About cut elimination for logics of common knowledge

Annals of Pure and Applied Logic 133 (1):73-99 (2005)
A. Tony De Luca
University of Manitoba
The notions of common knowledge or common belief play an important role in several areas of computer science , in philosophy, game theory, artificial intelligence, psychology and many other fields which deal with the interaction within a group of “agents”, agreement or coordinated actions. In the following we will present several deductive systems for common knowledge above epistemic logics –such as K, T, S4 and S5 –with a fixed number of agents. We focus on structural and proof-theoretic properties of these calculi.
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DOI 10.1016/j.apal.2004.10.004
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References found in this work BETA

The Situation in Logic.Jon Barwise - 1989 - Center for the Study of Language and Inf.
Common Knowledge Logic and Game Logic.Mamoru Kaneko - 1999 - Journal of Symbolic Logic 64 (2):685-700.

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Citations of this work BETA

A Logical Framework for Convention.Giacomo Sillari - 2005 - Synthese 147 (2):379-400.
Syntactic Cut-Elimination for Common Knowledge.Kai Brünnler & Thomas Studer - 2009 - Annals of Pure and Applied Logic 160 (1):82-95.
Cut-Free Common Knowledge.Gerhard Jäger, Mathis Kretz & Thomas Studer - 2007 - Journal of Applied Logic 5 (4):681-689.
Justifications for Common Knowledge.Samuel Bucheli, Roman Kuznets & Thomas Studer - 2011 - Journal of Applied Non-Classical Logics 21 (1):35-60.

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