# Symmetries in Modal Logics: A Coinductive Approach

Title | Symmetries in Modal Logics: A Coinductive Approach |

Publication Type | Conference Paper |

Year of Publication | 2012 |

Authors | Areces, C, Hoffmann, G, Orbe, E |

Conference Name | Proceedings of the 7th Workshop on Logical and Semantic Frameworks, with Applications (LSFA 2012) |

Date Published | September |

Conference Location | Rio de Janeiro |

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). |

Work Package:

WP2