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. © Springer-Verlag Berlin Heidelberg 2013.
CITATION STYLE
Lescanne, P. (2013). Common knowledge logic in a higher order proof assistant. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 7797 LNCS, 271–284. https://doi.org/10.1007/978-3-642-37651-1_11
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