Relevant epistemic logic with public announcements and common knowledge
Autor: | Vít PunČochář, Igor Sedlár, Andrew Tedder |
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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 |
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