Hyperintensional models for non-congruential modal logics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F25%3A00604127" target="_blank" >RIV/67985807:_____/25:00604127 - isvavai.cz</a>
Result on the web
<a href="https://dx.doi.org/10.1093/jigpal/jzad018" target="_blank" >https://dx.doi.org/10.1093/jigpal/jzad018</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/jigpal/jzad018" target="_blank" >10.1093/jigpal/jzad018</a>

Result language
angličtina
Original language name
Hyperintensional models for non-congruential modal logics
Original language description
In this work, we illustrate applications of a semantic framework for non-congruential modal logic based on hyperintensional models. We start by discussing some philosophical ideas behind the approach, in particular, the difference between the set of possible worlds in which a formula is true (its intension) and the semantic content of a formula (its hyperintension), which is captured in a rigorous way in hyperintensional models. Next, we rigorously specify the approach and provide a fundamental completeness theorem. Moreover, we analyse examples of non-congruential systems that can be semantically characterized within this framework in an elegant and modular way. Finally, we compare the proposed framework with some alternatives available in the literature. In the light of the results obtained, we argue that hyperintensional models constitute a basic, general and unifying semantic framework for (non-congruential) 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
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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