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On Many-Valued Modal Probabilistic Logics

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F25%3A00637408" target="_blank" >RIV/67985807:_____/25:00637408 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1109/ISMVL64713.2025.00014" target="_blank" >https://doi.org/10.1109/ISMVL64713.2025.00014</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1109/ISMVL64713.2025.00014" target="_blank" >10.1109/ISMVL64713.2025.00014</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On Many-Valued Modal Probabilistic Logics

  • Original language description

    Extending Hájek’s work on propositional probabilistic logic, we introduce a semantic framework for modal probabilistic logics based on modal Łukasiewicz logic. We demonstrate the expressiveness of the framework with a number of examples. As our main technical result, we prove that, in a significant range of cases, local consequence over probabilistic models based on a class of Kripke frames reduces to parameterised local consequence over Kripke models based on that class of frames. Decidability of a number of modal probabilistic logics follows from this result.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/GA22-16111S" target="_blank" >GA22-16111S: GRADLACT: Graded Logics of Action</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2025

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    2025 IEEE 55th International Symposium on Multiple-Valued Logic (ISMVL). Proceedings

  • ISBN

    979-8-3315-0744-2

  • ISSN

  • e-ISSN

  • Number of pages

    7

  • Pages from-to

    26-31

  • Publisher name

    IEEE

  • Place of publication

    Piscataway

  • Event location

    Montreal

  • Event date

    Jun 5, 2025

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    001540510800006