Relevant Reasoning and Implicit Beliefs

0573722 - ÚI 2024 RIV CH eng C - Conference Paper (international conference)
Sedlár, Igor - Vigiani, P.
Relevant Reasoning and Implicit Beliefs.
Logic, Language, Information, and Computation. Cham: Springer, 2023 - (Hansen, H.; Scedrov, A.; de Queiroz, R.), s. 336-350. Lecture Notes in Computer Science, 13923. ISBN 978-3-031-39783-7.
[WoLLIC 2023: Workshop on Logic, Language, Information and Computation /29./. Halifax (CA), 11.07.2023-14.07.2023]
R&D Projects: GA ČR(CZ) GA22-01137S
Institutional support: RVO:67985807
Keywords : Epistemic logic * explicit belief * implicit belief * knowledge representation * modal logic * relevant logic
OECD category: Pure mathematics

Combining relevant and classical modal logic is an approach to overcoming the logical omniscience problem and related issues that goes back at least to Levesque’s well known work in the 1980s. The present authors have recently introduced a variant of Levesque’s framework where explicit beliefs concerning conditional propositions can be formalized. However, our framework did not offer a formalization of implicit belief in addition to explicit belief. In this paper we provide such a formalization. Our main technical result is a modular completeness theorem.
Permanent Link: https://hdl.handle.net/11104/0344103


Research data: Preprint at MathStat.dal.ca