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Relevant Reasoners in a Classical World

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F22%3A00566801" target="_blank" >RIV/67985807:_____/22:00566801 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.collegepublications.co.uk/aiml/?00011" target="_blank" >https://www.collegepublications.co.uk/aiml/?00011</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Relevant Reasoners in a Classical World

  • Original language description

    We develop a framework for epistemic logic that combines relevant modal logic with classical propositional logic. In our framework the agent is modeled as reasoning in accordance with a relevant modal logic while the propositional fragment of our logics is classical. In order to achieve this feature, we modify the relational semantics for relevant modal logics so that validity in a model is defined as satisfaction throughout a set of designated states that, as far as propositional connectives are concerned, behave like classical possible worlds. The main technical result of the paper is a modular completeness theorem parametrized by the relevant modal logic formalizing the agent's reasoning.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA22-01137S" target="_blank" >GA22-01137S: Metamathematics of substructural modal logics</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2022

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Advances in Modal Logic. Volume 14

  • ISBN

    978-1-84890-413-2

  • ISSN

  • e-ISSN

  • Number of pages

    22

  • Pages from-to

    697-717

  • Publisher name

    College Publications

  • Place of publication

    London

  • Event location

    Rennes

  • Event date

    Aug 22, 2022

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article