Relevant Reasoners in a Classical World

0566801 - ÚI 2024 RIV GB eng C - Conference Paper (international conference)
Sedlár, Igor - Vigiani, P.
Relevant Reasoners in a Classical World.
Advances in Modal Logic. Volume 14. London: College Publications, 2022 - (Fernández-Duque, D.; Palmigiano, A.; Pinchinat, S.), s. 697-717, č. článku 196432. ISBN 978-1-84890-413-2.
[AIML 2022: Advances in Modal Logic. Rennes (FR), 22.08.2022-25.08.2022]
R&D Projects: GA ČR(CZ) GA22-01137S
Institutional support: RVO:67985807
Keywords : epistemic logic * logical omniscience * non-normal worlds * relevant logic
OECD category: Pure mathematics
https://www.collegepublications.co.uk/aiml/?00011

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.
Permanent Link: https://hdl.handle.net/11104/0338087