La connaissance commune en logique modale

Mathematical Logic Quarterly 39 (1):115-130 (1993)
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Abstract

The problem of Common Knowledge will be considered in two classes of models: a class K.* of Kripke models and a class S of Scott models. Two modal logic systems will be defined. Those systems, KC and MC, include an axiomatisation of Common Knowledge. We prove determination of each system by the corresponding class of models. MSC: 03B45, 68T25

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Citations of this work

Iterative and fixed point common belief.Aviad Heifetz - 1999 - Journal of Philosophical Logic 28 (1):61-79.
A syntactic approach to rationality in games with ordinal payoffs.Giacomo Bonanno - 2008 - In Giacomo Bonanno, Wiebe van der Hoek & Michael Wooldridge (eds.), Logic and the Foundations of Game and Decision Theory. Amsterdam University Press.
A Computational Learning Semantics for Inductive Empirical Knowledge.Kevin T. Kelly - 2014 - In Alexandru Baltag & Sonja Smets (eds.), Johan van Benthem on Logic and Information Dynamics. Springer International Publishing. pp. 289-337.

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References found in this work

Modal Logic: An Introduction.Brian F. Chellas - 1980 - New York: Cambridge University Press.
An essay in classical modal logic.Krister Segerberg - 1971 - Uppsala,: Filosofiska föreningen och Filosofiska institutionen vid Uppsala universitet.
The Unprovability of Consistency. An Essay in Modal Logic.C. Smoryński - 1979 - Journal of Symbolic Logic 46 (4):871-873.
Modal Logic. An Introduction.Zia Movahed - 2002 - Tehran: Hermes Publishers.

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