Cut-free common knowledge |
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| Authors: | Gerhard Jger Mathis Kretz Thomas Studer |
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| Institution: | aInstitut für Informatik und angewandte Mathematik, Universität Bern, Neubrückstrasse 10, CH-3012 Bern, Switzerland |
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| Abstract: | Starting off from the infinitary system for common knowledge over multi-modal epistemic logic presented in L. Alberucci, G. Jäger, About cut elimination for logics of common knowledge, Annals of Pure and Applied Logic 133 (2005) 73–99], we apply the finite model property to “finitize” this deductive system. The result is a cut-free, sound and complete sequent calculus for common knowledge. |
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| Keywords: | Common knowledge Epistemic logics Cut-free deductive systems Proof theory |
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