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Presheaf semantics and independence results for some non-classical first-order logics
Archive for Mathematical Logic 29 (2):125-136 (1989)
Abstract
The logicD-J of the weak exluded middle with constant domains is proved to be incomplete with respect to Kripke semantics, by introducing models in presheaves on an arbitrary category. Additional incompleteness results are obtained for the modal systems with nested domains extendingQ-S4.1My notes
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Citations of this work
Incompleteness results in Kripke semantics.Silvio Ghilardi - 1991 - Journal of Symbolic Logic 56 (2):517-538.
Maximal Kripke-type semantics for modal and superintuitionistic predicate logics.D. P. Skvortsov & V. B. Shehtman - 1993 - Annals of Pure and Applied Logic 63 (1):69-101.
Topology and modality: The topological interpretation of first-order modal logic: Topology and modality.Steve Awodey - 2008 - Review of Symbolic Logic 1 (2):146-166.
References found in this work
An introduction to modal logic: the Lemmon notes.E. J. Lemmon - 1977 - Oxford: Blackwell. Edited by Dana S. Scott.
Directed frames.Giovanna Corsi & Silvio Ghilardi - 1989 - Archive for Mathematical Logic 29 (1):53-67.
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