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
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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
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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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
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e-ISSN
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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
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