Brünnler, Kai; Goetschi, Remo; Kuznets, Roman
(2010).
*
A syntactic realization theorem for justification logics.
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In:
Beklemishev, Lev; Goranko, Valentin; Shehtman, Valentin
(eds.)
Advances in modal logic, volume 8 (pp. 39-58).
College Publications

Justification logics are refinements of modal logics where modalities are replaced by justification terms. They are connected to modal logics via so-called realization theorems. We present a syntactic proof of a single realization theorem that uniformly connects all the normal modal logics formed from the axioms \$mathsfd\$, \$mathsft\$, \$mathsfb\$, \$mathsf4\$, and \$mathsf5\$ with their justification counterparts. The proof employs cut-free nested sequent systems together with Fitting's realization merging technique. We further strengthen the realization theorem for \$mathsfKB5\$ and \$mathsfS5\$ by showing that the positive introspection operator is superfluous.

Item Type: | Conference or Workshop Item (Paper) |
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Division/Institute: | 08 Faculty of Science > Institute of Computer Science (INF) > Logic and Theory Group (LTG) 08 Faculty of Science > Institute of Computer Science (INF) |

UniBE Contributor: | Brünnler, Kai; Goetschi, Remo and Kuznets, Roman |

Publisher: | College Publications |

Language: | English |

Submitter: | Factscience Import |

Date Deposited: | 04 Oct 2013 14:17 |

Last Modified: | 08 Sep 2015 16:30 |

URI: | http://boris.unibe.ch/id/eprint/4972 (FactScience: 209635) |