An institutional approach to positive coalgebraic logic

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F17%3A00313693" target="_blank" >RIV/68407700:21230/17:00313693 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1093/logcom/exv074" target="_blank" >http://dx.doi.org/10.1093/logcom/exv074</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/logcom/exv074" target="_blank" >10.1093/logcom/exv074</a>

Result language
angličtina
Original language name
An institutional approach to positive coalgebraic logic
Original language description
Positive modal logic, as introduced by Dunn in 1995, is the negation-free fragment of the standard modal logic of all Kripke frames. Positive coalgebraic logic, introduced by the authors in a previous work, expands the above result from Kripke frames to more general transition systems, namely to coalgebras of weak-pullback preserving functors. We show that this construction is both modular and uniform in the functor giving the type of coalgebra. More precisely, we formalize both Set and Pos-based coalgebraic modal logic as institutions, and we exhibit a morphism of institutions between them giving the positive fragment of coalgebraic modal logic.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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