Expressivity of Many-Valued Modal Logics, Coalgebraically

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F16%3A00461966" target="_blank" >RIV/67985807:_____/16:00461966 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-662-52921-8_8" target="_blank" >http://dx.doi.org/10.1007/978-3-662-52921-8_8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-662-52921-8_8" target="_blank" >10.1007/978-3-662-52921-8_8</a>

Result language
angličtina
Original language name
Expressivity of Many-Valued Modal Logics, Coalgebraically
Original language description
We apply methods developed to study coalgebraic logic to investigate expressivity of many-valued modal logics which we consider as coalgebraic languages interpreted over set-coalgebras with many-valued valuations. The languages are based on many-valued predicate liftings. We provide a characterization theorem for a language generated by a set of such modalities to be expressive for bisimilarity: in addition to the usual condition on the set of predicate liftings being separating, we indicate a sufficient and sometimes also necessary condition on the algebra of truth values which guarantees expressivity. Thus, adapting results of Schroder concerning expressivity of boolean coalgebraic logics to many-valued setting, we generalize results of Metcalfe and Marti, concerning Hennessy-Milner property for many-valued modal logics based on box and diamond.
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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