## Symmetries in Modal Logics: A Coinductive Approach

Areces, C., Hoffmann, G., and Orbe, E.. Symmetries in Modal Logics: A Coinductive Approach. In Proceedings of the 7th Workshop on Logical and Semantic Frameworks, with Applications (LSFA 2012), Rio de Janeiro, September 2012.

#### Abstract:

We generalize the notion of symmetries of propositional formulas in conjunctive normal form to modal formulas. Our framework uses the coinductive models introduced in [4] and, hence, the results apply to a wide class of modal logics including, for example, hybrid logics. Our main result shows that the symmetries of a modal formula preserve entailment: if \sigma is a symmetry of \phi then \phi |= \psi if and only if \phi |= \sigma(\psi).

@INPROCEEDINGS{arec:symm12,
author = {Areces, C. and Hoffmann, G. and Orbe, E.},
title = {Symmetries in Modal Logics: A Coinductive Approach},
booktitle = {Proceedings of the 7th Workshop on Logical and Semantic Frameworks,
with Applications (LSFA 2012)},
year = {2012},
month = {September},
abstract = {We generalize the notion of symmetries of propositional formulas in
conjunctive normal form to modal formulas. Our framework uses the
coinductive models introduced in [4] and, hence, the results apply
to a wide class of modal logics including, for example, hybrid logics.
Our main result shows that the symmetries of a modal formula preserve
entailment: if \sigma is a symmetry of \phi then \phi |= \psi if
and only if \phi |= \sigma(\psi).},
owner = {areces},
timestamp = {2012.08.04}
}


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