@inproceedings{2fe3d7c6240645b2b4a68d244e0d5681,
title = "Relevant Reasoners in a Classical World",
abstract = "We develop a framework for epistemic logic that combines relevant modal logic with classical propositional logic. In our framework the agent is modelled as reasoning in accordance with a relevant modal logic while the propositional fragment of our logics is classical. In order to achieve this feature, we modify the relational semantics for relevant modal logics so that validity in a model is defined as satisfaction throughout a set of designated states that, as far as propositional connectives are concerned, behave like classical possible worlds. The main technical result of the paper is a modular completeness theorem parametrized by the relevant modal logic formalizing the agent{\textquoteright}s reasoning.",
keywords = "Epistemic logic, logical omniscience, non-normal worlds, relevant logic",
author = "Igor Sedl{\'a}r and Pietro Vigiani",
note = "Publisher Copyright: {\textcopyright} 2022 College Publications. All rights reserved.; 14th Conference on Advances in Modal Logic, AiML 2022 ; Conference date: 22-08-2022 Through 25-08-2022",
year = "2022",
language = "English",
series = "Advances in Modal Logic",
publisher = "College Publications",
pages = "697--717",
editor = "David Fernandez-Duque and Alessandra Palmigiano and Sophie Pinchinat",
booktitle = "Advances in Modal Logic, AiML 2022",
}