Brünnler, Kai; Goetschi, Remo; Kuznets, Roman (2010). A syntactic realization theorem for justification logics. In: Beklemishev, Lev; Goranko, Valentin; Shehtman, Valentin (eds.) Advances in modal logic, volume 8 (pp. 39-58). College Publications
Full text not available from this repository. (Request a copy)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) |
|---|---|
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, Kuznets, Roman |
Publisher: |
College Publications |
Language: |
English |
Submitter: |
Factscience Import |
Date Deposited: |
04 Oct 2013 14:17 |
Last Modified: |
05 Dec 2022 14:04 |
URI: |
https://boris.unibe.ch/id/eprint/4972 (FactScience: 209635) |
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