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title:(Formalized AND Soundness AND and AND Completeness AND of AND Epistemic AND Logic)

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1 Conference paper

Formalized Soundness and Completeness of Epistemic Logic

From, Asta Halkjær; Jensen, Alexander Birch; Villadsen, Jørgen

Proceedings of International Workshop on Logical Aspects in Multi-agent Systems and Strategic Reasoning — 2021

Epistemic logic allows reasoning about the knowledge of agents, and deductive proof systems enable this reasoning with a few axioms and inference rules. We strengthen the logical foundations of such a system by formalizing it in the proof assistant Isabelle/HOL. Our definitions are given

Year: 2021

Language: English

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2 Conference paper · Book chapter

Formalized Soundness and Completeness of Epistemic Logic

We strengthen the foundations of epistemic logic by formalizing the family of normal modal logics in the proof assistant Isabelle/HOL. We define an abstract canonical model and prove a truth lemma for any logic in the family. We then instantiate it with logics based on various epistemic principles

Year: 2021

Language: English

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