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)
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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.

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References found in this work

Modal Logic.Yde Venema, Alexander Chagrov & Michael Zakharyaschev - 2000 - Philosophical Review 109 (2):286.
A New Introduction to Modal Logic.G. E. Hughes & M. J. Cresswell - 1996 - Studia Logica 62 (3):439-441.
An ascending chain of S4 logics.Kit Fine - 1974 - Theoria 40 (2):110-116.
Logics containing k4. part II.Kit Fine - 1985 - Journal of Symbolic Logic 50 (3):619-651.
Canonical formulas for k4. part I: Basic results.Michael Zakharyaschev - 1992 - Journal of Symbolic Logic 57 (4):1377-1402.

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