On transitive modal many-valued logics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F21%3A00522276" target="_blank" >RIV/67985807:_____/21:00522276 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.fss.2020.01.011" target="_blank" >http://dx.doi.org/10.1016/j.fss.2020.01.011</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2020.01.011" target="_blank" >10.1016/j.fss.2020.01.011</a>

Result language
angličtina
Original language name
On transitive modal many-valued logics
Original language description
This paper is focused on the study of modal logics defined from valued Kripke frames, and particularly, on computability and expressivity questions of modal logics of transitive Kripke frames evaluated over certain residuated lattices. It is shown that a large family of those logics -including the ones arising from the standard MV and Product algebras- yields an undecidable consequence relation. Later on, the behavior of transitive modal Łukasiewicz logic is compared with that of its non-transitive counterpart, exhibiting some particulars concerning computability and equivalence with other logics. We conclude the article by showing the undecidability of the validity and the local SAT questions over transitive models when the Delta operation is added to the 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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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