Kripke Bundles for Intermediate Predicate Logics and Kripke Frames for Intuitionistic Modal Logics

Studia Logica 49 (3):289-306 (1990)
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Abstract

Shehtman and Skvortsov introduced Kripke bundles as semantics of non-classical first-order predicate logics. We show the structural equivalence between Kripke bundles for intermediate predicate lógics and Kripke-type frames for intuitionistic modal propositional logics. This equivalence enables us to develop the semantical study of relations between intermediate predicate logics and intuitionistic modal propositional logics. New examples of modal counterparts of intermediate predicate logics are given.

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