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Leon Henkin and Cylindric Algebras

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The Life and Work of Leon Henkin

Part of the book series: Studies in Universal Logic ((SUL))

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Abstract

This is a description of the contributions of Leon Henkin to the theory of cylindric algebras.

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References: Publications of Henkin Concerning Cylindric Algebras

  1. The algebraic structure of mathematical theories. Bull. Soc. Math. Belg. 7, 137–141 (1955)

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  2. The representation theorem for cylindric algebras. In: Mathematical Interpretation of Formal Systems, pp. 85–97. North-Holland, Amsterdam (1955)

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  3. La structure algébrique des théories mathématiques. In: Collection de Logique Mathématique, Series A, vol. XI. Gauthier-Villars, Paris (1956)

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  4. (with A. Tarski) Cylindrical algebras. Summer Inst. Symb. Log. 3, 332–340 (1957)

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  5. (with A. Tarski) Cylindrical algebras. Proc. Symp. Pure Math., Am. Math. Soc. 2, 83–113 (1961)

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  6. Logical systems containing only a finite number of symbols. Sém. Math. Sup., 21. Univ., Montréal (1967)

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  7. Relativization with respect to formulas and its use in proofs of independence. Compos. Math. 20, 88–106 (1968)

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  8. Extending Boolean operations. Pac. J. Math. 32, 723–752 (1970)

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  9. (with J.D. Monk and A. Tarski) Cylindric Algebras, Part I. North-Holland, Amsterdam (1971)

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  10. Internal semantics and algebraic logic. In: Truth, Syntax, and Modality Studies in Logic and the Foundations of Mathematics, vol. 68 pp. 111–127. North-Holland, Amsterdam (1973)

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  11. (with J.D. Monk) Cylindric algebras and related structures. Proc. Tarski Symp., Proc. Symp. Pure Math., vol. XXV, Univ. Calif, Berkeley, pp. 105–121 (1974)

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  12. (with D. Resek) Relativization of cylindric algebras. Fund. Math. 82, 363–383 (1975)

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  13. Algebraic aspects of logic: past, present, future. Colloq. Internat. de Logique (Clermont-Ferrand 1975), pp. 89–106, Colloq. Internat. CNRS (1977)

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  14. (with J.D. Monk, A. Tarski, H. Andréka, and I. Németi) Cylindric Set Algebras. Lecture Notes in Mathematics, vol. 883. Springer, Berlin (1981)

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  15. Notes for Lectures on the Theory of Cylindric Algebras. Beograd, Kragujevac, Novi Sad (1982)

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  16. (with J.D. Monk and A. Tarski) Cylindric Algebras, Part II. North-Holland, Amsterdam (1985)

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  17. (with J.D. Monk and A. Tarski) Representable cylindric algebras. Ann. Pure Appl. Log. 31, 23–60 (1986)

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Author information

Authors and Affiliations

  1. Mathematics Department, University of Colorado, Boulder, CO, 80309-0395, USA

    J. Donald Monk

Authors
  1. J. Donald Monk
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Correspondence to J. Donald Monk .

Editor information

Editors and Affiliations

  1. Department of Philosophy, Logic and Aesthetics, University of Salamanca, Salamanca, Spain

    MarĂ­a Manzano

  2. Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary

    IldikĂł Sain

  3. Department of Logic and Philosophy of Science, Autonomous University of Madrid, Madrid, Spain

    Enrique Alonso

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Monk, J.D. (2014). Leon Henkin and Cylindric Algebras. In: Manzano, M., Sain, I., Alonso, E. (eds) The Life and Work of Leon Henkin. Studies in Universal Logic. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-09719-0_7

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