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Bibliography
Abrahamson K.R. Decidability and expressiveness of logics of processes Tech. Rep. 80-08-01, Univ. of Washington, 1980.
Barwise J. Axioms for abstract model theory Ann. Math. Logic 7, 1974, pp. 221–265.
Berman F. Models for verifiers Rep. of the Dept. of Comp. Sci., Purdue Univ. CSD-TR 343, 1980
Berman F., Peterson G.L. Expressiveness hierarchy for PDL with rich tests manuscript, Dept. of Comp. Sci., Univ. of Washington, 1978.
Ben-Ari M., Halpern J.Y., Pneuli A. Deterministic Propositional Dynamic Logic: finite models, complexity, completeness rep. of MIT, TM-190, 1981 (see also ICALP '81)
Chandra A., Halpern J., Meyer A., Parikh R. Equations between regular terms and an application to Process Logic STOC '81, pp. 384–390.
Chlebus B.S. On the computational complexity of satisfiability in propositional logics of programs Theoretical Comp. Sci. 21(2), 1982, pp. 179–212.
Clarke E.M., Emerson E.A. Design and synthesis of synchronization skeletons using branching time temporal logic LNCS 131, 1981, pp. 52–71.
Clarke E.M., Emerson E.A., Sistla A.P. Automatic verification of finite state concurrent systems using temporal logic specifications: a practical approach POPL 83, pp. 117–126.
Danecki R. Propositional Dynamic Logic with strong loop predicate LNCS 176, 1984, pp. 573–581.
— personal communication (see also this volume)
Emerson E.A. Alternative semantics for temporal logics rep. of the Dept. of Comp. Sci., Univ. of Texas, 1981 (also in: TCS 26, 1983, pp. 121–130).
Emerson E.A., Clarke E.M. Using branching time temporal logic to synthesize synchronization skeletons Sci. of Comp. Programming 2, pp. 241–266, NHolland, 1982.
Emerson E.A., Halpern J.Y. Decision procedures and expressiveness in the Temporal Logic of Branching Time STOC 82, pp. 169 180.
— — "Sometimes" and "not never" revisited: on branching versus linear time POPL 83, pp. 127–140.
— Lei Ch. L. Temporal model checking under generalized fairness constraints rep. Dept. Comp. Sci., Univ. of Texas at Austin, 1984. (also in: 18th Hawaii Int. Conf. Systems Sci., 1985)
Emerson E. A., Lei Ch. L. Modalities for model checking: branching time strikes back POPL 85, pp. 84–96.
Emerson E.A., Street R.S. The propositional μ-calculus is elementary ICALP 84
— Sistla A.P. Deciding Branching Time Logic STOC 84, pp. 14–24.
— — Deciding Full Branching Time Logic Inf. and Control 61(3), 1984, pp. 175–201.
Fischer M.J., Ladner R.E. Propositional Modal Logic of Programs STOC 77, pp. 286–294.
— — Propositional Dynamic Logic of regular programs JCSS 18(2), 1979, pp. 194–211.
Habasiński Z. Process logics: two decidability results LNCS 176, pp. 282 290.
Halpern J.Y. Deterministic Process Logic is elementary FOCS 82, pp 204–216.
— Reif J.H. The Propositional Dynamic Logic of deterministic, well-structured programs rep. of MIT, TM-198, 1981.
Harel D. Two results on Process Logic, Inf. Proc. Lett. 8(4), 1979, pp. 195–198.
— Dynamic Logic rep. CS 83-01 of Weizman Inst. of Sci., 1982 (also in: vol. II of Handbook of Philosophical Logic, Reidel Pub. Co. 1984)
— Recurring dominoes: making the highly undecidable highly understandable LNCS 158, pp. 177–194.
Harel D., Kozen D., Parikh R. Process Logic: expressiveness, decidability, completeness JCSS 25, 1982, pp. 144–170.
— Pnueli A., Sherman R. Is the interesting part of Process Logic uninteresting ? A translation from PL to PDL rep. of Weizman Inst. of Sci. CS 81-26, 1981.
Harel D., Sherman R. Propositional Dynamic Logic of Flowcharts LNCS 158, pp. 195–206, 1983.
Kozen D. On the duality of dynamic algebras and Kripke models rep. RC7893 of IBM Res. Lab. Yorktown Heights, 1979.
— On the representation of dynamic algebras rep. RC7898 of IBM Res. Lab., Yorktown Heights, 1979.
— A representation theorem for models of *-free PDL LNCS 85, 1980.
— On the representation of dynamic algebras II rep. RC8290 of IBM Res. Lab., Yorktown Heights, 1980.
— On induction vs. *-continuity rep. RC8468 of IBM Res. Lab., Yorktown Heights, 1980.
— Results on the Propositional μ-calculus LNCS 140, 1982, pp. 348–359.
— Parikh R. An elementary proof of the completeness of PDL TCS 14, 1981, pp. 113–118.
Manna Z., Wolper P. Synthesis of Communicating Processes from Temporal Logic specifications LNCS 131, 1981,pp. 253–281.
Mayer A., Street R., Mirkowska G. The deducibility problem in Propositional Dynamic Logic LNCS 125, 1981, pp. 12–22.
Mirkowska G. On the Propositional Algorithmic Logic LNCS 74, 1979, pp. 381–389.
— Complete axiomatization of algorithmic properties of program schemes with bounded nondeterministic interpretations STOC 80, pp. 14–21.
— PAL — Propositional Algorithmic Logic Fundamenta Informaticae IV.3, 1981, pp. 675–760. (also in: LNCS 125).
Nishimura H. Descriptively complete Process Logic Acta Informatica 14, 1980, pp. 359–369.
Niwiński D. The propositional μ-calculus is more expressive than the Propositional Dynamic Logic of Looping manuscript Math. Inst. Univ. of Warsaw 1984.
Parikh R. A completeness result for PDL LNCS 64, 1978, pp. 403–415.
— Propositional Logics of Programs POPL 80, pp. 186–192.
— Propositional Dynamic Logics of Programs: a survey LNCS 125, pp. 102–144, 1981.
— Propositional Logics of Programs: new directions LNCS 158, pp. 347–359, 1983.
Passy S.I. Combinatory Dynamic Logic Ph.D. Thesis, Sector of Math. Logic, Sofia Univ., 1984.
Passy S.I., Tinchev T. PDL with data constans, Inf. Proc. Lett. 20, pp. 35–41, 1985.
Pratt V.R. A practical decision method for Propositional Dynamic Logic STOC 78, pp. 326–337.
— Process Logic: preliminary report POPL 79, pp. 93–100.
— Models of Program Logics FOCS 79, pp. 115–122.
— Dynamic algebras: examples, constructions, applications rep. TM-138 of MIT Lab. for Comp. Sci. 1979.
— Dynamic algebras and the nature of induction STOC 80, pp. 22–28.
— A decidable mu-calculus: preliminary report FOCS 81, pp. 421–427.
— Using graphs to understand PDL LNCS 131, pp. 378–396, 1981.
— A near optimal method for reasoning about actions JCSS 20, 1980, pp. 231–254.
Salwicki A. On algorithmic theory of stacks Fundamenta Informaticae vol. III(3), 1980
Salwicki A., Muldner T. On the algorithmic properties of concurrent programs LNCS 125, pp. 169–197, 1981
Sistla A.P., Vardi M.Y., Wolper P.L. Reasoning about infinite computation paths (extended abstract) FOCS 83, pp. 185–194.
Street R.S. Propositional Dynamic Logic of looping and converse STOC 81, pp. 375–383.
— Propositional Dynamic Logic of looping and converse is elementarily decidable Infor. and Control 54, 1982, pp. 121–141.
Thiele H. Propositional Computation Tree Dynamic Logic (PCTDL) Akad. der Wissenschaften der DDR, Inst. fur Theorie, Geschichte u. Organisation der Wissenschaft, Heft 32, 1983, pp. 118–137. (in German)
— A classification of Propositional Process Logics on the basis of automata theory (extended abstract) manuscript, 1984.
Tinchev T., Vakarelov D. Propositional Dynamic Logic with least fixed points which are programs manuscript, Sector of Math. Logic, Sofia Univ., 1984.
Valiev B. On axiomatization of Deterministic Propositional Dynamic Logic LNCS 74, pp. 482–491, 1979.
— Decision complexity of variants of Propositional Dynamic Logic LNCS 88, pp. 656–664, 1980.
Vardi M.Y., Wolper P.L. Authomata-theoretic techniques for modal logics of programs manuscript, 1984 (the first version in: STOC 84 pp. 446–456)
Wechler W. Hoare Algebras versus Dynamic Algebras Coll. Algebra Logic and Combinatorics in Comp. Sci., Györ,1983
Wolper P.L. Synthesis of Communicating Processes from Temporal Logic specifications rep. CS-82-925, Dept. of Comp. Sci., Stanford Univ.
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Habasiński, Z. (1985). Model theory of propositional logics of programs, some open problems. In: Skowron, A. (eds) Computation Theory. SCT 1984. Lecture Notes in Computer Science, vol 208. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-16066-3_10
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