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Semantical analysis of predicate logics without the contraction rule

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Abstract

In this paper, a semantics for predicate logics without the contraction rule will be investigated and the completeness theorem will be proved. Moreover, it will be found out that our semantics has a close connection with Beth-type semantics.

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References

  1. D. van Dalen, Intuitionistic logic, (to appear in Handbook of Philosophical Logic vol. 3, eds. D. M. Gabbay and F. Guenthner, Synthese Library 166, D. Reidel Publ. Co.).

  2. H. Ono and Y. Komori, Logics without the contraction rule, Journal of Symbolic Logic, vol. 50 (1985), pp. 169–201.

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Authors and Affiliations

  1. Faculty of Integrated Arts and Sciences, Hiroshima University, Hiroshima, Japan

    Hiroakira Ono

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  1. Hiroakira Ono
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Ono, H. Semantical analysis of predicate logics without the contraction rule. Stud Logica 44, 187–196 (1985). https://doi.org/10.1007/BF00379766

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  • DOI: https://doi.org/10.1007/BF00379766

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