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THE LOGIC OF SEQUENCE FRAMES

Part of: General logic

Published online by Cambridge University Press:  21 July 2020

FABIO LAMPERT
FABIO LAMPERT*
Affiliation:
DEPARTMENT OF LOGIC AND PHILOSOPHY OF SCIENCE UNIVERSITY OF CALIFORNIAIRVINE, CA, USAE-mail: fdalcont@uci.edu
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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 logicmultidimensional modal logicepistemic logica prioriactualitynecessitycompletenessdecidability

MSC classification

Primary: 03B45: Modal logic (including the logic of norms)
Type
Research Article
Information
The Review of Symbolic Logic , Volume 15 , Issue 1 , March 2022 , pp. 101 - 132
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Copyright
© Association for Symbolic Logic, 2020

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