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On finite linear intermediate predicate logics
Studia Logica 47 (4):391 - 399 (1988)
Abstract
An intermediate predicate logicS + n (n>0) is introduced and investigated. First, a sequent calculusGS n is introduced, which is shown to be equivalent toS + n and for which the cut elimination theorem holds. In § 2, it will be shown thatS + n is characterized by the class of all linear Kripke frames of the heightn.Author's Profile
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Citations of this work
Completeness theorem for Dummett's LC quantified and some of its extensions.Giovanna Corsi - 1992 - Studia Logica 51 (2):317 - 335.
Linear Kripke Frames and Gödel Logics.Arnold Beckmann & Norbert Preining - 2007 - Journal of Symbolic Logic 72 (1):26 - 44.
Kripke Bundles for Intermediate Predicate Logics and Kripke Frames for Intuitionistic Modal Logics.Nobu-Yuki Suzuki - 1990 - Studia Logica 49 (3):289-306.
On the Predicate Logic of Linear Kripke Frames and some of its Extensions.Dmitrij Skvortsov - 2005 - Studia Logica 81 (2):261-282.
References found in this work
Intuitionistic logic, model theory and forcing.Melvin Fitting - 1969 - Amsterdam,: North-Holland Pub. Co..
Axiomatization of the First‐Order Intermediate Logics of Bounded Kripkean Heights I.Shin'ichi Yokota - 1989 - Mathematical Logic Quarterly 35 (5):415-421.
Axiomatization of the First-Order Intermediate Logics of Bounded Kripkean Heights II.Shin'ichi Yokota - 1991 - Mathematical Logic Quarterly 37 (2-4):17-26.
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