Review of Symbolic Logic 15 (1):101-132 (2022)

Authors
Fabio Lampert
University of Greifswald
Abstract
This paper investigates and develops generalizations of two-dimensional modal logics to any finite dimension. These logics are natural extensions of multidimensional systems known from the literature on logics for a priori knowledge. We prove a completeness theorem for propositional n-dimensional modal logics and show them to be decidable by means of a systematic tableau construction.
Keywords Modal Logic  Multidimensional Modal Logic  Epistemic Logic  A priori  Actuality  Necessity  Completeness  Decidability
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Reprint years 2022
DOI 10.1017/s1755020320000325
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References found in this work BETA

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First-Order Logic.Raymond Merrill Smullyan - 1968 - Berlin, Germany: New York [Etc.]Springer-Verlag.
Two Notions of Necessity.Martin Davies & Lloyd Humberstone - 1980 - Philosophical Studies 38 (1):1-31.
Epistemic Two Dimensional Semantics.David J. Chalmers - 2004 - Philosophical Studies 118 (1-2):153-226.

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