A new semantics for intuitionistic predicate logic

Studia Logica 45 (1):9 - 17 (1986)
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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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Citations of this work

Supervenience, Dependence, Disjunction.Lloyd Humberstone - forthcoming - Logic and Logical Philosophy:1.
Predicate logics without the structure rules.Yuichi Komori - 1986 - Studia Logica 45 (4):393 - 404.

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References found in this work

Intuitionistic logic, model theory and forcing.Melvin Fitting - 1969 - Amsterdam,: North-Holland Pub. Co..
Logics without the contraction rule.Hiroakira Ono & Yuichi Komori - 1985 - Journal of Symbolic Logic 50 (1):169-201.
Intuitionistic Logic Model Theory and Forcing.F. R. Drake - 1971 - Journal of Symbolic Logic 36 (1):166-167.

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