Relevant epistemic logic with public announcements and common knowledge

Autor: Vít PunČochář, Igor Sedlár, Andrew Tedder
Rok vydání: 2023
Předmět:
Zdroj: Journal of Logic and Computation. 33:436-461
ISSN: 1465-363X
0955-792X
DOI: 10.1093/logcom/exac100
Popis: We study a version of public announcement logic with common knowledge based on the relevant logic $\textsf {R}$. 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.
Databáze: OpenAIRE