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Common Knowledge Logic in a Higher Order Proof Assistant

Pierre Lescanne 1
1 LIP - Laboratoire de l'Informatique du Parallélisme
Abstract : This paper presents experiments on common knowledge logic, conducted with the help of the proof assistant Coq. The main feature of common knowledge logic is the eponymous modality that says that a group of agents shares a knowledge about a certain proposition in a inductive way. This modality is specified by using a fixpoint approach. Furthermore, from these experiments, we discuss and compare the structure of theorems that can be proved in specific theories that use common knowledge logic. Those structures manifest the interplay between the theory (as implemented in the proof assistant Coq) and the metatheory.
Keywords : common knowledge logic higher order proof assistant COQ epistemic logic
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00869081
Contributor : Pierre Lescanne Connect in order to contact the contributor
Submitted on : Wednesday, October 2, 2013 - 2:28:11 PM
Last modification on : Saturday, September 11, 2021 - 3:18:16 AM

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  • HAL Id : ensl-00869081, version 1

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ENS-LYON | CNRS | INRIA | UNIV-LYON1 | UDL

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Pierre Lescanne. Common Knowledge Logic in a Higher Order Proof Assistant. Andrei Voronkov, Christoph Weidenbach. Programming Logics - Essays in Memory of Harald Ganzinger., Springer, pp.271-284, 2013, Lecture Notes in Computer Science. ⟨ensl-00869081⟩

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