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SYMMETRIES IN MODAL LOGICS

Published online by Cambridge University Press:  15 January 2016

CARLOS ARECES
Affiliation:
CONICET - FAMAF UNIVERSIDAD NACIONAL DE CORDOBA HAYA DE LA TORRE S/N, CÓRDOBA, 5000, ARGENTINA, OFFICE 284E-mail: carlos.areces@gmail.comURL: http://cs.famaf.unc.edu.ar/∼careces
EZEQUIEL ORBE
Affiliation:
CONICET - FAMAF UNIVERSIDAD NACIONAL DE CORDOBA HAYA DE LA TORRE S/N, CÓRDOBA, 5000, ARGENTINA, OFFICE 293E-mail: orbe@famaf.unc.edu.arURL: http://cs.famaf.unc.edu.ar/∼ezequiel

Abstract

In this paper we develop the theoretical foundations to exploit symmetries in modal logics. We generalize the notion of symmetries of propositional formulas in conjunctive normal form to modal formulas using the framework provided by coinductive modal models introduced in [5]. Hence, the results apply to a wide class of modal logics including, for example, hybrid logics. We present two graph constructions that enable the reduction of symmetry detection in modal formulas to the graph automorphism detection problem, and we evaluate the graph constructions on modal benchmarks.

Type
Articles
Copyright
Copyright © The Association for Symbolic Logic 2015 

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