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A new semantics for intuitionistic predicate logic

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Abstract

The main part of the proof of Kripke's completeness theorem for intuitionistic logic is Henkin's construction. We introduce a new Kripke-type semantics with semilattice structures for intuitionistic logic. The completeness theorem for this semantics can he proved without Henkin's construction.

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References

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Authors and Affiliations

  1. Department of Mathematics Faculty of Science, Shizuoka University, Shizuoka, Japan

    Yuichi Komori

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  1. Yuichi Komori
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Komori, Y. A new semantics for intuitionistic predicate logic. Stud Logica 45, 9–17 (1986). https://doi.org/10.1007/BF01881545

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  • DOI: https://doi.org/10.1007/BF01881545

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