Relevant Reasoning and Implicit Beliefs

Autoři: Mgr. Igor Sedlár, Ph.D.
Rok vydání: 2023
Typ publikace: Konferenční příspěvek (mezinárodní konf.)
Periodikum: Logic, Language, Information, and Computation
Projekty: Metamatematika substrukturálních modálních logik
Bibliografická citace: SEDLÁR, Igor, VIGIANI, P. Relevant Reasoning and Implicit Beliefs. In: HANSEN, H.H., SCEDROV, A., DE QUEIROZ, R.J.G.B., eds. Logic, Language, Information, and Computation. Cham: Springer, 2023, S. 336-350. Lecture Notes in Computer Science, 13923. ISBN 978-3-031-39783-7
Dostupné z: doi:10.1007/978-3-031-39784-4_21
DOI: 10.1007/978-3-031-39784-4_21
ID: 573722

Abstrakt

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.