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Interpolation property and superintuitionistic predicate logics

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References

  1. W. Craig, “Three uses of the Herbrand-Gentzen theorem in relating model theory and proof theory,” J. Symbolic Logic,22, 269–285 (1957).

    Article  MATH  MathSciNet  Google Scholar 

  2. K. Schütte, “Der Interpolationssatz der intuitionistischen Prädikatenlogik,” Math. Ann.,148, 192–200 (1962).

    Article  MATH  MathSciNet  Google Scholar 

  3. D. Gabbay, “Semantic proof of the Craig interpolation theorem for intuitionistic logic and extensions it,” in: Logic Colloquium'69, Amsterdam, 1970, pp. 391–410.

  4. L. L. Maksimova, “Craig's theorem in superintuitionistic logics and amalgamable varieties”, Algebra i Logika,16, No. 6, 643–681 (1977).

    MATH  MathSciNet  Google Scholar 

  5. L. L. Maksimova, “Interpolation in predicate logics with equality,” in: Abstracts: The 10th International Congress of Logic, Methodology and Philosophy of Science, Florence, Italy, 1995, p. 154.

  6. H. Ono, “Some problems in intermediate predicate logics,” Rep. Math. Logic,21, 55–67 (1987).

    MATH  Google Scholar 

  7. A. Church, Introduction to Mathematical Logic. Vol. 1, Princeton Univ. Press, Princeton (New Jersey) (1956).

    Google Scholar 

  8. S. C. Kleene, Introduction to Metamathematics, D. Van Nostrad Company, Inc., New York and Toronto (1952).

    MATH  Google Scholar 

  9. S. C. Kleene, Mathematical Logic, John Wiley & Sons, Inc., New York, London, and Sidney (1967).

    MATH  Google Scholar 

  10. Y. Komori, “Logics without Craig's interpolation property,” Proc. Japan Acad. Ser. A. Math. Sci.,54(A), No. 2, 46–48 (1978).

    Article  MATH  MathSciNet  Google Scholar 

  11. Yu. L. Ershov and E. A. Palyutin, Mathematical Logic [in Russian], Nauka, Moscow (1979).

    MATH  Google Scholar 

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The research was supported by the Russian Foundation for Humanities (Grant 97-03-04089).

Novosibirsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 39, No. 1, pp. 172–180, January–February. 1998.

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Tishkovsky, D.E. Interpolation property and superintuitionistic predicate logics. Sib Math J 39, 151–158 (1998). https://doi.org/10.1007/BF02732369

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