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

Nobu-Yuki Suzuki

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

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Some results on the Kripke sheaf semantics for super-intuitionistic predicate logics.Nobu-Yuki Suzuki - 1993 - Studia Logica 52 (1):73 - 94.details Some properties of Kripke-sheaf semantics for super-intuitionistic predicate logics are shown. The concept ofp-morphisms between Kripke sheaves is introduced. It is shown that if there exists ap-morphism from a Kripke sheaf 1 into 2 then the logic characterized by 1 is contained in the logic characterized by 2. Examples of Kripke-sheaf complete and finitely axiomatizable super-intuitionistic (and intermediate) predicate logics each of which is Kripke-frame incomplete are given. A correction to the author's previous paper Kripke bundles for intermediate predicate logics (...) Download Export citation Bookmark 4 citations
(1 other version)Fibred semantics and the weaving of logics part 1: Modal and intuitionistic logics.D. M. Gabbay - 1996 - Journal of Symbolic Logic 61 (4):1057-1120.details This is Part 1 of a paper on fibred semantics and combination of logics. It aims to present a methodology for combining arbitrary logical systems L i , i ∈ I, to form a new system L I . The methodology `fibres' the semantics K i of L i into a semantics for L I , and `weaves' the proof theory (axiomatics) of L i into a proof system of L I . There are various ways of doing this, we (...) Download Export citation Bookmark 17 citations
Incompleteness Results in Kripke Bundle Semantics.Kazuaki Nagaoka & Eiko Isoda - 1997 - Mathematical Logic Quarterly 43 (4):485-498.details Kripke bundle and C-set semantics are known as semantics which generalize standard Kripke semantics. In [4] and in [1, 2] it is shown that Kripke bundle and C-set semantics are stronger than standard Kripke semantics. Also it is true that C-set semantics for superintuitionistic logics is stronger than Kripke bundle semantics . Modal predicate logic Q-S4.1 is not Kripke bundle complete of the present paper). This is shown by using difference of Kripke bundle semantics and C-set semantics. In this paper, (...) Download Export citation Bookmark
A uniform tableau method for intuitionistic modal logics I.Giambattista Amati & Fiora Pirri - 1994 - Studia Logica 53 (1):29 - 60.details Download Export citation Bookmark 8 citations

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