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Kripke incompleteness of predicate extensions of the modal logics axiomatized by a canonical formula for a frame with a nontrivial cluster
Studia Logica 65 (2):237-247 (2000)
Abstract
We generalize the incompleteness proof of the modal predicate logic Q-S4+ p p + BF described in Hughes-Cresswell [6]. As a corollary, we show that, for every subframe logic Lcontaining S4, Kripke completeness of Q-L+ BF implies the finite embedding property of L.Other Versions
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Citations of this work
Kripke completeness of predicate extensions of cofinal subframe logics.Tatsuya Shimura - 2001 - Bulletin of the Section of Logic 30 (2):107-114.
Kripke incompleteness of predicate extentions of Gabbay-de jongh's logic of the finite binary trees.Tatsuya Shimura - 2002 - Bulletin of the Section of Logic 31 (2):111-118.
References found in this work
A New Introduction to Modal Logic.G. E. Hughes & M. J. Cresswell - 1996 - Studia Logica 62 (3):439-441.
Canonical formulas for k4. part I: Basic results.Michael Zakharyaschev - 1992 - Journal of Symbolic Logic 57 (4):1377-1402.
The predicate modal logic of provability.Franco Montagna - 1984 - Notre Dame Journal of Formal Logic 25 (2):179-189.
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