Incompleteness results in Kripke semantics

Journal of Symbolic Logic 56 (2):517-538 (1991)
Abstract
By means of models in toposes of C-sets (where C is a small category), necessary conditions are found for the minimum quantified extension of a propositional (intermediate, modal) logic to be complete with respect to Kripke semantics; in particular, many well-known systems turn out to be incomplete
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DOI 10.2307/2274697
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References found in this work BETA
Directed Frames.Giovanna Corsi & Silvio Ghilardi - 1989 - Archive for Mathematical Logic 29 (1):53-67.

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First-Order Intensional Logic.Melvin Fitting - 2004 - Annals of Pure and Applied Logic 127 (1-3):171-193.
Incompleteness and the Barcan Formula.M. J. Cresswell - 1995 - Journal of Philosophical Logic 24 (4):379 - 403.
First-Order Classical Modal Logic.Horacio Arló-Costa & Eric Pacuit - 2006 - Studia Logica 84 (2):171 - 210.

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