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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. This is a preview of subscription content, log in via an institution to check access.

Institutional subscriptions. Unable to display preview. Download preview PDF. Aumann, R. Games and Economic Behavior 8, 6—19 Baltag, A. In: van der Hoek, W. Utrecht University Google Scholar. In: Proc. Morgan Kaufmann Publishers Bertot, Y. Springer Fagin, R.

The MIT Press Gamow, G. In: Puzzle Math. The Viking Press, New York Gardner, M. Vintage Geanakoplos, J. In: Aumann, R. Handbook of Game Theory, vol. Elsevier, Amsterdam Gentzen, G. Mathematische Zeitschrift , — Girard, J. Theoretical Computer Science 50, 1— Harel, D.