Completeness results for some two-dimensional logics of actuality

Review of Symbolic Logic 5 (2):239-258 (2012)
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Abstract

We provide a Hilbert-style axiomatization of the logic of , as well as a two-dimensional semantics with respect to which our logics are sound and complete. Our completeness results are quite general, pertaining to all such actuality logics that extend a normal and canonical modal basis. We also show that our logics have the strong finite model property and permit straightforward first-order extensions

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Author Profiles

David R. Gilbert
University of Groningen
Edwin Mares
Victoria University of Wellington

Citations of this work

Actual Issues for Relevant Logics.Shawn Standefer - 2020 - Ergo: An Open Access Journal of Philosophy 7.
Actualism, Serious Actualism, and Quantified Modal Logic.William H. Hanson - 2018 - Notre Dame Journal of Formal Logic 59 (2):233-284.

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References found in this work

Modal Logic: Graph. Darst.Patrick Blackburn, Maarten de Rijke & Yde Venema - 2001 - New York: Cambridge University Press. Edited by Maarten de Rijke & Yde Venema.
On the Plurality of Worlds.Allen Stairs - 1988 - Philosophy and Phenomenological Research 49 (2):333-352.
Modal Logic.Patrick Blackburn, Maarten de Rijke & Yde Venema - 2001 - Studia Logica 76 (1):142-148.

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