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THE LOGIC OF SEQUENCE FRAMES

Published online by Cambridge University Press:  21 July 2020

FABIO LAMPERT*
Affiliation:
DEPARTMENT OF LOGIC AND PHILOSOPHY OF SCIENCE UNIVERSITY OF CALIFORNIAIRVINE, CA, USAE-mail: [email protected]

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.

Type
Research Article
Copyright
© Association for Symbolic Logic, 2020

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