Canonicity for intensional logics without iterative axioms

Journal of Philosophical Logic 26 (4):391-409 (1997)
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Abstract

David Lewis proved in 1974 that all logics without iterative axioms are weakly complete. In this paper we extend Lewis's ideas and provide a proof that such logics are canonical and so strongly complete. This paper also discusses the differences between relational and neighborhood frame semantics and poses a number of open questions about the latter

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2004

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10.1023/a:1004201429142

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Citations of this work

Modal Logics in the Vicinity of S.Brian F. Chellas & Krister Segerberg - 1996 - Notre Dame Journal of Formal Logic 37 (1):1-24.
Canonicity for intensional logics with even axioms.Timothy J. Surendonk - 2001 - Journal of Symbolic Logic 66 (3):1141-1156.
Modal Logics That Need Very Large Frames.Marcus Kracht - 1999 - Notre Dame Journal of Formal Logic 40 (2):141-173.

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References found in this work

Modal Logic: An Introduction.Brian F. Chellas - 1980 - New York: Cambridge University Press.
An essay in classical modal logic.Krister Segerberg - 1971 - Uppsala,: Filosofiska föreningen och Filosofiska institutionen vid Uppsala universitet.
Modal logic and classical logic.Johan van Benthem - 1983 - Atlantic Highlands, N.J.: Distributed in the U.S.A. by Humanities Press.
[Omnibus Review].Robert Goldblatt - 1986 - Journal of Symbolic Logic 51 (1):225-227.
Mathematics of Modality.Robert Goldblatt - 1993 - Center for the Study of Language and Information Publications.

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