for Some Classes of Propositional Calculi’.
Ulrich, D. E., (1972) ‘Some Results Concerning Finite Models for Sentential Calculi’.
Ulrich, D. E., (1974 abstract) ‘Subsystems of S6, and a Conjecture of Prior’s’.
Ulrich, D. E., (197 +) ‘The Non-existence of Finite Characteristic Matrices for Subsystems of RI’.
Umezawa, Toshio
Umezawa, T., (1959a) ‘On Logics Intermediate Between Intuitionistic and Classical Predicate Logic’.
Urquhart, Alasdair Ian Fenton
Urquhart, A. I. F., (1971) Temporal Logic (with Nicholas Rescher).
Urquhart, A. I. F., (1973) The Semantics of Entailment.
Urquhart, A. I. F., (1973a) ‘An Interpretation of Many-valued Logic’.
Ušan, Janez
Ušan, J., (1965) ‘Definition of a Constructability in Algebraic Systems With Finite Sets (Partial and Many-valued) of n-operations and Some of Their Properties’ (Serbo-Croatian).
Vakarelov, Dimitǎr I
Vakarelov, D. I., (1970) ‘The Concept of Dogma and Some Systems of Many-valued Logic’ (Russian).
Vakarelov, D. I., (1972) ‘Note on the Semantics of the Łukasiewiczs 3-valued Logic’ (Russian).
Valentuzzi, M. E
Valentuzzi, M. E., (1966) ‘Threshold Implementation of Ternary Systems’ (with H. Arango and M. Pascual and J. Santos).
van Fraassen, Bas C
van Fraassen, B. C., (1966) ‘Singular Terms, Truth-value Gaps, and Free Logic’.
van Fraassen, B. C., (1968) ‘Presuppositions, Implication, and Self-reference’.
van Fraassen, B. C., (1969) ‘Presuppositions, Supervaluations, and Free Logic’.
van Fraassen, B. C., (1970) ‘Truth and Paradoxical Consequences’.
van Fraassen, B. C., (1970a) ‘Rejoinder: On a Kantian Conception of Language’.
van Fraassen, B. C., (1971) Formal Semantics and Logic.
van Fraassen, B. C., (1974) ‘The Labyrinth of Quantum Logics’.
Vander Nat, Arnold
Vander Nat, A., (1969) ‘The System S9’ (with Storrs McCall).
Vander Nat, A., (1972) ‘Axiomatic, Sequenzen-Kalkul, and Subordinate Proof Versions of S9’.
Varlet, J. C
Varlet, J. C., (1968) ‘Algèbres de Lukasiewicz trivalentes’.
Varlet, J. C., (1969) ‘Considerations sur les algebres de Lukasiewicz trivalentes’.
Varśavskiĭ, V. I
Varśavskiĭ, V. I., (1965) ‘Functional Divisibility in Three-valued Logic’ (Russian).
Varśavskiĭ, V. I., (1969) ‘A Majority Operation in Many-valued Logic’ (Russian).
Verigin, V. V
Verigin, V. V., (1962) ‘The Setun’ Small Automatic Digital Computer’ (Russian) (with N. P. Brusentzov and Y. A. Zhogolev and S. P. Maslov and A. M. Tishulina).
Villa, Giovanni
Villa, G., (1970) ‘Calcola proposizionale trivalente dia lettico’.
Višin, V. V
Višin, V. V., (1963) ‘Toždésvénnyé préobrazovaniá v četyréhznaćnoj logiké’ (Identical Transformations in Four-place Logic).
Vraciu, Constantin
Vraciu, C., (1969) W-valued Centered Lukasiewicz Algebras’ (with George Georgescu).
Vraciu, C., (1969a) ‘Le spectre maximal d’une algebre de Lukasiewicz’ (with George Georgescu).
Vraciu, C., (1969b) ‘Sur les algebres de Lukasiewicz centrees’ (with George Georgescu).
Vraciu, C., (1969c) ‘Sur le spectre maximal dune algebre de Lukasiewicz’ (with George Georgescu).
Vraciu, C., (1969d) ‘Sur les epimorphismes centrees des algebres de Lukasiewicz’ (with George Georgescu).
Vraciu, C., (1970) ‘On the Characterization of Centered Lukasiewicz Algebras’ (with George Georgescu).
Vraciu, C., (1971) ‘Algebre Lukasiewicz monadice’ (with George Georgescu).
Vraciu, C., (197 +) ‘La dualite des algebres de Post 0-valentes’ (with George Georgescu).
Vranesic, Z. G., (1970) ‘A Many-valued Algebra for Switching Systems’ (with E. S. Lee and Kenneth C. Smith).
Vranesic, Z. G., (1971) ‘Multivalued versus Binary High Speed Multipliers’ (with H. C. Hamacher).
Vranesic, Z. G., (1971a) ‘Application of Multi-valued Cyclic Codes’ (with K. A. El Ayat).
Vranesic, Z. G., (1971b) ‘Circuit Implementations of Multivalued Logic’ (with Kenneth C. Smith and L. Janczewski).
Vranesic, Z. G., (1972) ‘Ternary Logic in Arithmetic Units’ (with P. Sebastian).
Vranesic, Z. G., (1972a) ‘Ternary Logic in Parallel Multipliers’ (with H. C. Hamacher).
Vranesic, Z. G., (1974) ‘Engineering Aspects of Multi-valued Logic Systems’ (with Kenneth C. Smith).
Vranesic, Z. G., (1974a) ‘Multiple-valued Pseudorandom Number Generators’ (with C. I. Lam).
Vranesic, Z. G., (1974b) ‘Electronic Implementation of Multi-valued Logic Networks’ (with Kenneth C. Smith and A. Druzeta).
Vranesic, Z. G., (197+) ‘Application of Multi-threshold Elements in the Realization of Many-valued Logic Networks’ (with A. Druzeta and A. S. Sedra).
Vučković, Vladeta
Vučković, V., (1967) Recursive Models for Three-valued Propositional Calculi With Classical Implication.
Vučković, V., (1967a) ‘A Recursive Model for the Extended System A of B. Sobociński’.
Walliuzzaman, K. M
Walliuzzaman, K. M., (1969) Multi-stage Implementation of Multi-valued Switching Functions.
Watanabe, Syozo
Watanabe, S., (1974 abstract) ‘Many-valued Prosthetics’.
Weaver, George
Weaver, G., (1974) ‘A Strong Completeness Theorem for 3-valued Logic’ (with H. Goldberg and Hugues Leblanc).
Webb, Donald L
Webb, D. L., (1936c) Many-valued Logic.
Webb, D. L., (1938 abstract) ‘A Set of Postulates for an Algebra of n-valued Logic’.
Wee, William G
Wee, W. G., (1969) ‘A Formulation of Fuzzy Automata and Its Application as a Model of Learning Systems’ (with K. S. Fu).
Węglorz, B
Węglorz, B., (1970) ‘A Representation Theorem for Post-like Algebras’.
Wenver, J. L
Wenver, J. L., (1964) ‘Nonlinear Hall-effects Ternary Logic Element’ (with C. F. Kooi).
Wesselkamper, T. C
Wesselkamper, T. C., (1974) ‘A Note on UDEs in an n-valued Logic’.
Wesselkamper, T. C., (1974a) ‘Some Completeness Results for Abelian Semigroups and Groups’.
Wesselkamper, T. C., (1975) ‘A Sole Sufficient Operator’.
Wheeler, Roger F
Wheeler, R. F., (1966) ‘Complete Connectives for the 3-valued Propositional Calculus’.
Wheeler, R. F., (1966 abstract) ‘Complete Connectives for the 3-valued Propositional Calculus’.
White, Bruce
White, B., (1974) ‘A Note on Natural Deduction in Many-valued Logic’.
Wijngaarden, A. V
Wijngaarden, A. V., (1969) (ed.) ‘Report on the Algorithmic Language ALGOL 68’.
Wilcox, William C
Wilcox, W. C., (1970) ‘On Infinite Matrices and the Paradoxes of Material Implication’.
Wilde, Alan C
Wilde, A. C., (197 +) ‘Generalizations of the Distributive and Associative Laws’.
Wilde, A. C., (197 +a) ‘A Substitution Property’.
Wiredu, J. E
Wiredu, J. E., (1974) ‘A Remark on a Certain Consequence of Connexive Logic for Zermelo’s Set Theory’.
Wirth, N
Wirth, N., (1971) ‘The Programming Language PASCAL’.
Włodarska, E
Włodarska, E., (1970) ‘On Representation of Post Algebras Preserving Some Infinite Joins and Meets’.
Wojcick, Anthony S
Wojcick, A. S., (1971) ‘Some Relationships Between Post and Boolean Algebras’ (with Gemot A. Metze).
Wojcick, A. S., (1972) ‘The Minimization of Higher-order Boolean Functions’.
Wojcick, A. S., (1973) ‘Multi-valued Asynchronous Circuits’.
Wojcick, A. S., (1974) ‘Multi-valued Asynchronous Sequential Circuits’.
Wójcicki, Ryszard
Wójcicki, R., (1969) ‘Logical Matrices Strongly Adequate for Structural Sentential Calculi’.
Wójcicki, R., (1970) ‘Some Remarks on the Consequence Operation in Sentential Logics’.
Wójcicki, R., (1971) ‘The Problem of Reconstructability of Propositional Calculi’ (with Marek Tokarz).
Wójcicki, R., (1972) ‘Some Properties of Strongly Finite Propositional Calculi’.
Wójcicki, R., (1972a) ‘Some Results Concerning Many Valued Łukasiewicz Calculi’.
Wójcicki, R., (1972b) ‘The Degree of Completeness of the Finitely-valued Propositional Calculi’.
Wójcicki, R., (1973) ‘On Matrix Representations of Consequence Operations of Łukasiewicz Sentential Calculi’.
Wójcicki, R., (1974) ‘Note on Deducibility and Many-valuedness’.
Wójcicki, R., (1974a) ‘Matrix Approach in Methodology of Sentential Calculi’.
Wójcicki, R., (1974b) ‘The Logics Stronger than Łukasiewiczs Three-valued Sentential Calculus. The Notion of Degree of Maximality Versus the Notion of Degree of Completeness’.
Wójcicki, R., (1974c) ‘Degree of Maximality Versus Degree of Completeness’.
Wojtikiewicz, Czesław
Wojtikiewicz, C., (1973 abstract) ‘Axiomatization of Finite N-algebras by the Method of T. Hosoi’.
Woodruff, Peter Worthing
Woodruff, P. W., (1968 abstract) ‘Arguments in 3-valued Logic’.
Woodruff, P. W., (1969) Foundations of Three-valued Logic.
Woodruff, P. W., (1970 abstract) ‘Constructive Three-valued Logic’.
Woodruff, P. W., (1970a) ‘Logic and Truth Value Gaps’.
Woodruff, P. W., (1971 abstract) ‘A New Approach to Possible Objects’.
Woodruff, P. W., (1973) ‘On Constructive Nonsense Logic’.
Woodruff, P. W., (1973a) ‘On Compactness in Many-valued Logic. I’.
Woodruff, P. W., (1974 abstract) ‘A Constructive Łukasiewiczian Logic’.
Woodruff, P. W., (1974a) ‘A Modal Interpretation of Three-valued Logic’.
Woodruff, P. W., (197 +) ‘Relevance and Many Valued Logic’.
Woods, John
Woods, J., (1974) The Logic of Fiction. A Philosophical Sounding of Deviant Logic.
Wroński, Andrzej
Wroński, A., (1971) ‘Axiomatization of the Implicational Godel’s Matrices by Kalmar’s Method’.
Wroński, A., (1971a) ‘Axiomatization of the Implicational Matrix T(L2)2 of Jaskowski’s Family (L1)Πr.’
Wroński, A., (1972) ‘An Algorithm for Finding Finite Axiomatizations of Finite Intermediate Logics’.
Wroński, A., (1972a) ‘An Algorithm for Finding Finite Axiomatizations of Finite Intermediate Logics’.
Wroński, A., (1973) ‘Axiomatization of the Implicational Gödel’s Matrices by Kalmar’s Method’.
Wroński, A., (1973a) ‘Structural Completeness of Gödel’s and Dummett’s Propositional Calculi’ (with Wojciech Dzik).
Wroński, A., (1974) ‘On Equivalential Fragments of Some Intermediate .Logics’.
Wroński, A., (1974a) ‘On Jaśkowski-type Semantics for the Intuitionistic Propositional Logic’ (with Stanisław J. Surma and S. Zachorowski).
Wroński, A., (1974b) ‘On the Construction of Matrices Strongly Adequate for Pre-finite Logics’ (with Ewa Graczynska).
Wroński, A., (1974c) ‘A Characterization of Fragments of the Intuitionistic Propositional Logic’ (with M. T. Porębska).
Wroński, A., (1974d) ‘On Cardinalities of Matrices Strongly Adequate for the Intuitionistic Pro- positional Logic’.
Yamanaka, Hideki
Yamanaka, H., (1971) ‘Multiple Logic Design and Applications in Binary Computers’ (with George Epstein and R. C. Braddock).
Yamanaka, H., (1972) ‘Tri-stable State Circuitry for Digital Computers’ (with George Epstein).
Yeh, R. T
Yeh, R. T., (1971) ‘On a Theory of Continuously Valued Logic’ (with F. P. Preparata).
Yeh, R. T., (1972) ‘Continuously Valued Logic’ (with F. P. Preparata).
Ying, C
Ying, C., (1971) ‘Building Blocks and Synthesis Techniques for the Realization of M-ary Combinational Switching Functions’ (with A. K. Susskind).
Yoeli, Michael
Yoeli, M., (1964) ‘Application of Ternary Algebra to the Study of Static Hazards’ (with S. Rinon).
Yoeli, M., (1965) ‘Logical Design of Ternary Switching Circuits’ (with G. Rosenfeld).
Yoeli, M., (1965a) ‘Ternary Transmission Contact Network’.
Yoeli, M., (1965b) ‘A Group Theoretical Approach to Two Rail Cascades’.
Yoeli, M., (1966) ‘Decomposition of Group Functions With Applications to Two Rail Cascades’ (with J. Turner).
Yoeli, M., (1967) ‘The Synthesis of Multi-valued Cellular Cascades’.
Yoeli, M., (1967a) ‘Group Functions and Multi-valued Cellular Cascades’ (with Ieka Shinahr).
Yoeli, M., (1968) ‘Ternary Cellular Cascades’.
Yoeli, M., (1968a) ‘Ternary Arithmetic Unit’ (with Israel Halperu).
Yrjola, P. (1972)
Yrjola, P., (1972) ‘Design of A/D Converters for Binary Coded Ternary Systems’ (with L. Ojala).
Yrjola, P., (1973) ‘Design of Incremental Signal Processing Devices Using Binary Coded Ternary Logic’ (with L. Ojala).
Zachorowski, S. (1974)
Zachorowski, S., (1974) ‘On Jaskowski-type Semantics for the Intuitionistic Propositional Logic’ (with Stanislaw J. Surma and Andrzej Wronski).
Zadeh, Lofti A. (1965)
Zadeh, L. A., (1965) ‘Fuzzy Sets’.
Zadeh, L. A., (1966) ‘Shadows of Fuzzy Sets’ (Russian).
Zadeh, L. A., (1970) ‘Decision-making in a Fuzzy Environment’ (with R. E. Bellman).
Zadeh, L. A., (1971) ‘Quantitative Fuzzy Semantics’.
Zadeh, L. A., (1971a) ‘Similarity Relations and Fuzzy Orderings’.
Zaharova, É. Ú
Zaharova, É. Ú., (1966) ‘Ob odnom dostatočnom uslovii polnoty v Pk’ (On a Sufficient Condition for Completeness in Pk).
Zaharova, É. Ú., (1967) ‘Kriterij sistem funkcij iz Pk’ (Criteria of Completeness of Functions from Pk).
Zaharova, É. Ú., (1969) ‘Precomplete Classes in k-valued Logics’ (Russian) (with Valeriĭ B. Kudrjavcev and S. V. Jablonskii).
Zaharova, É. Ú., (1971) ‘A Remark on the Maximal Order of a Simple Basis in Pk’ (Russian).
Zaharova, É. Ú., (1972) ‘Realization of a Function from Pk by Formulae (k ≥ 3)’ (Russian).
Zaharova, É. Ú., (1972a) ‘Certain Properties on Nondegenerate Superposition in Pk’ (Russian) (with S. V. Jablonskii).
Zavisca, E
Zavisca, E., (1971) ‘An Approach to Multiple-valued Sequential Circuit Synthesis’ (with Charles M. Allen).
Zavisca, E., (1972) ‘Multiple-valued Combinational Function Synthesis Using a Single Gate Type’.
Zhogolev, Y. A. (1962)
Zhogolev, Y. A., (1962) ‘The Order Code and Interpretive System for the Setun’ Computer’ (Russian).
Zhogolev, Y. A., (1962a) ‘The Setun’ Small Automatic Digital Computer’ (Russian) (with N. P. Brusentzov and V. V. Verigin and S. P. Maslov and A. M. Tishulina ).
Žurkin, V. A. (1972)
Žurkin, V. A., (1972) ‘Minimization of Functions of Many-valued Logic in a System Which Has Cyclic Negation’ (Russian).
Zinov’ev, Aleksandr Aleksandrovich
Zinov’ev, A. A., (1961b) ‘Ob odnam sposobé obzora funkcij istinnosti n-značnogo isčislénià vyskazyvanij’ (A Method of Describing the Truth-functions of the n-valued Propositional Calculus).
Zinov’ev, A. A., (1963) Philosophical Problems of Many-valued Logic.
Zinov’ev, A. A., (1970) ‘Minimal Tautologies and Contradictions in Finitely Many-valued Logic’ (Russian).
Åqvist Lennart
Åqvist, L., (1962) ‘Reflections on the Logic of Nonsense’.
Åqvist, L., (1963) “Deontic Logic Based on a Logic of ‘Better’”.
Åqvist, L., (1963a) ‘Postulate Sets and Decision Procedures for Some Systems of Deontic Logic’.
I. Basis Theory 1. TEXTS, GENERAL SKETCHES, AND HISTORICAL SURVEYS
Robert J. Ackermann (1967). An Introduction to Many-valued Logics.
Michel Carvallo (1968). Logique à trois valeurs. Logique à seuil.
Anton Dumitriu (1971). Logica polivalentǎ. Second edition (In collaboration with Teodor Stihi).
George Epstein (1972). ‘Applications of Post and Generalized Post Algebras to Finite and Infinite Switching Circuits’.
George Epstein (1974). ‘The Development of Multiple-valued Logic as Related to Computer Science’ (with Gideon Frieder and David C. Rine).
George Epstein (1974c). ‘A Summary of the Development of Multiple-valued Logic as Related to Computer Science’ (with Gideon Frieder and David C. Rine).
Max Fisch (1966). ‘Peirce’s Triadic Logic’ (with Atwell R. Turquette).
Gideon Frieder (1974). ‘The Development of Multiple-valued Logic as Related to Computer Science’ (with George Epstein and David C. Rine).
Gideon Frieder (1974a). ‘A Summary of the Development of Multiple-valued Logic as Related to Computer Science’ (with George Epstein and David C. Rine).
S. G. Gindikin (1972). Algébra logiki v zadačah.
Leonard Goddard (1973). The Logic of Significance and Context. Volume I (with Richard Routley).
Jean-Blaise Grize (1973). Logique moderne.Fasc. III. Implications-modalités, logiques polyvalentes, logique combinatoire, ontologie et méréologie de Leśniewski.
Toshiharu Hasegawa (1972). ‘Many-valued logic and its applications’ (Japanese).
Kiyoshi Iséki (1968). Kigô ronrigaku (meidai ronri) (Symbolic logic (propositional logic)).
Ju. L. Ivas’kiv (1969). ‘Description of Many-valued Logics’ (Russian) (with D. A. Pospelov and Ž. Tošič).
George L. Kline (1965). ‘N. A. Vasil’ev and the Development of Many-valued Logics’.
Czesław Lejewski (1967). ‘Łukasiewicz, Jan’.
Jan Łukasiewicz (1929). Elementy logiki matematycznej (Elements of Mathematical Logic).
Jan Łukasiewicz (1934). ‘Z historji logiki zdań’ (On the History of the Logic of Propositions).
Storrs McCall (1967a). ‘MacColl’.
Grigor Constantin Moisil (1972). Essais sur les logiques non-chrysippiennes.
R. Zane Parks (1971). ‘The Mystery of Phi and Psi.’
Günther Patzig (1973). ‘Aristotle, Łukasiewicz and the Origins of Many-valued Logic’.
D. A. Pospelov (1969). ‘Description of Many-valued Logics’ (Russian) (with Ju. L. Ivas’kiv and Ž. Tošič).
Arthur Norman Prior (1967). ‘Logic, Many-valued’.
Helena Rasiowa (1974). An Algebraic Approach to Non-classical Logics.
Nicholas Rescher (1968). Topics in Philosophical Logic.
Nicholas Rescher (1969). Many-valued Logic.
Nicholas Rescher (1971). Temporal Logic (with Alasdair Urquhart).
David C. Rine (1974a). ‘The Development of Multiple-valued Logic as Related to Computer Science’ (with George Epstein and Gideon Frieder).
David C. Rine (1974c). ‘A Summary of the Development of Multiple-valued Logic as Related to Computer Science’ (with George Epstein and Gideon Frieder).
Richard Routley (1973). The Logic of Significance and Context. Volume 1 (with Leonard Goddard).
Ž. Tošič (1969). ‘Description of Many-valued Logics’ (Russian) (with Ju. L. Ivas’kiv and D. A. Pospelov).
Atwell R. Turquette (1966a). ‘Peirce’s Triadic Logic’ (with Max Fisch).
Atwell R. Turquette (1967). ‘Peirce’s Phi and Psi Operators for Triadic Logic’.
Atwell R. Turquette (1969a). ‘Peirce’s Complete System of Triadic Logic’.
Atwell R. Turquette (1971 abstract). ‘Peirce’s ø and Ψ Operators for Triadic Logic’.
Alasdair Urquhart (1971). Temporal Logic (with Nicholas Rescher).
Bas C. van Fraassen (1971). Formal Semantics and Logic.
Peter Worthing Woodruff (1969). Foundations of Many-valued Logic.
Aleksandr Aleksandrovich Zinov’ev (1963). Philosophical Problems of Many-valued Logic.
2. Tha 3-Valued Systems
Denise Becchio (1972). ‘Nouvelle démonstration de la complétude du système de Wajsberg axiomatisant la logique trivalente de Lukasiewicz’.
G. Bryll (1967). ‘Some Remarks on Three-valued Logic of Łukasiewicz’ (with Jerzy Słupecki and Tadeusz Prucnal).
N. M. Ermolaeva (1973). ‘On Logics Which are Similar to Hao Wang’s Calculus’ (Russian).
John Evenden (1974). ‘Generalised Logic’.
John Evenden (197 +). ‘Generalised Logic. IF.’
Victor K. Finn (1969). ‘The Precompleteness of a Class of Functions that Corresponds to the Three-valued Logic of J. Łukasiewicz’ (Russian).
Victor K. Finn (1970). ‘Certain Characteristic Truth-tables of Classical Logic and of the Three-valued Logic of J. Łukasiewicz’ (Russian).
Victor K. Finn (1971). ‘On the axiomatisation of a Three-valued Logic’ (Russian).
Victor K. Finn (1971a). Axiomatization of Some 3-valued Propositional Calculi and of Their Algebras (Russian).
Marc Fort (1973a). ‘Deduction en logique trivalente’.
V. M. Gnidenko (1963). ‘Determinarea ordinelor claselor aproape logica trivalentǎ’.
Goldberg (1974). ‘A Strong Completeness Theorem for 3-valued Logic’ (with Hugues Leblanc and George Weaver).
Henryk Greniewski (1958). ‘Refleksie marginesie wikladow z driejow logik Tadeusza Kotarbinskiego’.
Kiyoshi Iseki (1966a). ‘Some Three-valued Logics and Its Algebraic Representations’.
Hugues Leblanc (1974) ‘A Strong Completeness Theorem for 3-valued Logic’ (with H. Goldberg and George Weaver).
Hugues Leblanc (197 +). ‘A Strong Completeness Theorem for 3-valued Logic. II’.
Jan Łukasiewicz (1920). ‘O logice trojwartościowej’ (On Three-valued Logic).
Jan Łukasiewicz (1921). ‘Logika dwuwartościowa’ (Two-valued Logic).
Jan Łukasiewicz (1930a). ‘Philosophische Bemerkungen zu mehrwertigen Systemen des Aussagenkalkiils’.
Jan Łukasiewicz (1930b). Untersuchungen über den Aussagenkalkül’ (with Alfred Tarski).
Jan Łukasiewicz (1938). ‘Die Logik und das Grundlagenproblem’.
Storrs McCall (1966a). ‘Pure Three-valued Łukasiewiczian Implication’ (with Robert K. Meyer).
Robert K. Meyer (1966a). ‘Pure Three-valued Lukasiewiczian Implication’ (with Storrs McCall).
Robert K. Meyer (1972). ‘Independent Axioms for the Implicational Fragment of Sobociński’s Three-valued Logic’ (with R. Zane Parks).
Miroslav Mlëziva (1960). ‘K axiomatisaci trojhodnotové výrokové logiky’ (On the Axiomatization of Three-valued Propositional Logic).
Grigor Constantin Moisil (1941d). ‘Remarques sur la logique modale du concept’.
Grigor Constantin Moisil (194If). ‘Sur les anneaux de caracteristique 2 ou 3 et leurs applications’.
Grigor Constantin Moisil (1962b). ‘Sur la logique à trois valeurs de Łukasiewicz’.
R. Zane Parks (1972b). ‘Dependence of Some Axioms of Rose’.
R. Zane Parks (1972c). ‘Independent Axioms for the Implicational Fragment of Sobocinski’s Three-valued Logic’ (with Robert K. Meyer).
Tadeusz Prucnal (1967). ‘Some Remarks on Three-valued Logic of J. Łukasiewicz’ (with Jerzy Słupecki and G. Bryll).
Alan Rose (1963). ‘A Formalisation of the Propositional Calculus Corresponding to Wang’s Calculus of Partial Predicates’.
Albert Sade (1969b). ‘Sur le premier systeme de Lukasiewicz’.
V. I. Shestakov (1964). ‘On the Relationship Between Certain Three-valued Logical Calculi’.
Frederico M. Siosen (1965). ‘A Characterization of the Tautologies in the Three-valued Propositional Calculus’ (Spanish).
Jerzy Słupecki (1967). ‘Some Remarks on Three-valued Logic of J. Łukasiewicz’ (with G. Bryll and Tadeusz Prucnal).
Bolesław Sobociński (1964). ‘On the Propositional System A of Vučković and Its Extension. I’.
Bolesław Sobociński (1964a). ‘On the Propositional System A of Vučković and Its Extension. II’.
Alfred Tarski (1930). ‘Untersuchungen über den Aussagenkalkül’ (with Jan Łukasiewicz).
Ivo Thomas (1967). ‘Three-valued Propositional Fragments with Classical Implication’.
Giovanni Villa (1970). ‘Calcola proposizionale trivalente dia lettico’.
Vladeta Vučković (1967). ‘Recursive Models for Three-valued Propositional Calculi with Classical Implication’.
Vladeta Vučković (1967a). ‘A Recursive Mode for the Extended System A of B. Sobociński’.
George Weaver (1974). ‘A Strong Completeness Theorem for 3-valued Logic’ (with Hugues Leblanc and H. Goldberg).
Peter Worthing Woodruff (1968 abstract). ‘Arguments in 3-valued Logic’.
Peter Worthing Woodruff (1969). Foundations of Three-valued Logic.
Peter Worthing Woodruff (1970 abstract). ‘Constructive Three-valued Logic’.
Peter Worthing Woodruff (1974 abstract). ‘A Constructive Łukasiewiczian Logic’.
3. Finitely and Infinitely Many-Valued Systems of Propositional Logic
Lawrence P. Belluce (1963). ‘A Weak Completeness Theorem for Infinite-valued First-order Logic’ (with Chen Chung Chang).
Lawrence P. Belluce (1964). ‘Further Results on Infinite Valued First-order Logic’.
Vlad Boicescu (1971). ‘Sur les systèmes déductifs dans la logique θ-valente’.
Eramis Bueno (1970). ‘A Certain Class Many-valued Modal Systems’.
Richard L. Call (1968). ‘A Minimal Canonically Complete m-valued Proper Logic for each m.’
C. Cazacu (1968). ‘Sur les logiques m-valentes’.
Chen Chung Chang (1963a). ‘Logic with Positive and Negative Truth Values’.
Chen Chung Chang (1963d). ‘A Weak Completeness Theorem for Infinite-Valued First- order Logic’ (with Lawrence P. Belluce).
Ernest Edmonds (1969). ‘Independence of Rose’s Axioms for m-valued Implication’.
Kiyoshi Iséki (1966). ‘A Pentavalued Logic and Its Algebraic Theory’ (with Shotaro Tanaka).
Jan Łukasiewicz (1930a). ‘Philosophische Bemerkungen zu mehrwertigen Systemen des Aussagenkalkiils’.
Jan Łukasiewicz (1930b). ‘Untersuchungen über den Aussagenkalkül’ (with Alfred Tar ski).
Grzegorz Malinowski (1972). ‘Dual Counterparts of Łukasiewicz Sentential Calculi’ (with Maciej Spasowski).
Grzegorz Malinowski (1974c). ‘Dual Counterparts of Łukasiewicz’s Sentential Calculi’ (with Maciej Spasowski).
Gerald J. Massey (1972). ‘The Modal Structure of the Prior Rescher Family of Infinite Product Systems’.
Robert K. Meyer (1966a). ‘Pure Denumerable Lukasiewiczian Implication’.
Satoshi Miura (1968). ‘Certain Method for Generating a Series of Logics’ (with Shuro Nagata).
Grigor Constantin Moisil (1939b). ‘Recherches sur le syllogisme’.
Grigor Constantin Moisil (1939c). ‘La logique formelle et son probleme actuel’.
Grigor Constantin Moisil (1940). ‘Recherches sur les logique non-chrysippiènnes’.
Grigor Constantin Moisil (1941a). ‘Notes sur les logiques non-chrysippiènnes’.
Grigor Constantin Moisil (1941f) ‘Sur les théories déductives a logiques non-chrysippiènnes’.
Grigor Constantin Moisil (1943). ‘Contributions à l’etude des logiques non-chrysippiennes. I V. Sur la logique de Mr. Becker’.
Grigor Constantin Moisil (1960b). ‘Asupra logicii lue Bochvar’ (On the Logic of Bochvar).
Grigor Constantin Moisil (1964). ‘Sur les logiques de Łukasiewicz à un nombre fini de valeurs’.
Andrzej Mostowski (1961a). ‘Axiomatizability of Some Many-valued Predicate Calculi’.
Andrzej Mostowski (1961b). ‘An Example of a Non-axiomatizable Many-valued Logic’.
Shûrô Nagata (1968). ‘Certain Method for Generating a Series of Logics’ (with Satoshi Miura).
Akira Nakamura (1963c). ‘On a Simple Axiomatic System of the Infinitely Many-valued Logic Based on →.’
Eleonora Perkowska (1972a). ‘On Algorithmic m-valued Logics’.
Alan Rose (1956b). ‘Formalisations du calcul propositionnel implicatif à ℵo-valeurs de Łukasiewicz’.
Alan Rose (1965). ‘A Formalisation of Post’s m-valued Propositional Calculus with Variable Functors’.
Alan Rose (1966 abstract). ‘A Formalisation of an Infinite-valued Propositional Calculus in Which the Truth Values are Lattice Ordered’.
Alan Rose (1967). ‘A Formalisation of the ℵo -valued Łukasiewicz Propositional Calculus with Variable Functors’.
Alan Rose (1967a). ‘A Formalisation of the ℵo -valued Łukasiewicz Implicational Propositional Calculus with Variable Functors’.
Alan Rose (1967b). ‘A Formalisation of the m-valued Lukasiewicz Propositional Calculus with Superdesignated Truth-values’.
Alan Rose (1967c). ‘Nouveau calcul de non-contradiction’.
Alan Rose (1967d). ‘Nouveau calcul de non-contradiction (méthode alternative)’.
Alan Rose (1968 abstract). ‘Formalisations of Some ℵo-valued Łukasiewicz Propositional Calculi’.
Alan Rose (1968a). ‘Binary Generators for the m-valued and ℵo-valued Łukasiewicz Propositional Calculi’.
Alan Rose (1968b). ‘Formalisations of Some ℵo-valued Lukasiewicz Propositional Calculi’.
Alan Rose (1969a). ‘Nouvelle formalisation du calcul propositionnel à ℵo valeurs de Łukasiewicz dans le cas où il y à des foncteurs variables’.
George Rousseau (1969). ‘Logical Systems with Finitely Many Truth-values’.
T. Ryoichi (1954). ‘On Nine-valued Propositional Calculus’.
Rolf Schock (1964a). ‘On Finitely Many-valued Logics’.
Rolf Schock (1964b). ‘On Denumerably Many-valued Logics’.
Rolf Schock (1965). ‘Some Theorems on the Relative Strengths of Many-valued Logics’.
A. M. Sette (1971). ‘On the Propositional Calculus P1’.
Maciej Spasowski (1972). ‘Dual Counterparts of Łukasiewicz Sentential Calculi’ (with Grzegorz Malinowski).
Maciej Spasowski (1974). ‘Dual Counterparts of Łukasiewicz’s Sentential Calculi’ (with Grzegorz Malinowski).
Shotaro Tanaka (1966). ‘A Pentavalued Logic and Its Algebraic Theory’ (with Kiyoshi Iséki).
Alfred Tarski (1930). ‘Untersuchungen uber den Aussagenkalkul’ (with Jan Łukasiewicz).
A. Tauts (1967). ‘The Definition of Truth Values as Formulae’ (Russian).
Atwell Rufus Turquette (1943). A Study and Extension of m-valued Logics..
Atwell Rufus Turquette (1966). ‘A Method for Constructing Implication Logics’.
Syozo Watanabe (1974 abstract). ‘Many-valued Prosthetics’.
Peter Worthing Woodruff (1969). Foundations of Three-valued Logic.
Special Connectives in Many-Valued Logic (Functional Completeness, Special Modes of Negation, Sheffer Stroke Functions, Structural Completeness)
V. A. Abdugaliev (1967). ‘Normal Forms of k-valued Logic’ (Russian).
V. A. Abdugaliev (1969). ‘On the Question of the Representation of Functions of a k-valued Logic by a Normal Form. I’ (Russian).
V. A. Abdugaliev (1970). ‘On the Question of the Representation of Functions of a k-valued Logic by a Normal Form. II. Selection of the Simple Parts of a Pair (A, B) when p(LA, LB) = 0 and LA ≠ LB. Construction of the Reduced Disjunctive Normal Form’ (Russian).
Alexander Abian (1967). ‘Some Generalized Sheffer Functions’ (with Samuel La Macchia).
Alexander Abian (1967a). ‘Examples of Generalized Sheffer Functions’ (with Samuel La Macchia).
Ja. H. Adźi-Veli (1966). ‘An Application of the Blake-Poreckii Method to the Minimization of the Functions of a Many-valued Logic’ (Russian).
N. N. Aĭzenberg (1965). ‘Representation of a Sum mod m in a Class of Normal Forms of Functions of m-valued Logic’ (Russian).
N. N. Aĭzenberg (1968). ‘Polinomialnye predstauleià functsii amp;-značnoi logiki polinomam nad kolstsam klassov vyčetov po mod k’ (The Representations of Functions of k-valued Logic by Polynomials mod k).
Panteleo Aloisio (1971). ‘Alcune osservazione sulla definibilità di operatori finiti e sulla decibilità algoritmica della completezza funzionale e deduttiva delle logiche a più valori’.
V. B. Alekseev (1971). ‘Simple Bases and Simple Functions in k-valued Logic’ (Russian).
V. B. Alekseev (1971a). ‘On the Number of Simple Bases in a k-valued Logic’ (Russian).
R. A. Baĭramov (1967). ‘K voprosu o funktsionalnoi polnosti v mnogoznachinykh logikakh’ (On the Question of Functional Completeness in Many-valued Logic).
R. A. Baĭramov (1967a). ‘O funktsiiakh Sefferi v mnogoznačhinoi logike’ (Sheffer Functions in Many-valued Logic).
R. A. Baĭramov (1967b). ‘Ob odnoi serii predpolnykh klassov v k-znachinoi logike’.
R. A. Baĭramov (1968). ‘Stabilizatory predikatov i funktsii Sheffera v konecinoznacinoi logike’.
R. A. Baĭramov (1968a). ‘Letter to the Editors’ (Russian).
R. A. Baĭramov (1969a). ‘Fundamentally Criteria for Permutation Groups and Transformation Semigroups’ (Russian).
R. A. Baĭramov (1971). ‘The Classes of Multiplane Functions in Finite Sets’ (Russian).
Nuel D. Belnap, Jr. (1970). ‘Every Functionally Complete m-valued Logic Has a Post- complete Axiomatization’ (with Storrs McCall).
G. N. Blochina (1972). ‘Über gewisse Eigenschaften des Systems P’ (with Valeriĭ B. Kudrjavcev and G. Burosch).
A. E. Bobrov (1972). ‘Minimization of Functions of a Many-valued Logic Which are Defined Through the Maximum, the Minimum and all One-place Functions’ (Russian) (with V. S. Koc).
Rainer Bodendiek (1974). ‘Über das Repräsentantenproblem in der k-wertigen Logik’.
Walter Borner (1969). ‘Eine Klasse von Darstellungen der Funktionen der k-wertigen Logik’.
G. A. Burle (1967). ‘Classes of k-valued Logic Which Contain all Functions of a Single Variable’ (Russian).
G. Burosch (1972). ‘Das Problem der Vollstandigkeit für Boolesche Funktionen uber zwei Dualmengen’ (with Valeriĭ B. Kudrjavcev).
G. Burosch (1972a). ‘Über gewisse Eigenschaften des Systems P’ (with G. N. Blochina and Valeriĭ B. Kudrjavcev.
Alfonson Caracciolo di Forino (1966). ‘m-valued Logics and m-ary Selection Functions’.
Kiril N. Čimev (1967). ‘A Certain Kind of Dependence of Certain Functions of Pk on Their Arguments’ (Bulgarian).
Kiril N. Cimev (1968-69). ‘The Various Kinds of Dependence of the Functions of Many- valued Logic on Their Argument’ (Bulgarian).
Kiril N. Cimev (1968-69a). ‘The First-order Variables of the Functions of Many-valued Logic’ (Bulgarian) (with Georgi A. Kutirkov).
Kenneth W. Collier (1974). ‘A Result of Extending Bochvar’s 3-valued Logic’.
Bruno D’Amore (1972). ‘Sulla definizione di una implicazione nelle logiche polivalentiche soddisfi alia transitivita e che rispetti la struttura di reticolo di Boole’ (with Maurizio L. M. Matteuzzi).
H. El Lozy (1973). ‘On the Number of Types of Systems of k-valued Logical Functions’ (Russian) (with V. A. Popov and N. G. Mokljak ).
R. V. Freĭvald (1966). ‘A Completeness Criterion for Partial Functions of Logic and Many-valued Logic Algebras’ (Russian).
R. V. Freĭvald (1970). ‘Coding of Finite Sets and a Criterion of Completeness up to Coding in Three-valued Logic’ (Russian).
G. P. Gavrilov (1965). ‘On Functional Completeness in Countably-valued Logic’.
Yu. V. Golunkov (1964). ‘On the Equivalence of Formulae Realizing Transformations of Functors of a k-valued Logic’ (Russian).
R. L. Graham (1967). ‘On n-valued Functionally Complete Truth Functions’.
Georges Hansel (1969). ‘Construction d’un schéma functionnel en logique à plusieurs valeurs’ (with Gérard Lévy).
Herbert E. Hendry (1969). ‘On the Concepts of Sheffer Functions’ (with Gerald J. Massey).
Yu. L. Ivas’kiv (1963). ‘A Class of Canonical Forms for the Representation of 3-valued Functions’ (with Z. L. Rabinowicz).
S. V. Jablonskiĭ (1969). ‘Precomplete Classes in k-valued Logics’ (Russian) (with E. Ju. Zaharova and Valerff B. Kudrjavcev).
Chr. Klixbull Jørgensen (1967). ‘The Extensional Classification of Categorical Propositions and Trivalent Logic’.
Tadahiro Kitahashi (1971a). ‘An Orthogonal Expansion of Multiple-valued Logical Functions’ (with K. Tanaka).
V. I. Klevačev (1970). ‘Certain Systems that are Complete in Pk’ (Russian).
V. S. Koc (1973). ‘Minimization of Functions of Many-valued Logic Which are Defined Through the Maximum, the Minimum and All One Place Functions’ (Russian) (with A. E. Bobrob).
Yoshira Koga (1966). ‘A Property of Three-valued Functions of One Variable’ (with Hisashi Mine).
Valeriĭ B. Kudrjavcev (1969). ‘Precomplete Classes in k-valued Logics’ (Russian) (with E. Ju. Zaharova and S. V. Jablonskii).
Valeriĭ B. Kudrjavcev (1970). ‘The Coverings of Precomplete Classes of k-valued Logic’ (Russian).
Valeriĭ B. Kudrjavcev (1971). ‘The Properties of S-systems of Functions of k-valued Logic’ (Russian).
Valeriĭ B. Kudrjavcev (1971a). ‘Concerning S-systems of Functions of a k-valued Logic’ (Russian).
Valeriĭ B. Kudrjavcev (1972). ‘Das Problem der Vollstandigkeit für Boolesche Funktionen über Boolesche Funktionen über zwei Dualmengen’ (with G. Burosch).
Valeriĭ B. Kudrjavcev (1972a). ‘Über gewisse Eigenschaften des Systems P’ (with G. N. Blochina and G. Burosch).
Valeriĭ B. Kudrjavcev (1973b). ‘On Properties of S-systems of k-valued Logic’ (Russian).
Georgi A. Kutirkov (1968-69). ‘The First Order Variables of the Functions of Many-valued Logic’ (Bulgarian).
Samuel La Macchia (1967). ‘Some Generalized Sheffer Functions’ (with Alexander Abian).
Samuel La Macchia (1967a). ‘Examples of Generalized Sheffer Functions’ (with Alexander Abian).
E. T. Lee (1971). ‘Multivalued Symmetric Functions’ (with S. C. Lee).
S. C. Lee (1971). ‘Multivalued Symmetric Functions’ (with E. T. Lee).
Vivien Leigh (1972). ‘Self-dual Sets of Unary and Binary Connectives for the 3-valued Propositional Calculus’.
Gérard Lévy (1969). ‘Formes disjonctives minimales dans une logique à plusieurs valeurs’.
Gérard Lévy (1969a). ‘Construction d’un schema functionnel en logique a plusieurs valeurs’ (with Georges Hansel).
Marian Maduch (1972). ‘A Definability Criterion for the Operations in Finite Łukasiewicz’s Implicational Matrices’.
Gerald J. Massey (1969). ‘On the Concepts of Sheffer Functions’ (with Herbert E. Hendry).
Gerald J. Massey (1971 abstract). ‘Functional Completeness in m-valued Truth Tabular Logic’.
Maurizio L. M. Matteuzzi (1972). ‘Sulla definizione di una implicazione nelle logiche polivalenti che soddisfi alia transitività e che rispetti la struttura di reticola di Boole’ (with Bruno D’Amore).
Storrs McCall (1970). ‘Every Functionally Complete m-valued Logic has a Post-complete Axiomatization’ (with Nuel D. Belnap, Jr.).
Hisashi Mine (1966). ‘A Property of Three-valued Functions of One Variable’ (with Yoshira Koga).
Grigor Constantin Moisil (1960b). ‘Asupra logicii lue Bochvar’ (On the Logic of Bochvar).
N. G. Mokljak (1973). ‘On the Number of Types of Systems of n-valued Logical Functions’ (Russian) (with V. A. Popov and I. T. Skibenko ).
J. C. Muzio (1970). ‘A Decision Process for 3-valued Sheffer Functions. I’.
J. C. Muzio (1971). ‘A Decision Process for 3-valued Sheffer Functions. II’.
J. C. Muzio (1972). ‘On the t-closure Condition of Martin’.
J. C. Muzio (1972a). ‘The Cosubstitution Condition’.
J. C. Muzio (1973a). ‘Some Large Classes of n-valued Sheffer Functions’.
E. I. Neciporok (1969). ‘The Topological Principles of Autocorrection’ (Russian).
Katuzi Ono (1968). ‘A Remark on Peirce’s Rule in Many-valued Logic’.
B. L. Ovsievic (1965). ‘Some Properties of Symmetric Functions of the Three-valued Logic’ (Russian).
V. A. Popov (1973). ‘On the Number of Types of Systems of k-valued Logical Functions’ (Russian) (with I. T. Skibenko and N. G. Mokljak ).
V. N. Porus (1973). ‘On an Analytic Manner of Presentation of Many-valued Matrices’ (Russian).
Z. L. Rabinowicz (1963). ‘A Class of Canonical Forms of the Representation of 3-valued Functions’ (with Yu. L. Ivas’kiv).
M. F. Raca (1965). ‘Class of Logic Functions Corresponding to the First Matrix of Jaśkowski’ (Russian).
M. F. Raca, (1966). ‘A Criterion of Functional Completeness in Logic Corresponding to the First Jaśkowski Matrix’.
M. F. Raca (1969), ‘The Class of Functions of Three-valued Logic That Corresponds to the First Matrix of Jaśkowski’ (Russian).
M. F. Raca (1970). ‘Functional Completeness in Certain Logics That are Intermediate Between the Classical and Intuitionistic Ones’ (Russian).
Alan Rose (1969c). ‘Sur les éléments universels trivalents de décision’.
Alan Rose (1969d). ‘The Degree of Completeness of the m-valued Łukasiewicz Propositional Calculus, Correction and Addendum’.
Alan Rose (1971a). ‘Sur certains functeurs à m arguments des calculs propositionnels à m valeurs’.
Alan Rose (1972). ‘Locally Full ℵo-valued Propositional Calculi’.
Ivo G. Rosenberg (1965). ‘La structure des fonctions de plusieurs variables sur un ensemble fini’.
Ivo G. Rosenberg (1974). ‘Completeness, Closed Classes and Relations in Multiple-valued Logics’.
James Rosenberg (1969). ‘The Application of Ternary Semigroups to the Study of n- valued Sheffer Functions’.
V. L. Rvacov (1967). ‘Some Functionally Closed Classes of Functions in /c-valued Logic’ (Russian) (with L. I. Skljarov).
V. L. Rvačov (1971). ‘A Certain Extension of the Concept of R-function’ (Russian).
Albert Sade (1969). ‘Fonctions propositionnelles monadiques dans la logique trivalente’.
Arto Salomaa (1960). ‘A Theorem Concerning the Composition of Several Variables Ranging Over a Finite Set’.
Arto Salomaa (1960a). ‘On the Composition of Functions of Several Variables Ranging Over a Finite Set’.
Arto Salomaa (1962). ‘Some Completeness Criteria for Sets of Functions Over a Finite Domain, I’.
Arto Salomaa (1963). ‘Some Analogues of Sheffer Functions in Infinite Valued Logics’.
Arto Salomaa (1963b). On Basic Groups for the Set of Functions Over a Finite Domain.
Arto Salomaa (1963c). ‘Some Completeness Criteria for Sets of Functions Over a Finite Domain, II’.
Arto Salomaa (1974). ‘Some Remarks Concerning Many-valued Propositional Logics’.
Peter Schofield (1966). ‘Complete Subsets of Mappings Over a Finite Domain’.
Rangasamy V. Setlur (1971). ‘Duality in Finite Many-valued Logic’.
I. M. Šeinberger (1970). ‘Simple Bases and the Number of Functions in Certain Post Classes’ (Russian).
Kajetan Šeper (1971). ‘A Decision Problem Concerning Autoduality in k-valued Logic’.
F. Richard Singer (1967). ‘Some Sheffer Functions for m-valued Logics’.
L. Sintonen (1972). ‘On the Realization of Functions in n-valued Logic’.
I. T. Skibenko (1973). ‘On the Numbers of Types of Systems of k-valued Logical Functions’ (Russian) (with V. A. Popov and N. G. Mokljak ).
L. T. Skljarov (1967). ‘Some Functionally Closed Classes of Functions in k-valued Logic’ (Russian) (with V. L. Rvacov).
Jerzy Słupecki (1972). ‘A Criterion of Fullness of Many-valued Systems of Propositional Logic’.
William R. Smith III (1974). ‘Minimizations of Multivalued Functions’.
V. A. Sokolov (1971). ‘Remarks on the Class of Partial Functions of Countably-valued Logic’ (Russian).
Ju. N. Solodukin (1970). ‘A Concept of Function-analogue and a Criterion for Functional Incompleteness of Systems of Many-valued Logic’ (Russian).
L. M. Sosinskii (1964). ‘On the Representation of Functions by Irreversible Superpositions in Three-valued Logic’ (Russian).
M. Stojaković (1972). ‘On the Exponential Properties of the Implication’.
Wojciech Suchoń (1974a). ‘Définition des foncteurs modaux de Moisil dans le calculi n-valent des propositions de Lukasiewicz avec implication et negation’.
K. Tanaka (1971a). ‘An Orthogonal Expansion of Multiple-valued Logical Functions’ (with Tadahiro Kitahashi).
V. V. Tarasov (1972). ‘Certain Properties of the Essential Function of k-valued Logic’ (Russian).
Marek Tokarz (1972). ‘On Invariant Systems and Structural Completeness of Łukasiewicz’s Logics’.
Marek Tokarz (1972a). ‘Invariant Systems of Łukasiewicz Calculi’.
Marek Tokarz (1972b). ‘On Structural Completeness of Łukasiewicz’s Logics’.
Marek Tokarz (1974a). ‘A New Proof of “Topographic” Theorem on Łukasiewicz’s Logics’.
Marek Tokarz (1974c). ‘Invariant Systems of Łukasiewicz Calculi’.
Marek Tokarz (197 +). ‘Invariant Systems of Łukasiewicz’s Logics’.
Yu. M. Tolstova (1967). ‘Modelling I-valued Logic in k-valued Logic (k > 1)’ (Russian).
Živko Tošić (1972). ‘Analytical Representations of m-valued Logical Functions Over the Ring of Integers modulo m’.
Atwell R. Turquette (1969). ‘Generalizable Kleene Logics’.
Atwell R. Turquette (1972). ‘Generalized Modal Sets’.
V. I. Varsavskiĭ (1965). ‘Functional Divisibility in Three-valued Logic’ (Russian).
V. I. Varsavskiĭ (1969). ‘A Majority Operation in Many-valued Logic’ (Russian).
Donald C. Webb (1936c). Many-valued Logics.
T. C. Wesselkamper (1975). ‘A Sole Sufficient Operator’.
Roger F. Wheeler (1966). ‘Complete Connectives for the 3-valued Propositional Calculus’.
Roger F. Wheeler (1966 abstract). ‘Complete Connectives for the 3-valued Propositional Calculus’.
Alan C. Wilde (197 +a). ‘A Substitution Property’.
William C. Wilcox (1970). ‘On Infinite Matrices and the Paradoxes of Material Implication’.
Ryszard Wójcicki (1972). ‘Some Properties of Strongly Finite Propositional Calculi’.
Ryszard Wójcicki (1972a). ‘Some Results Concerning Many-valued Lukasiewicz Calculi’.
Ryszard Wójcicki (1972b). ‘The Degree of Completeness of the Finitely-valued Propositional Calculi’.
Ryszard Wójcicki (1973). ‘On Matrix Representation of Consequence Operations of Łukasiewicz Sentential Calculi’.
Ryszard Wójcicki (1974b). ‘The Logics Stronger than Łukasiewicz’s Three-valued Sentential Calculus. The Notion of Degree of Maximality Versus the Notion of Degree of Completeness’.
Ryszard Wójcicki (1974c). ‘Degree of Maximality Versus Degree of Completeness’.
É. Ú. Zaharova (1966). ‘Ob odnum dostatočnom uslovii polnoty v Pk’ (On a Sufficient Condition for Completeness in P k ).
ÉÚ. U. Zaharova (1967). Kritérij sistém funkcij iz P h (Criteria of Completeness of Functions from P k ).
É. Ú. Zaharova (1969). ‘Precomplete Classes in fc-valued Logics’ (Russian) (with ValeriTB. Kudrjavcev and S. V. Jablonskil).
É. Ú. Zaharova (1971). A Remark on the Maximal Order of a Simple Basis in P k ’ (Russian).
É. Ú. Zaharova (1972). ‘Realization of a Function from P k by formulae (k ≥ 3)’ (Russian).
Aleksandr Aleksandrovich Zinov’ev (1961b). ‘Ob odnom sposobé obzora funckij istinnosti rc-značnogo isčislénia vyskazyvanij’ (A Method of Describing the Truth-functions of the fl-valued Propositional Calculus).
V. A. Žurkin (1972). ‘Minimization of Functions of a Many-valued Logic in a System Which has Cyclic Negation’ (Russian) (with A. E. Bobrov).
5. Quantification Theory in Many-Valued Logic
Lawrence Peter Belluce (1964). The Theory of Infinite-valued Predicate Logic.
A. Luiz Darzins (1967 abstract). ‘“The Unambiguous Characterization Problem” for Many-valued and Aristotelian and—and or—Propositional and Functional Calculi’.
Burton Dreben (1960). ‘Relation of m-valued Quantificational Logic to 2-valued Quantificational Logic’.
Marc Fort (1973). ‘Calcul des prédicats trivalent’.
Grigor Constantin Moisil (1961b). ‘The Predicate Calculus in Three-valued Logic’.
Grigor Constantin Moisil (1972g). ‘Sur le calcul des prédicats dans la logique a trois valeurs’.
Andrzej Mostowski (1961a). ‘Axiomatizability of Some Many-valued Predicate Calculi’.
Helena Rasiowa (1972). ‘The Craig Interpolation Theorem for m-valued Predicate Calculi’.
Helena Rasiowa (1973). ‘On Generalized Post Algebras of Order ω+ and ω+-valued Predicate Calculi’.
Alan Rose (1973). ‘Sur certain “Erweiterter Aussagenkalkiil” dont le seul quantificateur primitif constitue son dual’.
Alan Rose (1973a). ‘Note sur 1’ “Erweiterter Aussagenkalkiil” ayant un seul quantificateur primitif.
Brian T. Skyrms (1970a). ‘Notes on Quantification and Self-reference’.
A. Tauts (1969). ‘Nonregular First Order Predicate Calculus’.
6. Axiomatization of Many-Valued Logic (Formal Results; Metalogical Theory)
Robert J. Ackermann (1971). ‘Matrix Satisfiability and Axiomatization’.
M. C. Badillo (1961). ‘Many-valued Logics of Systems’.
Victor K. Finn (1974). ‘A Criterion of Functional Completeness for B3’.
R. R. Rockingham Gill (1970). ‘The Craig-Lyndon Interpolation Theorem in 3-valued Logic’.
H. Goldberg (1974). ‘A Strong Completeness Theorem for 3-valued Logic’ (with Hugues Leblanc and George Weaver).
Tsutomu Hosoi (1966c). ‘The Axiomatization of the Intermediate Propositional Systems Sn of Gödel’.
Tsutomu Hosoi (1967a). ‘On the Axiomatic Method and the Algebraic Method for Dealing with Propositional Logics’.
Tsutomu Hosoi (1967b). ‘A Criterion for the Separable Axiomatization of Gödel’s Sn.
A. A. Ivin (1970). ‘Definitions of Alethic and Deontic Modal Functors in Terms of Material Implication and Constants’ (Russian).
Vladimir G. Kirin (1966). ‘Gentzen’s Method for the Many-valued Propositional Calculi’.
Hugues Leblanc (1974). ‘A Strong Completeness Theorem for 3-valued Logic’ (with H. Goldberg and George Weaver).
Hugues Leblanc (197 +). ‘A Strong Completeness Theorem for 3-valued Logic. II.’
John Loader (1974). ‘A Method for Finding Formulae Corresponding to First Order Universal Decision Elements in m-valued Logic’.
Angelo Margaris (1956). A Problem of Rosser and Turquette in Many-valued Logic.
Angelo Margaris (1958). ‘A Problem of Rosser and Turquette’.
Robert Kenneth Meyer (1966). Topics in Modal and Many-valued Logic.
Torn Miyama (1973). ‘Another Proof and Extension of Gill’s Interpolation Theorem’.
Grigor Constantin Moisil (1967b). ‘Sur le calcul des propositions de type supérieur dans la logique de Lukasiewicz à plusieurs’.
Nobuyoshi Motohashi (1972). ‘Some Investigations on Many-Valued Logic’.
Shuro Nagata (1966). ‘A Series of Successive Modifications of Peirce’s Rule’.
Akira Nakamura (1962c). ‘Tati ronri to sono korikei ni tuite’ (On the Many-valued Logics and an Axiomatic System for Them).
Takemasa Ohya (1968). ‘Many-valued Logic Extended to Simple Type Theory’.
E. Ortowski (1967). ‘Mechanical Proof Procedure for the n-valued Propositional Calculus’.
Eleonora Perkowska (1970). ‘Herbrand Theorem for Theories Based on m-valued Logics’.
Tadeusz Prucnal (1967). ‘A Proof of Completeness of the Three-valued C-N Sentential Calculus of Łukasiewicz’.
Tadeusz Prucnal (1967a). ‘A Proof of the Axiomatizability of Łukasiewicz’s Three-valued Implicational Propositional Calculus’ (Polish).
Tadeusz Prucnal (1974). ‘Interpretations of Classical Sentential Calculus in Nonclassical Implicational Calculi’.
Helena Rasiowa (1972). ‘The Craig Interpolation Theorem for m-valued Predicate Calculi’.
Juliusz Reichbach (1963). ‘About Connection of the First-order Functional Calculus with Many-valued Propositional Calculi’.
Alan Rose (1960a). ‘An Extension of a Theorem of Margaris’.
Alan Rose (1964a). ‘Formalisations de calculus propositionnels polyvalents à foncteurs variables’.
Alan Rose (1966a). ‘A Formalisations of the m-valued Łukasiewicz Implicational Propositional Calculus with Variable Functors’.
Alan Rose (1966b). ‘Formalisation d’un calcul propositionnel a un nombre infini de valeurs, lesquelles forment un treillis’.
Alan Rose (1966c). ‘Formalisation de certains calculus propositionnels polyvalents à foncteurs variables au cas ou certaines valeurs sont surdésignes’.
Alan Rose (1969). ‘Single Generators for Henkenian Fragments of the 2-valued Propositional Calculus’.
Alan Rose (1969b). ‘Some Many-valued Propositional Calculi Without Single Generators’.
Alan Rose (1971). ‘Note sur la formalisation des calculus propositionnels polyvalents’.
George Rousseau (1967). ‘Sequents in Many-valued Logic I’.
George Rousseau (1970). ‘Sequents in Many-valued Logic II’.
Wacław Sadowski (1964). ‘Proof of Axiomatizability of Certain n-valued Propositional Calculi’.
Zygmunt Saloni (1972). ‘Gentzen Rules for the m-valued Logic’.
Thomas W. Scharle (1971 abstract). ‘Completeness of Many-valued Protothetic’.
Peter Schofield (1964). ‘On a Correspondence Between Many-valued and Two-valued Logics’.
Hermann F. Scholt (1970). ‘Generalizability of the Propositional and Predicate Calculi to Infinite-valued Calculi’.
Karl Schröter (1955). ‘Methoden zur Axiomatisierung beliebiger Aussagen- und Prädi- katenkalkiile’.
Dana Scott (197 +). ‘Completeness and Axiomatizability in Many-valued Logic’.
D. J. Shoesmith (1973 abstract). ‘Proofs with Multiple Conclusions’ (with Timothy J. Smiley).
Jerzy Słupecki (1971). ‘Proof of Axiomatizability of Full Many-valued Systems of Calculus of Propositions’.
Timothy J. Smiley (1973 abstract). ‘Proofs with Multiple Conclusions’ (with D. J. Shoe- smith).
Stanisław J. Surma (1973 abstract). ‘A Method of the Construction of Łukasiewiczian Algebras and Its Application to Gentzen-style Characterization of Łukasiewiczian Logics’.
Stanisław J. Surma (1973b). ‘Nota w sprawie twierdzeń o dedukcji nie wprost waznych w skończenie weilwartoś ciowych rachunkach zdań Łukasjewicza’ (A Note on Indirect Deduction Theorems Valid in Łukasiewicz’s Finitely-valued Propositional Calculi).
Stanisław J. Surma (1974). ‘A Method of the Construction of Finite Łukasiewiczian Algebras and Its Application to a Gentzen-stile Characterization of Finite Logics’.
Stanisław J. Surma (1974b). ‘An Algorithm for Axiomatizing Every Finite Logic’.
Stanisław J. Surma (1974c). ‘An Algorithm for Axiomatizing Every Finite Logic’.
Władysław Szczech (1973). ‘Axiomatizability of Finite Matrices’.
Michio Tahara (1970). ‘Functional Completeness and Polyphecks in 3-valued Logic’ (Japanese) (with Sueo Tanaka).
Jorge Tallet (1970). ‘On the Symmetry of Many-valued Logical Systems’.
Saburo Tamura (197 +). ‘A Sequential Formulation for Sobocinski’s Three-valued Logic’.
Sueo Tanaka (1970). ‘Functional Completeness and Polyphecks in 3-valued Logic’ (Japanese) (with Michio Tahara).
Marek Tokarz (1971). ‘The Problem of Reconstructability of Propositional Calculi’ (with Ryszard Wojcicki).
Marek Tokarz (1974a). ‘A Method of Axiomatization of Łukasiewiczian Logics’.
George Weaver (1974). ‘A Strong Completeness Theorem for 3-valued Logic’ (with H. Goldberg and Hugues Leblanc).
T. C. Wesselkamper (1974). ‘A Note on UDE’s in an n-valued Logic’.
Bruce White (1974). ‘A Note on Natural Deduction in Many-valued Logic’.
Alan C. Wilde (197 +). ‘Generalizations of the Distributive and Associative Laws’.
Ryszard Wójcicki (1971). ‘The Problem of Reconstructability of Propositional Calculi’ (with Marek Tokarz).
Czesław Wojtkiewicz (1973 abstract). ‘Axiomatization of Finite algebras by the Method of T. Hosoi’.
Peter Worthing Woodruff (1969). Foundations of Three-valued Logic.
Peter Worthing Woodruff (1973a). ‘On Compactness in Many-valued Logic. I’.
Andrzej Wrónski (1973). ‘Axiomatization of the Implicational Godel’s Matrices by Kalmar’s Method’.
Aleksandr Aleksandrovich Zinov’ev (1970). ‘Minimal Tautologies and Contradictions in Finitely Many-valued Logic’ (Russian).
7. Semantic Interpretations of Many-Valued Logic
D. I. Bakarelov (1972). ‘Notes on the Semantics of Three-valued Łukasiewicz Logic’ (Russian).
Fernando Bertolini (1970). ‘Kripke Models and Many-valued Logics’.
Fernando Bertolini (1970a). ‘Kripke Models and Many-valued Logics. II’.
B. Dahn (1974). ‘Kripke-style Semantics for Some Many-valued Propositional Calculi’.
Leonard Goddard (1973). The Logic of Significance and Context. Volume I (with Richard Routley).
Vladimir G. Kirin (1968). ‘Post Algebras as Semantic Bases of Some Many-valued Logics’.
Pavel Materna (1972). ‘Intensional Semantics of Vague Constants. An Application of Tichy’s Concept of Semantics’.
Charles G. Morgan (1974 abstract). ‘Resolution in Many-valued Logics’.
Hiroakira Ono (1971). ‘Kripke Models and Intermediate Logics’.
Helena Rasiowa (1970). ‘Ultraproducts of m-valued Models and a Generalization of the Löwenheim-Skolem-Gödel-Malcev Theorem for Theories Based on m-valued Logics’.
Helena Rasiowa (197 +). ‘Post Algebras as a Semantic Foundation of Many-valued Logics’.
Richard Routley (1971). ‘Domainless Semantics for Free, Quantification and Significance Logics’.
Richard Routley (1973). The Logic of Significance and Context .Volume 1 (with Leonard Goddard).
Richard Routley (197 +). ‘Universal Semantics?’.
Rolf Schock (1964a). ‘On Finitely Many-valued Logics’.
Rolf Schock (1964b). ‘On Denumerably Many-valued Logics’.
Dana Scott (1973). ‘Background to Formalization’.
Dana Scott (197 +). ‘Completeness and Axiomatizability in Many-valued Logic’.
Wojciech Suchoń (1974). ‘La méthode de Smullyan de construire le calcul n-valent de Łukasiewicz avec implication et negation’.
Roman Suzko (1957). ‘A Formal Theory of the Logical Values.’ F (Polish).
Alasdair Ian Fenton Urquhart (1973). The Semantics of Entailment.
Alasdair Ian Fenton Urquhart (1973a). ‘An Interpretation of Many-valued Logic’.
Dimităr I. Vakarelov (1970). ‘The Concept of Dogma and Some Systems of Many-valued Logic’ (Russian).
Dimităr I. Vakarelov (1972). ‘Notes on the Semantics of the Łukasiewicz’s 3-valued Logic’ (Russian).
Peter Worthing Woodruff (1969).Foundations of Three-valued Logic.
Peter Worthing Woodruff (1973). ‘On Constructive Nonsense Logic’.
II. Logical Ramifications 8. Uses of Many-Valued Logics in the Study of Modal and Relevant Logics
Alan Rose Anderson (1954). ‘On the Interpretation of a Modal System of Łukasiewicz’.
Alan Rose Anderson (1975). Entailment. The Logic of Relevance and Necessity. Volume 1 (with Nuel D. Belnap, Jr.).
Alan Rose Anderson (197 +). Entailment. The Logic of Relevance and Necessity. Volume 2 (with Nuel D. Belnap, Jr. and Robert K. Meyer).
Richard Bradshaw Angell (1971 abstract). ‘Connexive Implication, Modal Logic and Subjunctive Conditionals’.
Ralph C. Applebee (1971). ‘Some Results on Generalized Truth Tables’ (with Biswambhar Pahi).
Nuel D. Belnap, Jr. (1975). Entailment. The Logic of Relevance and Necessity. Volume 1 (with Alan Ross Anderson).
Nuel D. Belnap, Jr. (197 +). Entailment. The Logic of Relevance and Necessity. Volume 2 (with Alan Ross Anderson and Robert K. Meyer).
Eramis Bueno (1969). ‘Polyvalent Modal Logics’ (Spanish).
R. A. Bull (1964). ‘An Axiomatisation of Prior’s Modal Calculus Q’.
Hector-Neri Castañeda (1964). ‘A Note on S5’.
Charles E. Caton (1962). ‘A Stipulation of Logical Truth in a Modal Propositional Calculus’.
John R. Chidgey (1972). ‘Necessity and Ticket Entailment’ (with R. Zane Parks).
John R. Chidgey (1974). On Entailment. A Consideration of Some of the Formal Properties of the Anderson and Belnap System E of Entailment and of Related Systems.
Michael Dummett (1973). Frege: Philosophy of Language.
J. Michael Dunn (1968 abstract). ‘Representation Theory of Normal R-mingle Matrices’.
J. Michael Dunn (1969). ‘E, R and y’ (with Robert K. Meyer).
J. Michael Dunn (1970). ‘Algebraic Completeness Results for R-mingle and Its Extensions’.
J. Michael Dunn (1970a abstract). Extensions of RM and LC.
Ian Hacking (1963). ‘What is Strict Implication?’.
Jerzy Łos (1949). O matrycach logicznych (On Logical Matrices).
Jan Lukasiewicz (1953b). ‘A System of Modal Logic’.
Gerald J. Massey (1969a). ‘Sheffer Functions for Many-valued S5 Modal Logics’.
Robert P. McArthur (197 +). ‘Three-valued Free Tense Logic’.
Storrs McCall (1967b). ‘Connexive Implication and the Syllogism’.
Storrs McCall (1969). ‘The System S9’ (with Arnold Vander Nat).
Robert K. Meyer (1969). E, R and y (with J. Michael Dunn).
Robert K. Meyer (1971 abstract). ‘R-mingle and Relevant Disjunction’.
Robert K. Meyer (197 +). Coherence Revisited.
Robert K. Meyer (197 +a). Entailment. The Logic of Relevance and Necessity.Volume 2 (with A. R. Anderson and N. D. Belnap, Jr.).
Grigor Constantin Moisil (1938). ‘Sur la théorie classique de la modalité des jugements’.
Grigor Constantin Moisil (1939b). ‘Recherches sur le syllogisme’.
Grigor Constantin Moisil (1939c). ‘La logique formelle et son problème actuel’.
Grigor Constantin Moisil (1941d). ‘Remarques sur la logique modale du concept’.
Grigor Constantin Moisil (1942a). ‘Logique modale’.
Charles G. Morgan (197 +). ‘Local and Global Operators and Many-valued Modal Logics’.
Akira Nakamura (1962-64). ‘Yôsô ronri to tati ronri no kankei ni tuite’ (On the Relation
Between Modal Logic and Many-valued Logic). Akira Nakamura (1965). ‘On the Infinitely Many-valued Double-threshold Logic’. Biswambhar Pahi (1966 abstract). ‘On the Non-existence of Finite Characteristic Matrices’
for Some Implicational Calculi’. Biswambhar Pahi (1966a). Studies in Implicational Calculi.
Biswambhar Pahi (1971). ‘Some Results on Generalized Truth-tables’ (with Ralph C. Applebee).
Biswambhar Pahi (1972). ‘Maximal Full Matrices’.
Biswambhar Pahi (1972a). ‘A Method for Proving the Non-existence of Finite Characteristic Models for Implicational Calculi’.
Biswambhar Pahi (1973). ‘Necessity and Some Non-modal Propositional Calculi’.
Biswambhar Pahi (1974). ‘On the Non-existence of Finite Characteristic Models for Some Classes of Implicational Calculi’.
R. Zane Parks (1972). ‘A Note on R-mingle and Sobociński’s Three-valued Logic’.
R. Zane Parks (1972a). ‘Necessity and Ticket Entailment’ (with John R. Chidgey). Arthur Norman Prior (1959). ‘Notes on a Group of New Modal Systems’.
Arthur Norman Prior (1963a). ‘The Theory of Implication’.
Arthur Norman Prior (1964). ‘Axiomatisation of the Modal Calculus Q’.
Richard Purtill (1970). ‘Fout-valued Tables and Modal Logic’.
Malcolm K. Rennie (1971). ‘Semantics for RK1’.
Nicholas Rescher (1971). Temporal Logic (with Alasdair Urquhart).
Imre Ruzsa(1973). ‘Prior-type Modal Logic. I’.
Imre Ruzsa (1973a). ‘Prior-type Modal Logic. IF.’
George F. Schumm (1969). ‘On Some Open Questions of B. Sobociński’.
Schiller Joe Scroggs (1951). ‘Extensions of the Lewis System S5’.
Krister Segerberg (1967). ‘Some Modal Logics Based on a Three-valued Logic’.
D. J. Shoesmith (1971). ‘Deducibility and Many-valuedness’ (with Timothy J. Smiley).
Anjan Shukla (1969). ‘A Note on Independence’.
Timothy J. Smiley (1961). ‘On Łukasiewicz’s L-modal System’.
Timothy J. Smiley (1971). Deducibility and Many-valuedness (with D. J. Shoesmith).
Wojciech Suchon (1973).. ‘Application of the Theory of Logical Matrices in the Independence Proofs’.
Takeo Sugihara (1964). Yôsô ronrigaku kenkyii (A Study on Modal Logic).
Takeo Sugihara (1964a). ‘Sequential Truth-functions’.
Atwell R. Turquette (1963a). ‘Modality, Minimality, and Many-valuedness’.
Dolph Edward Ulrich (1967). Matrices for Sentential Calculi.
Dolph Edward Ulrich (1970 abstract). ‘Decidability Results for Some Classes of Propositional Calculi’.
Dolph Edward Ulrich (1972). ‘Some Results Concerning Finite Models for Sentential Calculi’.
Dolph Edward Ulrich (1974 abstract). ‘Subsystems of S6, and a Conjecture of Prior’s’.
Dolph Edward Ulrich (197 +). ‘The Nonexistence of Finite Characteristic Matrices for Subsystems of Ri’.
Alasdair Urquhart (1971). Temporal Logic (with Nicholas Rescher).
Arnold Vander Nat (1969). ‘The System S9’ (with Storrs McCall).
Arnold Vander Nat (1972). ‘Axiomatic, Sequenzen-kalkul, and Subordinate Proof Versions of S9’.
Ryszard Wójcicki (1969). ‘Logical Matrices Strongly Adequate for Structural Sentential Calculi’.
Ryszard Wójcicki (1970). ‘Some Remarks on the Consequence Operation in Sentential Logics’.
Ryszard Wójcicki (1974). ‘Note on Deducibility and Many-valuedness’.
Ryszard Wójcicki (1974a). ‘Matrix Approach in Methodology of Sentential Calculi’.
Peter Worthing Woodruff (1969). Foundations of Three-valued Logic.
Peter Worthing Woodruff (1974a). ‘A Modal Interpretation of Three-valued Logic’.
9. Uses of Many-Valued Logic in the Study of Intuitionistic Logic and Proof Theory (Intermediate Logics)
John G. Anderson (1971). ‘The Degree of Completeness of Dummett’s LC and Thomas’ LCn’
John G. Anderson (1974). ‘A Note on Intermediate Logics’.
R. A. Bull (1962). ‘The Implicational Fragment of Dummett’s LC’.
R. A. Bull (1964a). ‘Some Results for Implicational Calculi’.
K. J. Cohen (1953). ‘A Remark on Łukasiewicz’s ‘On the Intuitionistic Theory of Deduction’.
Michael Dummett (1959). ‘A Propositional Calculus with Denumerable Matrix’.
J. Michael Dunn (1970a abstract). ‘Extensions of RM and LC’.
J. Michael Dunn (1971). ‘Algebraic Completeness Results for Dummett’s LC and Its Extensions’ (with Robert K. Meyer).
Wojciech Dzik (1973). ‘Structural Completeness of Gödel’s and Dummett’s Propositional Calculus’ (with Andrzej Wroński).
Dov M. Gabbay (1970). ‘The Decidability of the Kreisel-Putnam System’.
Dov M. Gabbay (1971 abstract). ‘The Decidability of the Kreisel-Putnam System’.
Ewa Graczynska (1974). ‘On the Construction of Matrices Strongly Adequate for Pre- finite Logics’ (with Andrzej Wroński).
Masazumi Hanazawa (1966). ‘A Characterization of Axiom Schema Playing the Role of Tertium Non Datur in Intuitionistic Logic’.
Arend Heyting (1956). Intuitionism: An Introduction.
Tsutomu Hosoi (1966). ‘Algebraic Proof of the Separation Theorem on Dummett’s LC’.
Tsutomu Hosoi (1967). ‘On Intermediate Logics. I’.
Tsutomu Hosoi (1969). ‘On Intermediate Logics. II’.
Tsutomu Hosoi (1970). ‘The Intermediate Logics on the Second Slice’ (with Hiroakira Ono).
Tsutomu Hosoi (197 +). ‘Intermediate Propositional Logics (A Summary)’ (with Hiroakira Ono).
Hung Chen Van (1970). ‘Remarks on Intermediate Logics’.
V. A. Jankov (1963). ‘O nekotoryh supérkonstruktivnyh isčisléniah vyskazyvanij’ (Some Superconstructive Propositional Calculi).
V. A. Jankov (1963a). ‘O realizuémyh formulah logiki vyskazyvanij’ (Realizable Formulas of Propositional Logic).
V. A. Jankov (1963b). ‘O svázi mézdu vyvodimost’u v intuitcioniskom isčislenii vyskazyvanij i konéčnymi implikativnymi strukturami’ (The Relationship Between Deducibility in the Intuitionist Propositional Calculus and Finite Implicational Structures).
V. A. Jankov (1968). ‘Postroénie poslédovatél’nosti sil’no nezavismyh supérintuicionistskih propozicional’nyh isčislénij’ (Constructing a Sequence of Strongly Independent Super- intuitionistic Propositional Calculi).
V. A. Jankov (1968a). ‘Ob isčislenia slabogo zakona isklúčennogo trét’ego’ (The Calculus of the Weak “Law of Excluded Middle”).
V. A. Jankov (1968b). ‘On the Extension of the Intuitionist Propositional Calculus to the Classical Calculus, and the Minimal Calculus to the Intuitionist Calculus’ (Russian).
V. A. Jankov (1969). ‘Konunktivno nérazložimye formuly v propozicional’nyh isčisléniah’ (Conjunctively Indecomposable Formulas in Propositional Calculi).
Robert Elefter Kirk (1972). Intermediate Logics and Equational Classes of Brouwerian Algebras.
George Kreisel (1957). ‘Eine Unableitbarkeitsbeweismethode für den intuitionistischen Aussagenkalkül’ (with Hilary Putnam).
Jan Łukasiewicz (1937). ‘Wobronie logistyk’ (In Defense of Logistic).
Jan Łukasiewicz (1938). ‘Die Logik und das Grundlagenproblem’.
Jan Łukasiewicz (1952). ‘On the Intuitionistic Theory of Deduction’.
Jan Łukasiewicz (1953c). ‘Comment on K. J. Cohen’s Remark’.
A. I. Malcev (1967). ‘Ob odnom usilenii teorem Słupeckogo i Jablonskogo’.
C. G. McKay (1967). ‘On Finite Logics’.
C. G. McKay (1967a). ‘A Note on the Jaśkowski Sequence’.
C. G. McKay (1968). ‘The Decidability of Certain Intermediate Propositional Logics’.
C. G. McKay (1968a). ‘The Non-separability of a Certain Finite Extension of Heyting’s Propositional Logic’.
C. G. McKay (1971). ‘A Class of Decidable Intermediate Propositional Logics’.
C. A. Meredith (1966). ‘Postulates for Implicational Calculi’.
Robert K. Meyer (1971a). ‘Algebraic Completeness Results for Dummett’s LC and Its Extensions’ (with J. Michael Dunn).
Hiroakira Ono (1970). ‘The Intermediate Logics on the Second Slice’ (with Tsutomu Hosoi).
Hiroakira Ono (1971-72). ‘On the Finite Model Property for Kripke Models’.
Hiroakira Ono (1972). ‘Some Results on the Intermediate Logics’.
Hiroakira Ono (197 +). ‘Intermediate Propositional Logics (A Survey)’ (with Tsutomu Hosoi).
M. T. Porębska (1974). ‘A Characterization of Fragments of the Intuitionistic Propositional Logic’ (with Andrzej Wroński).
Hilary Putnam (1957). ‘Eine Unableitbarkeitsbeweismethode fur den intuitionistischen Aussagenkalkül’ (with George Kreisel).
M. F. Raca (1969). ‘The Class of Functions of Three-valued Logic that Corresponds to the First Matrix of Jaśkowski’ (Russian).
M. F. Raca (1970). ‘Functional Completeness in Certain Logics that are Intermediate Between the Classical and Intuitionistic Ones’ (Russian).
George Rousseau (1968). ‘Note on a Problem of Porte’.
Thoralf Skolem (1929). ‘Über einige Grundlagenfragen der Mathematik’.
Stanisław J. Surma (1971). ‘Jaśkowski’s Matrix Criterion for the Intuitionistic Propositional Calculus’.
Stanisław J. Surma (1973). ‘Jaśkowski’s Matrix Criterion for the Intuitionistic Propositional Calculus’.
Stanisław J. Surma (1974a). ‘On Jaśkowski-style Semantics for the Intuitionistic Pro- positional Logic’ (with Andrzej Wroński and S. Zachorowski).
Ivo Thomas (1962). ‘On the Infinity of Positive Logic’.
Ivo Thomas (1962a). ‘Finite Limitations on Dummett’s LC’.
A. S. Troelstra (1965). ‘On Intermediate Propositional Logics’.
Toshio Umezawa (1954a). ‘On Logics Intermediate Between Intuitionistic and Classical Predicate Logic’.
Peter W. Woodruff (1973). ‘On Constructive Nonsense Logic’.
Andrzej Wroński (1971). ‘Axiomatization of the Implicational Gödel’s Matrices by Kalmar’s Method’.
Andrzej Wroński (1971a). ‘Axiomatization of the Implicational Matrix Γ(L2)2 of Jaśkowski’s Family (L1)nr’-
Andrzej Wroński (1972). ‘An Algorithm for Finding Finite Axiomatizations of Finite Intermediate Logics’.
Andrzej Wroński (1972a). ‘An Algorithm for Finding Finite Axiomatizations of Finite Intermediate Logics’.
Andrzej Wroński (1973a). ‘Structural Completeness of Gödel’s and Dummett’s Propositional Calculus’ (with Wojciech Dzik).
Andrzej Wroński (1974). ‘On Equivalential Fragments of Some Intermediate Logics’.
Andrzej Wroński (1974a). ‘On Jaśkowski-type Semantics for the Intuitionistic Propositional Logic’ (with Stanisław J. Surma and S. Zachorowski).
Andrzej Wronski (1974b). ‘On the Construction of Matrices Strongly Adequate for Pre-finite Logics’ (with Ewa Graczyńska).
Andrzej Wroński (1974c). ‘A Characterization of Fragments of the Intuitionistic Propositional Logic’ (with M. T. Porębska).
Andrzej Wroński (1974d). ‘On Cardinalities of Matrices Strongly Adequate for the Intuitionistic Propositional Logic’.
S. Zachorowski (1974). ‘On Jaśkowski-type Semantics for the Intuitionistic Propositional Logic’ (with Staisław J. Surma and Andrzej Wroński).
10. Many-Valued Logic and the Logical Paradoxes
G. Asenjo (1966). ‘A Calculus of Antinomies’.
Englebretsen (1973). ‘Suggested Truth-tables for a Three-valued Sentential Logic’.
Hans Herzberger (1970). ‘Truth and Modality in Semantically Closed Languages’.
Jan Łukasiewicz (1910). ‘Über den Satz des Widersprachs bei Aristoteles’.
Jan Łukasiewicz (1923). ‘O determinizmie’ (On Determinism).
M. J. O’Carroll (1967). ‘A Three-valued Non-levelled Logic Constructed for All Self- reference’.
Edward Schuh (1973). ‘Many-valued Logics and the Lewis Paradoxes’.
Brian Skyrms (1970). ‘Return of the Liar’: Three-valued Logics and the Concept of Truth’.
Brian Skyrms (1970a). ‘Notes on Quantification and Self-reference’.
Paul Vincent Spade (197 +). ‘An Alternative to Brian Skyrms Approach to the Liar’.
Bas C. van Fraassen (1968). ‘Presupposition, Implication and Self-reference’.
Bas C. van Fraassen (1970). ‘Truth and Paradoxical Consequences’.
Bas C. van Fraassen (1970a). ‘Rejoinder: On a Kantian Conception of Language’.
Bas C. van Fraassen (1971). Formal Semantics and Logic.
III. Philosophical Ramifications 11. Future Contingency and a Neutral Truth-Value
Zbigniew Jordan (1963). ‘Logical Determinism’.
John King-Farlow (1958). ‘Sea-fights Without Tears’.
Tadeusz Kotarbinski (1913). ‘Zagadniewie istnienia pryszłości’ (On the Problem of Existence of Future Events).
William Ockham (1969). Predestination, God’s Foreknowledge and Future Contingents.
Kenneth A. Seeskin (1971). ‘Many-valued Logic and Future Contingencies’.
Kenneth A. Seeskin (1974). ‘Some Remarks on Truth and Bivalence’.
Richmond H. Thomason (1970). ‘Indeterminist Time and Truth-value Gaps’.
12. Philosophical Controversies Over ‘Alternative’ Logics
Petre Bieltz (1970). ‘Some Remarks Concerning the Principle of Excluded Middle’ (with Mihai Dan Birliba).
Mihai Dan Birliba (1970). ‘Some Remarks Concerning the Principle of Excluded Middle’ (with Petre Bieltz).
Robert Blanche (1972). ‘Sur la trivalence’.
Leonard Goddard (1973). The Logic of Significance and Context. Volume 1 (with Richard Routley).
Susan Haack (1975). Deviant Logic.
Jan Łukasiewicz (1918). ‘Treść wykładu poz egnalnego prof. Jana Łukasiewicza, wgłos-zonego w auli Uniwersytetu Warszawskiego dnia 7-go Marca 1918’ (Farewell Lecture by Professor Jan Łukasiewicz, Delivered in the Warsaw University Lecture Hall on March 7, 1918 ).
Robert A. Pannier (1970 abstract). ‘Axiomatic Systems and m-valued Calculi’.
Willard Van Ormand Quine (1970). Philosophy of Logic.
Nicholas Rescher (1969). Many-valued Logic.
Nicholas Rescher (1969a abstract). ‘Autodescriptive Systems of Many-valued Logic’.
Richard Routley (1973). The Logic of Significance and Context. Volume 1 (with Leonard Goddard).
John Woods (1974). The Logic of Fiction. A Philosophical Sounding of Deviant Logic.
13. Application of Many-Valued Logic to Philosophical Problems
J. M. Bell (197 +). ‘Two Systems of Presupposition Logic’ (with I. L. Humberstone).
Nuel D. Belnap, Jr. (1973). ‘Restricted Quantification and Conditional Assertion’.
Ross T. Brady (1973). ‘Don’t Care Was Made to Care’ (with Richard Routley).
Ross T. Brady (197 +). ‘Significance Logics’.
Ross T. Brady (197 +a). ‘Significance Range Theory’.
John P. Cleave (1974). ‘The Notion of Logical Consequence in the Logic of Inexact Predicates’.
T. Drange (1966). Type Crossings.
John Evenden (1972). ‘Generalised Logic’.
Mark Fisher (1961). ‘A Three-valued Calculus for Deontic Logic’.
Leonard Goddard (1964). ‘Sense and Nonsense’.
Leonard Goddard (1966). ‘Predicates, Relations and Categories’.
Leonard Goddard (1968). ‘Towards a Logic of Significance’.
Leonard Goddard (1969). The Existence of Universals’.
Leonard Goddard (1970). ‘Nonsignificance’.
Leonard Goddard (1973). The Logic of Significance and Context .Volume 1 (with Richard Routley).
R. J. Haack (1971). ‘No Need for Nonsense’.
Sören Halldén (1957). On the Logic of ‘Better’.
Hans G. Herzberger (1973). ‘Dimensions of Truth’.
Hans G. Herzberger (197 +). ‘Setting Russell Free’.
I. L. Humberstone (197+). Two Systems of Presupposition Logic’ (with J. M. Bell).
Stephan Korner (1966). Experience and Theory. An Essay in the Philosophy of Science.
Stephan Korner (1968). ‘Reply to Mr. Kumar’.
Stephan Korner (1970). Categorial Frameworks.
Dharmendra Kumar (1967). ‘Logic and Inexact Predicates’.
Dharmendra Kumar (1969). ‘Neutrality, Contingency and Undecidability’.
Dharmendra Kumar (1971). ‘Vagueness and Subjunctivity’.
Karel Lambert (1968). ‘On a No Type Theory of Significance’.
Storrs McCall (1966). ‘Connexive Implication’.
Storrs McCall (1967b). ‘Connexive Implication and the Syllogism’.
Hugh Montgomery (1968). ‘On Systems Containing Aristotle’s Thesis’ (with Richard Routley).
Edgar Morscher (1971). ‘A Matrix Method for Deontic Logic’.
Richard Routley (1966). ‘On a Significance Theory’.
Richard Routley (1968). ‘On Systems Containing Aristotle’s Thesis’ (with Hugh Montgomery).
Richard Routley (1969). The Need for Nonsense’.
Richard Routley (1969a). ‘Categories—Expressions or Things?’ (with Valerie Routley).
Richard Routley (1971). ‘Domainless Semantics for Free, Quantification and Significance Logics’.
Richard Routley (1973). The Logic of Significance and Context Volume 1 (with Leonard Goddard).
Richard Routley (1973a). ‘Don’t Care Was Made to Care’ (with Ross T. Brady).
Valerie Routley (1969). ‘Categories—Expressions or Things?’ (with Richard Routley). James LeRoy Stiver (1972). Presupposition, Implication and Necessitation: A Critique of and Alternative to van Fraassen’s Presuppositional Logic.
Bas C. van Fraassen (1966). ‘Singular Terms, Truth-value Gaps, and Free Logic’.
Bas C. van Fraassen (1968). ‘Presupposition, Implication and Self-reference’.
Bas C. van Fraassen (1969). ‘Presuppositions, Supervaluations, and Free Logic’.
Bas C. van Fraassen (1970a). ‘Rejoinder: On a Kantian Conception of Language’.
Peter W. Woodruff (1970 abstract). ‘A New Approach to Possible Objects’.
Peter W. Woodruff (1970a). ‘Logic and Truth Value Gaps’.
Lennart Åqvist (1962). ‘Reflections on the Logic of Nonsense’.
Lennart Åqvist (1963). ‘Deontic Logic Based on a Logic of “Better”’.
Lennart Åqvist (1963a). ‘Postulate Sets and Decision Procedures for Some Systems of Deontic Logic’.
Applications of Many-Valued Logic to Linguistics
Lauri Karttunen (1973). ‘Presuppositions of Compond Sentences’.
Edward Keenan (1972). ‘On Semantically Based Grammar’.
George Lakoff (1973). ‘Hedges: A Study in Meaning Criteria and the Logic of Fuzzy Concepts’.
IV. Ramifications in Mathematics, Physics, Computer Science 15. Applications of Many-Valued Logic in Set Theory
Ross Thomas Brady (1971). A 4-valued Theory of Classes and Individuals.
Ross Thomas Brady (1971a). ‘The Consistency of the Axioms of Abstraction and Extensionality in a Three-valued Logic’.
Ross Thomas Brady (1972). ‘The Relative Consistency of the Class Axioms of Abstraction and Extensionality and the Axioms of NBG in a Three-valued Logic’.
E. William Chapin, Jr. (197 +). ‘Set-valued Set Theory. I’.
E. William Chapin, Jr. (197 +a). ‘Set-valued Set Theory. II’.
Bruno D’Amore (1973). ‘Considerazioni strutturali sugli insiemi indecidibili’ (with Maurizio L. M. Matteuzzi).
Siegfried Gottwald (1973). ‘Über Einbettungen in Zahlenbereiche einer Mehrwertigen Mengenlehre’.
Dieter Klaua (1965). ‘Über einen Ansatz zur mehrwertigen Mengenlehre’.
Dieter Klaua (1966). ‘Über einen zweiten Ansatz zur mehrwertigen Mengenlehre’.
Dieter Klaua (1967). ‘Ein Ansatz zur mehrwertigen Mengenlehre’.
Dieter Klaua (1967a). ‘Einbettung der klassischen Mengenlehre in die Mehrwertige’.
Dieter Klaua (197 +). ‘Zur Arithmetik mehrwertiger Zahlen’.
Maurizio L. M. Mateuzzi (1973). ‘Considerazioni strutturali sugli insiemi indecidibili’ (with Bruno D.Amore).
Robert Edwin Maydole (1973). Many-valued Logic as a Basis for Set Theory.
Storrs McCall (1967c). ‘Connexive Class Logic’.
Thoralf Skolem (1957a). Mengenlehre gegriindet auf einer Logik mit unendlich vielen
Wahrheitswerten’. Thoralf Skolem (1957b). ‘Bemerkungen zum Komprehensionsaxiom’.
Thoralf Skolem (1960). ‘A Set Theory Based on a Certain 3-valued Logic’.
J. E. Wiredu (1974). ‘A Remark on a Certain Consequence of Connexive Logic for Zermelo’s Set Theory’.
16. Algebraic, Algorithmic, and Topological Models of and Applications in Many-Valued Logics
I. Bădele (1969). ‘Sur les extensions des algebres de Lukasiewicz’ (with Vlad Boicescu).
R. V. Baĭramov (1969). ‘The Predicate Characterizability of Subalgebras of Many-valued Logic’ (Russian).
Edward Bałuka (1965). ‘On Verification of the Expressions of Many-valued Sentential Calculi. I’.
Giulano Barton (1971). ‘Algebre di Post monadiche’.
R. Beazer (197 +). ‘Post-like Algebras and Injective Stone Algebras’.
Leon Birnbaum (197 +). ‘Tripolar Algebra and Logic’.
G. N. Blochina (1971). ‘On Basic Groups in k-valued Logic’ (Russian) (with Valeriĭ B. Kudrjavcev).
G. N. Blochina (1973). ‘Ein Vollständigkeitskriterium bis auf eine gewisse Äquivalenz-relation für eine verallgemeinerte Postsche Algebra’ (with Valerii B. Kudrjavcev and G. Burosch).
G. N. Blochina (1973a). ‘Über verallgemeinerte Postsche Algebren’ (with Valeriĭ B. Kudrjavcev and G. Burosch).
V. G. Bodnarčuk (1969). ‘Galois Theory for Post Algebras. I, IF’ (Russian) (with L. A. Kaluznin and V. N. Kotov and B. A. Romov ).
Vlad Boicescu (1969). ‘Sur les extensions des algèbres de Lukasiewicz’ (with I. Bădele).
Vlad Boicescu (1970). ‘Sur la représentation des algèbres de Lukasiewicz n-valentes’.
Vlad Boicescu (1970a). ‘Les algèbres de Lukasiewicz centrées et axées’ (with George Georgescu).
Vlad Boicescu (1971). ‘Sur les algèbres de Lukasiewicz’.
G. Burosch (1973). ‘Ein Vollständigkeitskriterium bis auf eine gewisse Äquivalenzrelation für eine verallgemeinerte Postsche Algebra’ (with G. N. Blochina and Valeriĭ B. Kudrjavcev).
G. Burosch (1973a). ‘Über verallgemeinerte Postsche Algebren’ (with G. N. Blochina and Valeriĭ B. Kudrjavcev).
Michel Carvallo (1967). ‘Sur la résolution des équations de Post’.
Michel Carvallo (1968a). ‘Sur la resolution des équations de Post a y valeurs’.
D. M. Casenoves (1964). ‘L-algebres, multivalent logice’.
G. E. Ceĭtlin (1970). ‘The Structure of a Modified Post Algebra and Its Properties’ (Russian).
E. Ceiĭtlin (1971). ‘The Infinitely Generated Subalgebras of a Modified Post Algebra’ (Russian).
Chen Chung Chang (1957). ‘Algebraization of Infinitely Many-valued Logic’.
Chen Chung Chang (1958b). ‘Algebraic Analysis of Many-valued Logics’.
Chen Chung Chang (1959). ‘A New Proof of the Completeness of the Łukasiewicz Axioms’.
Chen Chung Chang (1961). ‘Prime Ideal Characterization of Generalized Post Algebras’ (with Alfred Horn).
Mihail Cherciu (1971). ‘Filtres de Stone dans les treillis distributifs’.
Peter T. Cheung (1971). ‘Algebraic Properties of Multi-valued Symmetric Switching Functions’.
E. Chresterson (1955). ‘A Class of Generalized Walsh Functions’.
Roberto Cignoli (1965). ‘Boolean Elements in Łukasiewicz Algebras. I’.
Roberto Cignoli (1965a). ‘Boolean Elements in ukasiewicz Algebras. II’ (with Antonio Monteiro).
Roberto Cignoli (1969). Estudio algebraico de logicas polivalentes. Algebras de Moisil de orden N.
Roberto Cignoli (1970). Moisil Algebras.
Roberto Cignoli (1972). ‘Representation of Lukasiewicz and Post Algebras by Continuous Functions’.
A. de Luca (1972). ‘Algebraic Properties of Fuzzy Sets’ (with S. Termini).
Jean Drabbe (1973). ‘Sur la représentation des algèbres de Post’.
Jean Drabbe (1973a). ‘Étude algèbrique des logiques à plusieurs valeurs’.
Edgar G. DuCasse (1972). ‘A Generalized Equivalence Relation for Post Algebras’ (with Gemot A. Metze).
Edgar G. DuCasse (1974). ‘Synthesizing Operators Defined on a Class of Decision Algebras from Post Functions’.
Philip Dwinger (1966). ‘Notes on Post Algebras. I, II’.
Philip Dwinger (1968). ‘Generalized Post Algebras’.
Philip Dwinger (1969). ‘Ideals in Generalized Post Algebras’.
George Epstein (1960). ‘The Lattice Theory of Post Algebras’.
George Epstein (1971 abstract). ‘On Unary Operators in Post Algebras’.
George Epstein (1971a abstract). ‘Aspects of Post Algebras’.
George Epstein (1971c). ‘Decision Algebras’.
George Epstein (1973). ‘An Equational Axiomatization for the Disjoint System of Post Algebras’.
George Epstein (1973a). ‘Comments on “The Relationship Between Multivalued Switching Algebra and Boolean Algebra under Different Definitions of Complement”’.
George Epstein (1974a). ‘Propositional Calculi Based on Subresiduation’ (with Alfred Horn).
George Epstein (1974b). ‘Finite Limitations on a Propositional Calculus for Affirmation and Negation’ (with Alfred Horn).
George Epstein (197+a). ‘P-algebras, an Abstraction from Post Algebras’ (with Alfred Horn).
George Epstein (197 +b). ‘Chain Based Lattices’ (with Alfred Horn).
George Epstein (197 +c). ‘Logics Which are Characterized by Subresiduated Lattices’ (with Alfred Horn).
George Epstein (197 +d). Decisive Implication.
Angelo Fadini (1962). ‘II calcolo della classe in una logica a tre valori di verita’.
G. P. Gavrilov (1964). ‘On Quasi-Peano Functions’ (Russian).
George Georgescu (1969). ‘Algèbres de Lukasiewicz completes’.
George Georgescu (1969a). ‘N-valued Centered Lukasiewicz Algebras’ (with Constant in Vraciu).
George Georgescu (1969b). ‘Le spectre maximal d’une algèbre de Lukasiewicz’ (with Constant in Vraciu).
George Georgescu (1969c). ‘Sur les algèbres de Lukasiewicz centrées’ (with Constant in Vraciu).
George Georgescu (1969d). ‘Sur le spectre maximal d’une algèbre de Lukasiewicz’ (with Constantin Vraciu).
George Georgescu (1969e). ‘Sur les épimorphismes centrées de algèbres de Lukasiewicz’ (with Constant in Vraciu).
George Georgescu (1970). ‘Caractérisation des épimorphismes des algèbres de Lukasiewicz θ-valentes’.
George Georgescu (1970a). ‘La dualité des algèbres de Post θ-valentes’.
George Georgescu (1970b). ‘Les algèbres de Lukasiewicz centrées et axées’ (with Vlad Boicescu).
George Georgescu (1970c). ‘On the Characterization of Centered Lukasiewicz Algebras’ (with Constant in Vraciu).
George Georgescu (1970d). ‘The Centered Epimorphisms and the Construction of the Tensor Product in Lukn’.
George Georgescu (1971). ‘Les algèbres de Lukasiewiz θ-valentes’.
George Georgescu (1971a). ‘Algèbres de Lukasiewicz monadiques et polyadiques’.
George Georgescu (1971b). ‘Théorème de complétitude en logique θ-valente’.
George Georgescu (1971c). ‘The θ-valued Lukasiewicz Algebras. I’.
George Georgescu (197Id). ‘Algebras de Lukasiewicz de orden θ. II’.
George Georgescu (1971e). ‘N-valued Complete Lukasiewicz Algebras’.
George Georgescu (197If)- ‘Algebre Lukasiewicz monadice’ (with Constantin Vraciu).
George Georgescu (1971g). ‘The θ-valued Lukasiewicz Algebras. III’.
George Georgescu (1971h). ‘Les θ-ultrafiltres validants d’algèbre de Lindenbaum-Tarski d’un calcul des prédicats a θ-valeurs’.
George Georgescu (1971i). The θ-valued Lukasiewicz Algebras. IV’.
George Georgescu (1972). ‘Représentation des algèbres de Lukasiewicz θ-valentes polyadiques’.
George Georgescu (1972a). ‘Representations of Locally Finite and of Infinite Degree Polyadic Lukasiewicz Algebras’ (Roumanian).
George Georgescu (197 +a). ‘Monadic and Polyadic Lukasiewicz Algebras’.
George Georgescu (197 +c). ‘La dualité des algèbres de Post θ-valentes’ (with Constantin Vraciu).
A. G. Gorelik (1967). ‘Geometric Interpretation of a Three-valued Algebra’ (Russian).
R. S. Grigolia (1973). ‘Algebraiczeskij analiz n-znacznych logiczeskich sistem Lukasie- wicza-Tarskogo’.
Alfred Horn (1961). ‘Prime Ideal Characterization of Generalized Post Algebras’.
Alfred Horn (1969). ‘Logic with Truth-values in a Linearly Ordered Heyting Algebra’.
Alfred Horn (1969a). ‘Free L-algebras’.
Alfred Horn (1974). ‘Propositional Calculi Based on Subresiduation’ (with George Epstein).
Alfred Horn (1974a). ‘Finite Limitations on a Propositional Calculus for Affirmation and Negation’ (with George Epstein).
Alfred Horn (197+). ‘P-algebras, an Abstraction from Post Algebras’ (with George Epstein).
Alfred Horn (197 +a). ‘Chain Based Lattices’ (with George Epstein).
Alfred Horn (197+b). ‘Logics Which are Characterized by Subresiduated Lattices’ (with George Epstein).
Tsutomu Hosoi (1966a). ‘On the Separation Theorem of Intermediate Propositional Calculi’.
Tsutomu Hosoi (1966b). ‘The Separable Axiomatization of the Intermediate Propositional Systems Sn’.
Seppo Ilkka (1966). A New Arithmetization of Finitely Many-valued Propositional Calculi.
Kiyoshi Iséki (1966). ‘A Pentavalued Logic and Its Algebraic Theory’ (with Shotaro Tanaka).
Kiyoshi Iséki (1966a). ‘Some Three Valued Logics and Its Algebraic Representation’.
Luisa Iturrioz (1969). ‘Erratum: Sur une classe particulière d’algèbres de Moisil’.
S. V. Jablonskiĭ (1972). ‘Decidable Equivalents of Regular Superpositions in P k ’ (Russian) (with E. Ju. Zaharova).
P. Janin (1969). ‘Bases de l’algebrisation de la logique trivalente’.
Milutin M. Jorgović (1969). ‘A Remark Concerning a Base for Many-valued Propositional Algebra’ (Serbo-Croatian).
L. A. Kalužnin (1969). ‘Galois Theory for Post Algebras. I, II’ (Russian) (with V. G.
Bodnarcuk and V. N. Kotov and B. A. Romov).
Andy N. C. Kang (1974). ‘On the Boolean Functions Over 4-element Boolean Algebra’ (with Stewart N. T. Chen).
Vladimir G. Kirin (1963). ‘On the Polynomial Representation of Operators in the n-valued Propositional Calculus’.
Vladimir G. Kirin (1968). ‘Post Algebras as Semantic Bases of Some Many-valued Logics’.
Robert Elefter Kirk (1972). Intermediate Logics and Equational Classes of Brouwerian Algebras.
K. L. Kodandapani (1974). ‘Multi-valued Algebraic Generalizations of Reed-Muller Canonical Forms’ (with Rangaswamy V. Setlur).
V. N. Kotov (1969). ‘Galois Theory for Post Algebras. I, II’ (Russian) (with V. G. Bodnarcuk and L. A. Kaluznin and B. A. Romov ).
Valeriĭ B. Kudrjavcev(197lb). ‘On Basic Groups in k-valued Logics’ (with G. N. Blochina).
Valeriĭ B. Kudrjavcev (1973). ‘Ein Vollstandigkeitskriterium bis auf eine gewisse Äquivalenzrelation für eine verallgemeinerte Postsche Algebra’ (with G. N. Blochina and G. Burosch).
Valeriĭ B. Kudrjavcev (1973a). ‘Über verallgemeinerte Postsche Algebren’ (with G. N. Blochina).
Valeriĭ B. Kudrjavcev (1974). ‘On the Functional PΣ’ (Russian).
A. I. Mal’cev (1966). ‘Iterativnye algebry i mnogobrazia Posta’ (Post’s Iterative Algebras and Varieties).
A. I. Mal’cev (1973a). ‘Some Properties of Cellular Subalgebras of a Post Algebra and their Basic Cells’ (Russian).
Grzegorz Malinowski (1973). ‘MVk Algebras’.
Grzegorz Malinowski (1974). ‘S-algebras for n-valued Sentential Calculi of Łukasiewicz’.
Grzegorz Malinowski (1974a). ‘S-algebras and the Degrees of Maximality for Three- and Four-Valued Logics of Łukasiewicz’.
Grzegorz Malinowski (1974b). ‘Degrees of Maximality of Some ukasiewicz Logics’.
W. Marek (1969). ‘Generalized Łukasiewicz Algebras’ (with Tadeusz Traczyk).
Antoine Marquetty (1974 abstract). ‘Generalized Many-valued Logics’.
Gemot A. Metze (1971). ‘Some Relationships Between Post and Boolean Algebras’ (with A. S. Wojcik).
Gemot A. Metze (1972). ‘A Generalized Equivalence Relation for Post Algebras’ (with Edgar G. DuCasse).
Grigor Constantin Moisil (1936). ‘Recherches sur l’algèbre de la logique’.
Grigor Constantin Moisil (1940-41). ‘Sur la structure algèbrique de la logique de M. Bochvar’.
Grigor Constantin Moisil (1941c). ‘Contributions a l’ètude des logiques non-chrysippiennes. I. Un nouveau système d’axiomes pour les algèbres Łukasiewicziennes tetra-valentes’.
Grigor Constantin Moisil (1942b). ‘Contributions a l’ètude des logiques non-chrysippiènnes. II. Anneaux engendrés par les algebrés Łukasiewicziennes tetravalentes centrées’.
Grigor Constantin Moisil (1942c). ‘Contributions a l’étude des logiques non-chrysippiènnes. III. Anneaux engendrés par les algèbres Łukasiewicziennes tetravalentes axées’.
Grigor Constantin Moisil (1960a). ‘Sur les idéaux des algèbres Łukasiewicziennes tri-valentes’.
Grigor Constantin Moisil (1963a). ‘Le algebre di Lukasiewicz’.
Grigor Constantin Moisil (1972a). ‘Les ensembles flous et la logique à trois valeurs’.
Grigor Constantin Moisil (1972e). ‘Les axiomes de algèbres de Lukasiewicz n-valentes.’
Grigor Constantin Moisil (1972f). ‘Sur les algèbres de Lukasiewicz θ-valentes’.
António Monteiro (1963). ‘Sur la définition des algèbres de Łukasiewicz trivalentes’.
António Monteiro (1965). ‘Boolean Elements in Łukasiewicz Algebras. II’ (with Roberto Cignoli).
António Monteiro (1967). ‘Construction des algèbres de Lukasiewicz trivalentes dans les algèbres de Boole monadiques. I’.
Luiz F. T. Monteiro (1963). ‘Axiomes independent pour les algebres de Łukasiewicz trivalentes’.
Luiz F. T. Monteiro (1965a). ‘Sur les algèbres de Łukasiewicz injectives’.
Luiz F. T. Monteiro (1970). ‘Les algèbres de Heyting et de Łukasiewicz trivalentes’.
Luiz F. T. Monteiro (1970a). ‘Extension d’homomorphismes dans les algèbres de Lukasiewicz trivalentes’.
Luiz F. T. Monteiro (1972). ‘Algèbre du calcul propositionnel trivalent de Heyting’.
V. L. Murskij (1965). ‘Suśćéstvovanie v trehznačnoj logiké zamknutogo klassa s konéčnymbazisom, né imme’úščego konéčnoj polnoj sistémy toždéstv’ (The Existence in Three- valued Logic of a Closed Class with Finite Basis, Not Having a Finite, Complete System of Identities).
Gh. S. Nadiu (1967). ‘On a Method of Construction of Trivalent Lukasiewicz Algebras’ (Roumanian).
Nguen Cat-Ho (1972). ‘Generalized Algebras of Post and Their Applications to Infinitely Many-valued Logics with Infinitely Long Formulas’.
Nguen Cat-Ho (1973). ‘Generalized Post Algebras and Their Application to Some In- finitary Many-valued Logics’.
Alexandru Petcu (1968). ‘The Definition of the Trivalent Lukasiewicz Algebras in Three Equations’.
Nicolae Popovici (1968). ‘On the Consensus Theory for the Trivalent Argument Functions’.
R. Pöschel (1973). ‘Postsche Algebren von Funktionen über einer Familie endlicher Mengen’.
R. Pöschel (1973a). ‘Postsche Algebren von Funktionen über einer Familie endlicher Mengen’.
Dhiraj K. Pradhan (1974). ‘A Multi-valued Switching Algebra Based on Finite Fields’.
F. P. Preparata (1972). ‘Continuously Valued Logic’ (with R. T. Yeh).
Helena Rasiowa (1969). ‘A Theorem on the Existence of Prime Filters in Post Algebras and the Completeness Theorem for Some Many-valued Predicate Calculi’.
Helena Rasiowa (1972a). ‘On Logical Structure of Programs’.
Helena Rasiowa (1973). ‘On Generalized Post Algebras of Order ω+ and ω+valued Predicate Calculi’.
Helena Rasiowa (1973a). ‘On a Logical Structure of Mixed-valued Programs and the ω+ -valued Algorithmic Logic’.
Helena Rasiowa (1974). An Algebraic Approach to Non-classical Logics.
Helena Rasiowa (197 +). ‘Post Algebras as a Semantic Foundation of Many-valued Logics’.
Juliusz Reichbach (1967). Boolean Many Valued Calculi With Quantifiers and a Homogeny Proof of Gödel-Skolem-Löwenheim-Herbrand’s Theorems.
David C. Rine (1973a). ‘Conditional and Post Algebra Expressions’.
David C. Rine (1974). ‘There is More to Boolean Algebra Then You Would Have Thought’.
B. A. Romov (1971). ‘On Unimprimitive Bases of Maximal Post Subalgebras’ (Russian).
B. A. Romov (1969). ‘Galois Theory for Post Algebras. I, II’ (Russian) (with V. G. Bodnarcuk and L. A. Kaluznin and V. N. Kotov ).
Alan Rose (1966-68). ‘An Algebraic Model of the m-valued Propositional Calculus with Variable Functors’.
Ivo G. Rosenberg (1969). ‘Über die Verschiedenheit maximaler Klassen in Pk’.
Ivo G. Rosenberg (1970). ‘Complete Sets for Finite Algebras’.
George H. Rousseau (1969). ‘Logical Systems with Finitely Many Truth-values’.
George H. Rousseau (1970a). ‘Post Algebras and Pseudo-Post Algebras’.
V. L. Rvačov (1968). ‘Rk-functions’ (Ukrainian) (with L. Ī. Škljarov).
Albert Sade (1969a). ‘Algèbre de Łukasiewicz dans la logique trivalente’.
Arto Salomaa (1963a). On Essential Variables of Functions, Especially in the Algebra of Logic.
Achilles A. Sarris (1972). ‘The Relationship Between Multi-valued Switching Algebra and Boolean Algebra Under Different Definitions of Complement’ (with Stephan Y. H. Su).
Halina Savicka (1971). ‘On Some Properties of Generalized Post Algebras’.
Halina Savicka (1972). ‘On Some Properties of Post Algebras with Countable Chain of Constants’.
Peter Schofield (1969). ‘Independent Conditions for Completeness of Finite Algebras With a Single Generator’.
Michel Serfati (1973). ‘Sur les polynômes postiens’.
Rangaswamy V. Setlur (1974). ‘Multi-valued Algebraic Generalizations of Reed-Muller Canonical Forms’ (with K. L. Kodandapani).
Stewart N. T. Shen (1974). ‘On the Boolean Functions Over 4-element Boolean Algebra’ (with Andy N. C. Kang).
V. I. Shestakov (1941). ‘Algèbra dvuhpolusnyh shém, postroénnyh isklúčitel’no iz dvuh- polusnikov (algèbra A-shém).
Corneliu O. Sicoe (1966). ‘Elemente strict chrysippience în algebre lukasiewiczien poly- valente’ (Strict Chrysippian Elements in Polyvalent Lukasiewicz Algebras).
Corneliu O. Sicoe (1967). ‘Sur les idéaux des algèbres lukasiewicziennes polyvalentes’.
Corneliu O. Sicoe (1967a). ‘On Many-valued Łukasiewicz Algebras’.
Corneliu O. Sicoe (1967b). ‘A Characterization of Lukasiewiczian Algebras. I’.
Corneliu O. Sicoe (1967c). ‘A Characterization of Lukasiewiczian Algebras. II’.
Corneliu O. Sicoe (1967d). ‘Note asupra algebrelor lukasiewiczienne polivalente’.
Corneliu O. Sicoe (1968). ‘Sur le définition des algèbres lukasiewicziennes polyvalentes’.
L. Ī. Škljarov (1968). ‘Rk-functions’ (Ukrainian) (with V. L. Rvačov).
M. Stojakovic (1966). ‘Matrizeninversion in der algebraischen Theorie der Wahrheits- funktionen der mehrwertigen Logik’.
Stephan Y. H. Su (1971). ‘Algebraic Properties of Multi-valued Symmetric Switching Functions’ (with Peter T. Cheung).
Stephan Y. H. Su (1972). ‘The Relationship Between Multi-valued Switching Algebras and Boolean Algebra under Definitions of Complement’ (with Achilles A. Sarris).
Wojciech Suchon (1972). ‘On Non-equivalence of Two Definitions of the Algebras of Łukasiewicz’.
Wojciech Suchon (1972a). ‘Non-equivalence of Certain Definitions of Infinite Łukasiewicz Algebras’.
Wojciech Suchon (1972b). ‘Inequivalence des deux definitions des algebres de Łukasiewicz’.
Wojciech Suchon (1974b). ‘Matrix Lukasiewicz Algebras’.
Wojciech Suchon (197 +). ‘Matrix Lukasiewicz Algebras’.
Stanisław J. Surma (1973 abstract). ‘A Method of the Construction of Łukasiewiczian Algebras and Its Application to Gentzen-style Characterization of Lukasiewiczian Logics’.
Stanisfaw J. Surma (1974). ‘A Method of the Construction of Finite Lukasiewiczian Algebras and Its Application to Gentzen-stile Characterization of Finite Logics’.
Moto-o Takahashi (1967). ‘Many-valued Logics of Extended Gentzen Style I’.
Moto-o Takahashi (1970). ‘Continuous λ-Є Logics’.
Moto-o Takahashi (1970a). ‘Many-valued Logics of Extended Gentzen Style II’.
Moto-o Takahashi (1971 abstract). ‘On the Consistency of the Comprehension Axiom in Continuous Logic’.
Shotaro Tanaka (1966). ‘A Pentavalued Logic and Its Algebraic Theory’ (with Kiyoshi Iseki).
S. Termini (1972). ‘Algebraic Properties of Fuzzy Sets’ (with A. de Luca).
Marek Tokarz (1974). ‘Binary Functions Definable in Implicational Godel Algebras’.
Tadeusz Traczyk (1962). ‘On Axioms and Some Properties of Post Algebras’.
Tadeusz Traczyk (1963). ‘Some Theorems on Independence in Post Algebras’.
Tadeusz Traczyk (1963a). ‘Axioms and Some Properties of Post Algebras’.
Tadeusz Traczyk (1964). ‘A Generalization of Loomis-Sikorski’s Theorem’.
Tadeusz Traczyk (1964a). ‘An Equational Definition of a Class of Post Algebras’.
Tadeusz Traczyk (1965). ‘Weak Isomorphism of Boolean and Post Algebras’.
Tadeusz Traczyk (1967). ‘On Post Algebras With Uncountable Chain of Constants. Algebras of Homomorphisms’.
Tadeusz Traczyk (1968). ‘Prime Ideals in Generalized Post Algebras’.
Tadeusz Traczyk (1969). ‘Generalized Łukasiewicz Algebras’ (with W. Marek).
Janez Usan (1965). ‘Definition of a Constructability in Algebraic Systems with Finite Sets (Partial and Many-valued) of N-operations and Some of Their Properties’ (Serbo- Croatian).
J. C. Varlet (1968). ‘Algebres de Lukasiewicz trivalentes’.
J. C. Varlet (1969). ‘Considérations sur les algèbres de Lukasiewicz trivalentes’.
V. V. Visin (1963). ‘Toždésvénnyé préobrazovaniá v čétyréhznačnoj logiké’ (Identical Transformations in Four-place Logic).
Constantin Vraciu (1969). ‘N-valued Centered Lukasiewicz Algebras’ (with George Georgescu).
Constantin Vraciu (1969a). ‘Le spectre maximal d’une algèbre de Lukasiewicz’ (with George Georgescu).
Constantin Vraciu (1969b). ‘Sur les algèbres de Lukasiewicz centrées’ (with George Georgescu).
Constantin Vraciu (1969c). ‘Sur le spectre maximal d’une algèbre de Lukasiewicz’ (with George Georgescu).
Constantin Vraciu (1969d). ‘Sur les épimorphismes centrées des algèbres de Lukasiewicz’ (with George Georgescu).
Constantin Vraciu (1970). ‘On the Characterization of Centered Lukasiewicz Algebras’ (with George Georgescu).
Constantin Vraciu (197+). ‘La dualité des algèbres de Post θ-valentes’ (with George Georgescu).
Constantin Vraciu (197+a). ‘Algebre Lukasiewicz monadice’ (with George Georgescu).
Donald L. Webb (1938 abstract). ‘A Set of Postulates for an Algebra of n-valued Logic’.
B. Weglorz (1970). ‘A Representation Theorem for Post-like Algebras’.
T. C. Wesselkamper (1974a). ‘Some Completeness Results for Abelian Semigroups and Groups’.
E. Wfodarska (1970). ‘On Representation of Post Algebras Preserving Some Infinite Joins and Meets’.
A. S. Wojcik (1971). ‘Some Relationships Between Post and Boolean Algebras’ (with Gemot A. Metze).
Peter Worthing Woodruff (1969). Foundations of Three-valued Logic.
É. Jú. Zaharova (1972a). ‘Decidable Equivalents of Regular Superpositions in P k ’ ( Russian) (with S. V. Jablonskiĭ).
17. Probabilistic Variants of Many-Valued Logic
Peter Holger Krauss (1966). Probability Logic.
R. S. Michalski (1974). ‘Variable-valued Logic’.
Grigor Constantin Moisil (1972c). ‘La logique des concepts nuancées’.
Nicholas Rescher (1963). ‘A Probabilistic Approach to Modal Logic’.
Imre Ruzsa (1969). ‘Random Models of Logical Systems. I: Models of Valuing Logics’.
Imre Ruzsa (1970). ‘Random Models of Logical Systems. II: Models of Some Modal Logics’.
18. Applications of Many-Valued Logic in Physics
Patrick A. Heelan (1970). ‘Quantum Logic and Classical Logic: Their Respective Roles’.
Karel Lambert (1969). ‘Logic and Microphysics’.
Hilary Putnam (1969). ‘Is Logic Empirical?’.
Bas C. van Fraassen (1974). ‘The Labyrinth of Quantum Logics’.
Circuitry, Switching-Theory and Computer Applications of Many-Valued Logic
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George Abraham (1974). ‘Variable Radix Multistable Integrated Circuits’.
J. Again (1960). Setun (Russian).
T. Aibara (1973). ‘Multiple-valued Variable-threshold Logic and Its Application to the Realization of the Set of Boolean Functions’ (with Y. Takamatsu and K. Murakami).
T. Aibara (1974). ‘Isobaricity for a Set of Multiple-valued Logical Functions and Its Application to the Synthesis of Multi-threshold Elements’ (with Y. Takamatsu and K. Murakami).
W. Alexander (1960). ‘An Introduction to the Ternary Number System’ (with D. J. Morris).
Charles M. Allen (1968). ‘A Minimization Technique for Multiple-valued Logic Systems’ (with Donald D. Givone).
Charles M. Allen (1971). ‘An Approach to Multiple-valued Sequential Circuit Synthesis’ (with E. Zavisca).
Charles M. Allen (1973). ‘Applying Multiple-valued Algebra Concepts to Neural Modeling’ (with R. F. Mattrey and Donald D. Givone).
Charles M. Allen (1973a). ‘Coordinate Representation and Structural Invariants for Many-valued Switching Functions’.
D. J. Anderson (1963). ‘A Magnetic Ternary Device’ (with D. L. Dietmeyer).
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H. Arango (1970). ‘A Cyclic Algebra for the Synthesis of Ternary Digital Systems’ (with J. Santos and M. Pascual and G. Roing).
T. Asabe (1972). ‘Multilevel Balanced Code with Redundant Digits’ (with Yoshikazu Tezuka).
T. Asabe (1972a). ‘On Cyclic Multilevel Codes’ (with H. Nakanishi and Yoshikazu Tezuka).
T. Asabe (1972b). ‘Spectral Density of Cyclic Multilevel Code’ (with H. Nakanishi and Yoshikazu Tezuka).
H. Ataka (1972). ‘On the Definition of Ternary Threshold Functions’.
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J. S. Bailey (1966). ‘Generalized Single-ended Counters’.
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Richard E. Bellman (1970). ‘Decision-making in a Fuzzy Environment’ (with Lufti A. Zadeh).
Richard E. Bellman (1973). ‘On the Analytic Formalism of the Theory of Fuzzy Sets’ (with Magnus Giertz).
J. E. Birk (1974). ‘Design of Multi-valued Combinational Switching Circuits Using Principally Binary Components’ (with D. E. Farmer).
A. Bittner (1973). ‘A Ternary Positional Automatic Control System’ (with Claudio Moraga).
W. Bitts (1943). ‘A Logical Analysis of the Ideas Immanent in Nervous Activity’ (with W. S. McCulloch).
C. Bohm (1966). ‘Flow Diagrams, Turing Machines, and Languages with Only Two Formation Rules’ (with G. Jacopini).
R. C. Braddock (1971). ‘Multiple-valued Logic Design and Applications in Binary Computers’ (with George Epstein and M. Yamanaka).
M. A. Breuer (1973). ‘The Smallest Many-valued Logic for Treatment of Complemented and Uncomplemented Error Signals’ (with George Epstein).
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N. P. Brusentzov (1965). ‘A Ternary Arithmetic Machine’ (Russian).
A. Cabanes (1973). ‘Minimal Representation of a Function of Several Finite Variables - Applications to Data Bank’ (with E. Pichet).
Robert G. Cain (1974). ‘A Practical Approach to Two-level Minimization of Multivalued Logic’ (with Daniel L. Ostapko and Se June Hong).
J. W. Carr III (1959). ‘A Visit to Computation Centers in the Soviet Union’ (with A. J. Perlis and J. E. Robertson and N. R. Scott).
Chin-liang Chang (1971). ‘Some Properties of Fuzzy Logic’ (with Richard C. T. Lee).
Y. Chao (1973). ‘A Balanced Ternary Computer’ (with Gideon Frieder and A. Fong).
Peter T. Cheung (1971a). Computer-oriented Algorithm for Minimizing Multi-valued
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Peter T. Cheung (1972). ‘Computer Minimization of Multi-valued Switching Functions’ (with Stephan Y. H. Su).
Henry Y. H. Chuang (1974). ‘On the Design of Reliable and Fail-safe Digital Systems Using Multiple-valued Logic’ (with Santanu Das).
M. Cohn (1961). ‘Canonical Forms of Functions in p-valued Logics’.
G. A. Cooper (1972). ‘Toward a Characterization of Logically Complete Switching Functions in k-valued Logic’.
P. F. Curran (1973). ‘Obtaining Self-testing Logic Through the Application of Threshold Logic and an A. C. Logic Code’.
Santanu Das (1974). ‘On the Design of Reliable and Fail-safe Digital Systems Using Multiple-valued Logic’ (with Henry Y. H. Chuang).
Robert L. Davis (1974). ‘Uniform Shift Networks’.
L. Dietmeyer (1963). ‘A Magnetic Ternary Device’ (with D. J. Anderson).
J. W. Dijkstra (1968). ‘GO TO Statements Considered Harmful’.
J. R. Donaldson (1973). ‘Structured Programming’.
A. Druzeta (1973). ‘Multi-threshold Circuits in the Design of Multi-state Storage Elements’ (with A. S. Sedra).
A. Druzeta (1974). ‘Electronic Implementation of Multi-valued Logic Networks’ (with Zvonko G. Vranesic and Kenneth C. Smith).
A. Druzeta (197 +). ‘Application of Multi-threshold Elements in the Realization of Many- valued Logic Networks’ (with Zvonko G. Vranesic and Kenneth C. Smith).
Edgar G. DuCasse (1973). ‘Hazard-free Realizations of Boolean Functions Using Post Functions’ (with Gemot A. Metze).
Edgar G. DuCasse (1974a). ‘Application of a Multi-valued Gate to the Design of Fault- tolerant Digital Systems’ (with Stephan Y. H. Su).
Edgar G. DuCasse (1975). ‘Comments on “The Relationship Between Multivalued Switching Algebra and Boolean Algebra Under Different Definitions of Complement’” (with Gemot A. Metze).
H. Dunderdale (1969). ‘Current-mode Circuits for Ternary-logic Realization’.
H. Dunderdale (1970). ‘Current-mode Circuits for the Unary Functions of a Ternary Variable’.
E. Eichelberger (1965). ‘Hazard Detection in Combinational and Sequential Circuits’.
K. A. El Ayat (1971). ‘Application of Multi-valued Cyclic Codes’ (with Zvonko G. Vranesic).
Engineering Research Associates (1950). High-speed Computing Devices.
George Epstein (1959). ‘A General Design Theory for Digital Computers’.
George Epstein (1962). ‘Single Function Shifting Counters’ (with J. S. Bailey).
George Epstein (1971b). ‘Multiple-valued Logic Design and Applications in Binary Computers’ (with R. C. Braddock and Hideki Yamanaka).
George Epstein (1972a). ‘Multiple-valued Signal Process with Limiting’.
George Epstein (1972b). ‘Tri-stable State Circuitry for Digital Computers’ (with Hideki Yamanaka).
George Epstein (1973b). ‘The Smallest Many-valued Logic for Treatment of Complemented and Uncomplemented Error Signals’ (with M. A. Breuer).
George Epstein (1974). ‘The Development of Multiple-valued Logic as Related to Computer Science’ (with Gideon Frieder and David C. Rine).
George Epstein (1974c). ‘A Summary of the Development of Multiple-valued Logic as Related to Computer Science’ (with Gideon Frieder and David C. Rine).
George Epstein (197 +). ‘The Extension of FSR’s to FSCR’s for p ≥ 2’.
George Epstein (197 +e). From Fixed to Mixed Radix.
Daniel Etiemble (1974). ‘A New Concept for Ternary Logic Elements’ (with Michael Israel).
D. E. Farmer (1974). ‘Design of Multi-valued Combinational Switching Circuits Using Principally Binary Components’ (with J. E. Birk).
A. Fong (1973). ‘A Balanced Ternary Computer’ (with Gideon Frieder and C. Y. Chao).
C. Foulk (1972). ‘Smooth Programs and Languages’ (with O. Juelich).
R. V. Freĭvald (1968). ‘The Completeness to Within Coding of Systems of Functions of a k-valued Logic and the Complexity of Its Recognition’ (Russian).
Gideon Frieder (1972). ‘Ternary Computers—Why and How’.
Gideon Frieder (1973). ‘A Balanced Ternary Computer’ (with A. Fong and C. Y. Chao).
Gideon Frieder (1974). ‘The Development of Multiple-valued Logic as Related to Computer Science’ (with George Epstein and David C. Rine).
Gideon Frieder (1974a). ‘A Summary of the Development of Multiple-valued Logic as Related to Computer Science’ (with George Epstein and David C. Rine).
K. S. Fu (1969). ‘A Formulation of Fuzzy Automata and Its Application as a Model of Learning Systems’ (with William G. Wee).
Y. Fujita (1971). ‘Homomorphisms of Logical Functions and Their Applications’ (with Tadahiro Kitahashi and Kokichi Tanaka).
Y. Fujita (1972). ‘A Consideration of Compositions of Many-valued Logical Functions’ (with Tadahiro Kitahashi and Kokichi Tanaka).
Y. Fujita (1972a). ‘An Extension of the Theorem of Isomorphism Concerning the Compositions of Many-valued Switching Functions’ (with Tadahiro Kitahashi and Kokichi Tanaka).
Y. Fujita (1973). ‘Decomposition of Multi-valued Switching Functions and Its Application to Threshold Networks’ (with Hisashi Mine).
T. Fukumura (1972). ‘A Problem in the Many-valued Threshold Logic and Its Solution’ (with T. Haga and K. Abe).
P. Gavrilov (1966). Funkcii algebry logiki i klassy Posta (with S. V. Jablonskiĭ and Valeriĭ B. Kudrjavcev ).
Magnus Giertz (1973). ‘On the Analytic Formalism of the Theory of Fuzzy Sets’ (with Richard Bellman).
Donald D. Givone (1968). ‘A Minimization Technique for Multiple-valued Logic Systems’ (with Charles M. Allen).
Donald D. Givone (1968a). Final Report on the Design of Multiple-valued Logic Systems (with R. W. Snelsire).
Donald D. Givone (1973). ‘Applying Multiple-valued Algebra Concepts to Neural Modeling’ (with R. F. Mattrey and Charles M. Allen).
J. A. Goguen (1969). ‘The Logic of Inexact Concepts’.
S. W. Golomb (1967). Shift Register Sequences.
D. H. Green (1973). ‘Nonlinear Ternary Feedback Shift Registers’ (with R. G. Kelsch).
J. R. Grosch (1952). ‘Signed Ternary Arithmetic’.
Jorge Gutierrez (1974). ‘Critical Races in Fundamental Mode Ternary Sequential Machines’ (with Claudio Moraga).
Jorge Gutierrez (1974a). ‘Multi-threshold Periodic Ternary Threshold Logic’ (with Claudio Moraga).
H. Haberlin (1970). ‘Arithmetische Operationen mit binar codierten Ternarzahlen’ (with H. Muller).
T. Haga (1972). ‘A Problem in the Many-valued Threshold Logic and Its Solution’ (with K. Abe and T. Fukumura).
R. P. Hallworth (1962). ‘Semiconductor Circuits for Ternary Logic’ (with F. G. Heath).
Israel Halpern (1968). ‘Ternary Arithmetic Unit’ (with Michael Yoeli).
H. C. Hamacher (1971). ‘Multi-valued versus Binaiy High Speed Multipliers’ (with Zvonko G. Vranesic).
H. C. Hamacher (1972). ‘Ternary Logic in Parallel Multipliers’ (with Zvonko G. Vranesic).
D. Hampel (1973). ‘Multifunction Threshold Gates’.
D. Hampel (1973a). ‘Threshold Logic Multiplier’ (with L. Micheel and K. Prost).
M. Hanzawa (1938). ‘The Theory of Equivalent Transformation of Simple Partial Paths in the Relay Circuit’ (with A. Nakasima).
Toshiharu Hasegawa (1964). ‘Tunnel Diode Circuits for Ternaiy Logic’ (with Y. Nagaoka and Yoshikazu Tezuka and Yoshiro Kashara).
Toshiharu Hasegawa (1969). ‘Construction and Analysis of a Tri-stable Circuits and Its Application to Ternary Feedback Register’ (with Hisashi Mine and Yoshiahi Koga and M. Ideda and T. Shintani).
Toshiharu Hasegawa (1971). ‘Four Ternary Arithmetic Operations’ (with Hisashi Mine and Ryosaku Shimada).
F. G. Heath (1962). ‘Semiconductor Circuits for Ternary Logic’ (with R. P. Hallworth).
Se June Hong (1974). ‘A Practical Approach to Two-level Minimization of Multi-valued Logic’ (with Daniel L. Ostapko and Robert G. Cain).
S. L. Hurst (1968). ‘An Extension of Binary Minimisation Techniques to Ternary Equations’.
S. L. Hurst (1968a). ‘Semiconductor Circuits for 3-state Logic Applications’.
M. Ideda (1969). ‘Construction and Analysis of a Tri-stable Circuit and Its Application to Ternary Feedback Register’ (with Hisashi Mine and Toshiharu Hasegawa and Yoshiahi Koga and T. Shintani).
A. Imamiya (1973). ‘Ternary Threshold Logic Networks Realizing Three-valued Multi- threshold Functions’ (with S. Noguchi and J. Oizumi).
T. A. Irving (1973). ‘An Approach to Multi-valued Sequential Logic’ (with H. T. Nagle, Jr.).
Michael Israel (1974). ‘A New Concept for Ternary Logic Elements’ (with Daniel Etiemble).
Y. L. Ivas’kiv (1971). Principles of Multi-valued Implementation Schemes (Russian).
S. V. Jablonskiĭ (1966). Funkcii algebry logiki i klassy Posta (with G. P. Gavrilov and Valeriĭ
Kudrjavcev).
G. Jacopini (1966). ‘Flow Diagrams, Turing Machines and Languages With Only Two Formation Rules’ (with C. Böhm).
L. Janczewski (1970). Practical Realization of Multi-valued Logic Circuits.
L. Janczewski (1971). ‘Circuit Implementations of Multi-valued Logic’ (with Kenneth
Smith and Zvonko G. Vranesic).
L. Janczewski (1973). ‘Geometrical Approach to Multi-valued Logic Function Synthesis’.
I. B. Jordan (1974). ‘Integrated Circuits for Ternary Logic’ (with H. T. Mouftah).
O. Juelich (1972). ‘Smooth Programs and Languages’ (with C. Foulk).
Abraham Kandel (1974). ‘Fuzzy Representation, CNF Minimization and Their Application to Fuzzy Transmission Structures’.
A. Kaniel (1973). ‘Trilogic, a Three-level Logic System Provides Greater Memory Density’.
Yoshiro Kasahara (1964). ‘Tunnel Diode Circuits for Ternary Logic’ (with Toshiharu Hasegawa and Y. Nagaoka and Yoshikazu Tezuka).
Yoshiro Kasahara (1969). ‘The Characterizing Parameters of Ternary Logical Functions and Their Applications to Threshold Logical Functions’ (with Tadahiro Kitahashi and Hirosato Nomura and Yoshikazu Tezuka).
Yoshiro Kasahara (1970). ‘Monotonicity of Ternary Logical Functions and Its Applications to the Analysis of Ternary Threshold Functions’ (Japanese) (with Tadahiro Kitahashi and Yoshikazu Tezuka and Hirosato Nomura).
Y. A. Keir (1963). ‘The Functional Capability of the Saturable Hall Logic Element’.
R. G. Kelsch (1973). ‘Nonlinear Ternary Feedback Registers’ (with D. H. Green).
M. Kimura (1972). ‘Testing and Realization of Ternary Threshold Functions’ (with H. Mizuma).
Tadahiro Kitahashi (1969). ‘The Characterizing Parameters of Ternary Logical Functions and Their Applications to Threshold Logical Functions’ (with Hirosato Nomura and Yoshikazu Tezuka and Yoshiro Kasahara).
Tadahiro Kitahashi (1970). ‘Monotonicity of Ternary Logical Functions and Its Applications to the Analysis of Ternary Threshold Functions’ (Japanese) (with Yoshikazu Tezuka and Yoshiro Kasahara and Hirosato Nomura).
Tadahiro Kitahashi (1971). ‘Homomorphisms of Logical Functions and Their Applications’ (with Y. Fujita and Kokichi Tanaka).
Tadahiro Kitahashi (1972). ‘A Consideration on Compositions of Many-valued Logical Functions’ (with Y. Fujita and Kokichi Tanaka).
Tadahiro Kitahashi (1972a). ‘An Extension of the Theorem of Isomorphism Concerning the Composition of Many-valued Switching Functions’ (with Y. Fujita and Kokichi Tanaka).
Stephen Cole Kleene (1956). ‘Representation of Events in Nerve Nets and Finite Automata’.
D. E. Knuth (1969). The Art of Computer Programming. Volume 2: Seminumerical Algorithms.
Yoshiahi Koga (1969). ‘Construction and Analysis of a Tri-stable Circuit and Its Application to Ternary Feedback Register’ (with Hisashi Mine and Toshiharu Hasegawa and M. Ideda and T. Shintani).
Teuvo Kohonen (1974). ‘On the Implementation of Logic and Tables by Linear Networks’.
Ladislav Kohout (1974). ‘The Pinkava Many-valued Complete Logic Systems and Their Applications in the Design of Many-valued Switching Circuits’.
C. F. Kooi (1964). ‘Nonlinear Hall-effects Ternary Logic Element’ (with J. L. Wenver).
H. Koukkunen (1972). ‘Some Applications of Many-valued Threshold Logic in Digital Arithmetic’ (with L. Ojala).
E. V. Krishmanurty (1964). ‘An Algebra for (m + p) Switching Circuits’.
Valeriĭ B. Kudrjavcev (1966). Funkcii algebry iklassy Posta (with S. V. Jablonskiĭ and G. P. Gavrilov ).
I. Lam (1974). ‘Multiple-valued Pseudorandom Number Generators’ (with Zvonko G. Vranesic).
E. S. Lee (1970). ‘A Many-valued Algebra for Switching Systems’ (with Zvonko G. Vranesic and Kenneth C. Smith).
Richard C. T. Lee (1971). ‘Some Properties of Fuzzy Logic’ (with Chin-liang Chang).
Richard C. T. Lee (1972). ‘Fuzzy Logic and the Resolution Principle’.
A. Lempicki (1974). ‘A New Look at Optical Logic’.
M. Liebler (1971). ‘Multiple-real-valued Walsh Functions’ (with R. Roesser).
V. D. Majstrova (1960). ‘Priménénié mnogoznačnoj logiki v teorii réléjnyh shém’ (Application of Many-valued Logics in the Study of Relay Networks).
V. D. Majstrova (1961). ‘Réléjnye shémy i mnogoznačinaà loguika’ ( Relay Networks and Many-valued Logics) (with V. I. Roghinski).
Peter N. Marinos (1969). ‘Fuzzy Logic and Its Application to Switching Systems’.
V. V. Martyniuk (1960). ‘Issledovanie nekotorykh klassov functsij v mnogoznačnykh logikakh, II’.
S. P. Maslov (1962). ‘The Setun’ Small Automatic Digital Computer’ (Russian) (with N. P. Brusentzov and Y. A. Zhogolev and V. V. Verigin and A. M. Tishulina ).
R. F. Mattrey (1973). ‘Applying Multiple-valued Algebra Concepts to Neural Modeling’ (with Donald D. Givone and Charles M. Allen).
N. McCoy (1937). ‘A Representation of Generalized Boolean Rings’ (with D. Montgomery).
W. S. McCulloch (1943). ‘A Logical Analysis of the Ideas Immanent in Nervous Activity’ (with W. Pitts).
J. F. McDonald (1974). ‘Extensions of the Weiner-Smith Algorithm for m-ary Synchronous Sequential Circuit Design’ (with Inder Singh).
Gemot A. Metze (1955). ‘An Application of Multi-valued Logic Systems to Circuits’.
Gemot A. Metze (1973). ‘Hazard-free Realizations of Boolean Functions Using Post Functions’ (with Edgar G. DuCasse).
Gemot A. Metze (1975). ‘Comments on “The Relationship Between Multivalued Switching Algebra and Boolean Algebra Under Different Definitions of Complement’” (with Edgar G. DuCasse).
L. Micheel (1973). ‘Threshold Logic Multiplier’ (with D. Hampel and K. Prost).
M. Miller (1973). ‘Decompositions of Ternary Switching Functions’ (with J. C. Muzio).
D. M. Miller (1974). ‘A Ternary Cellular Array’ (with J. C. Muzio).
Hisashi Mine (1969). ‘Construction and Analysis of a Tri-stable Circuit and Its Application to Ternary Feedback Register’ (with Toshiharu Hasegawa and Yoshiahi Koga and M. Ideda and T. Shintani).
Hisashi Mine (1970). ‘Permutations and Lattice Operations in Many-valued Logic’ (Japanese) (with Ryoskau Shimada).
Hisashi Mine (1971). ‘Four Ternary Arithmetic Operations’ (with Toshiharu Hasegawa and Ryoskau Shimada).
Hisashi Mine (1973). ‘Decomposition of Multi-valued Switching Functions and Its Application to Threshold Networks’ (with S. Fujita).
MIT Computing Center (1971). LISP 1.5.
M. Mizumoto (1972). ‘General Formulation of Formal Grammars’ (with J. Toyoda and Kikochi Tanaka).
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Grigor Constantin Moisil (1960c). Logica matematica si teknica moderna: logicile cu mai multe valorisi circuitele cu contacte si relee ( Mathematical Logic and Modern Technology: Many-valued Logic and Relay-contact Networks).
Grigor Constantin Moisil (1961a). ‘Les logiques à plusieurs valeurs et l’automatique’.
Grigor Constantin Moisil (1966). Zastoswanie algebra Łukasiewicza do teorii układow przekaznikowo-stykowych. Volume 1 (Application of Łukasiewiczian Algebra to the Study of Relay-contact Networks).
Grigor Constantin Moisil (1967). Zastoswanie algebra Łukasiewicza do teorii ułiadow przekaznikowo-stykowych. Volume 2 (Application of Łukasiewiczian Algebra to the Study of Relay-contact Networks).
Grigor Constantin Moisil (1971). ‘Les états transitoires dans les circuits séquentiels’.
Grigor Constantin Moisil (1972b). ‘Exemples de propositions à plusieurs valeurs’.
D. Montgomery (1937). ‘A Representation of Generalized Boolean Rings’ (with N. McCoy).
Claudio Moraga (1971). ‘A Tri-stable Circuit for Synchronized Sequential Machines’.
Claudio Moraga (1972). ‘Non-linear Ternary Threshold Logic’.
Claudio Moraga (1973). ‘A Ternary Positional Automatic Control System’ (with A. Bittner).
Claudio Moraga (1974). ‘Minimal Realization of Ternary Threshold Functions’ (with Jorge Nazarala).
Claudio Moraga (1974a). ‘Critical Races in Fundamental Mode Ternary Sequential Machines’ (with Jorge Gutierrez).
Claudio Moraga (1974b). ‘Multi-threshold Periodic Ternary Threshold Logic’ (with Jorge Gutierrez).
R. Mori (1972). ‘On an Extended Threshold Logic as a Unit Cell of Array Logics’.
J. Morris (1960). ‘An Introduction of the Ternary Code Number System’ (with W. Alexander).
John M. Motil (1974). ‘A Multiple-valued Digital ‘Saturation’ System’.
H. T. Mouftah (1974). ‘Integrated Circuits for Ternary Logic’ (with I. B. Jordan).
I. Muehldorf (1958). ‘Ternary Switching Algebra’.
E. I. Muehldorf (1959). ‘Multi-valued Switching Algebras and Their Applications in Digital Systems’.
H. Muller (1970). ‘Arithmetische Operationen mit binar codierten Ternarzahlen’ (with H. Haberlin).
K. Murakami (1973). ‘Multiple-valued Variable-threshold Logic and Its Application to the Realization of the Set of Boolean Functions’ (with T. Aibara and Y. Takamutsu).
K. Murakami (1974). ‘Isobaricity for a Set of Multiple-valued Logical Functions and Its Application to the Synthesis of Multi-threshold Elements’ (with Y. Takamatsu and T. Aibara).
J. C. Muzio (1973b). ‘Decomposition of Ternary Switching Functions’ (with D. M. Miller).
J. C. Muzio (1974). ‘A Ternary Cellular Array’ (with D. M. Miller).
Y. Nagaoka (1964). ‘Tunnel Diode Circuits for Ternary Logic’ (with Toshiharu Hasegawa and Yoshikazu Tezuka and Yoshiro Kasahara).
H. T. Nagle, Jr. (1973). ‘An Approach to Multi-valued Sequential Logic’ (with T. A. Irving).
H. T. Nagle, Jr. (1974). ‘On Multiple-valued Memory Elements’ (with S. G. Shiva).
H. Nakanishi (1972). ‘On Cyclic Multilevel Codes’ (with T. Asabe and Yoshikazu Tezuka).
H. Nakanishi (1972a). ‘Spectral Density of Cyclic Multilevel Code’ (with T. Asabe and Yoshikazu Tezuka).
A. Nakasima (1938). ‘The Theory of Equivalent Transformation of Simple Partial Paths in the Relay Circuit’ (with M. Hanzawa).
Jorge Nazarala (1974). ‘Minimal Realization of Ternary Threshold Functions’ (with Claudio Moraga).
Edmond Nicolau (1965). ‘Sinteza unei clase de automate care modelaza in logica «-valenta cu functii de timp date’.
S. Noguchi (1973). ‘Ternary Threshold Logic Networks Realizing Three-valued Multi- threshold Function’ (with A. Imamiya and J. Oizumi).
Nirosato Nomura (1969). ‘The Characterizing Parameters of Ternary Logical Functions and Their Applications to Threshold Logical Functions’ (with Tadahiro Kitahashi and Yoshikazu Tezuka and Yoshiro Kasahara).
Nirosato Nomura (1970). ‘Monotonicity of Ternary Logical Functions and Its Applications to the Analysis of Ternary Threshold Functions’ (Japanese) (with Tadahiro Kitahashi and Yoshikazu Tezuka and Yoshiro Kasahara).
Nirosato Nomura (1972). ‘Learning of the Multi-threshold Function and Its Application to the Synthesis of Logical Function’.
Nirosato Nomura (1972a). ‘Some Properties of Monotonicity on Many-valued Logic and Their Applications to the Analysis of Many-valued Threshold Functions’.
Nirosato Nomura (1973). ‘Characteristic Vectors of Many-valued Logical Functions and Their Applications to the Realization of Many-valued Threshold Functions’.
R. S. Nutter (1971). ‘A Ternary Logic Minimization Technique’ (with Richard E. Swartwout).
R. S. Nutter (1972). ‘The Algebraic Simplification of a Ternary Full Adder’.
R. Ohba (1968). ‘Some Properties of Mutually Connected Threshold Elements’.
J. Oizumi (1973). ‘Ternary Threshold Logic Networks Realizing Three-valued Multi- threshold Function’ (with A. Imamiya and S. Noguchi).
L. Ojala (1972). ‘Some Applications of Many-valued Threshold Logic in Digital Arithmetic’ (with L. Koukkunen).
L. Ojala (1972a). ‘Design of A/D Converters for Binary Coded Ternary Systems’ (with P. Yrjola).
L. Ojala (1973). ‘Design of Incremental Signal Processing Devices Using Binary Coded Ternary Logic’ (with P. Yrjola).
M. Orsic (1972). ‘Multiple-valued Universal Logic Modules’.
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Wolf, R.G. (1977). A Survey of Many-Valued Logic (1966–1974). In: Dunn, J.M., Epstein, G. (eds) Modern Uses of Multiple-Valued Logic. Episteme, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1161-7_7
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