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SYMMETRIES IN MODAL LOGICS

Published online by Cambridge University Press:  15 January 2016

CARLOS ARECES  and
EZEQUIEL ORBE
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
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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.

Keywords

03B4568T1568T20automated reasoningmodal logicssymmetries
Type
Articles
Information
Bulletin of Symbolic Logic , Volume 21 , Issue 4 , December 2015 , pp. 373 - 401
Copyright
Copyright © The Association for Symbolic Logic 2015 

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