Relevant epistemic logic with public announcements and common knowledge

0572522 - FLÚ 2024 RIV GB eng J - Článek v odborném periodiku
Punčochář, Vít - Sedlár, Igor - Tedder, A.
Relevant epistemic logic with public announcements and common knowledge.
Journal of Logic and Computation. Roč. 33, č. 2 (2023), s. 436-461. ISSN 0955-792X. E-ISSN 1465-363X
Grant CEP: GA ČR(CZ) GM21-23610M
Institucionální podpora: RVO:67985955 ; RVO:67985807
Klíčová slova: relevant logic * epistemic logic * public announcement * common knowledge * inquisitive logic
Obor OECD: Philosophy, History and Philosophy of science and technology; Pure mathematics (UIVT-O)
Impakt faktor: 0.7, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1093/logcom/exac100

We study a version of public announcement logic with common knowledge based on the relevant logic R. Public announcements, as represented in our framework, are not necessarily truthful and accepted by all agents, nor is it assumed that beliefs are preserved under announcements. We establish a completeness result with respect to a relational semantics, and we show that an alternative semantics based on information states is dual to the relational one. We add a question-forming inquisitive disjunction operator to the language and prove a completeness result with respect to the information semantics.
Trvalý link: https://hdl.handle.net/11104/0343465