Distributive substructural logics as coalgebraic logics over posets

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F12%3A00199000" target="_blank" >RIV/68407700:21230/12:00199000 - isvavai.cz</a>
Alternative codes found
RIV/67985807:_____/12:00379885
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Distributive substructural logics as coalgebraic logics over posets
Original language description
We show how to understand frame semantics >> of distributive substructural logics coalgebraically, >> thus opening a possibility to study them as coalgebraic >> logics. As an application of this approach we prove >> a general version of Goldblatt-Thomason theorem >> that characterizes definability of classes of frames >> for logics extending the distributive Full Lambek logic, >> as e.g. relevance logics, many-valued logics or >> intuitionistic logic. The paper is rather conceptual >> and does not claimto contain signicant new results. >> We consider a category of frames as posets equipped >> with monotone relations, and show that they can be >> understood as coalgebras for an endofunctor of the >> category of posets. In fact, we adopt a more general>> definition of frames that allows to cover a wider class >> of distributive modal logics
Czech name
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Czech description
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Project
<a href="/en/project/GAP202%2F11%2F1632" target="_blank" >GAP202/11/1632: Algebraic Methods in Proof Theory</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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