Relevant Agents

0348911 - ÚI 2011 RIV GB eng C - Conference Paper (international conference)
Bílková, Marta - Majer, Ondrej - Peliš, Michal - Restall, G.
Relevant Agents.
Advances in Modal Logic. London: College Publications, 2010 - (Beklemishev, L.; Goranko, V.; Shehtman, V.), s. 22-38. 8. ISBN 978-1-84890-013-4.
[Advances in Modal Logic. Moscow (RU), 24.08.2010-27.08.2010]
R&D Projects: GA ČR GEICC/08/E018; GA AV ČR IAA900090703
Institutional research plan: CEZ:AV0Z10300504; CEZ:AV0Z90090514
Keywords : modal logic * epistemic logic * relevant logic * substructural logic * frame semantics
Subject RIV: BA - General Mathematics

We study a relevant logic for epistemic agents proposed by Majer and Pelis, providing a novel extension of the relevant logic R with a distinctive epistemic modality K, which is at the one and the same time factive (KA implies A) and an existential normal modal operator. The intended interpretation is that KA holds (relative to a situation s) if there is a resource available at s, confirming A. In this article we expand the class of models to the broader class of 'general epistemic frames'. With this generalisation we provide a sound and complete axiomatisation for the logic of general relevant epistemic frames. We also show, that each of the modal axioms characterises some natural subclasses of general frames.
Permanent Link: http://hdl.handle.net/11104/0006064