Synthese 191 (14):3407-3426 (2014)

Abstract
The article studies common knowledge in communication networks with a fixed topological structure. It introduces a non-trivial principle, called the Ryōan-ji axiom, which captures logical properties of common knowledge of all protocols with a given network topology. A logical system, consisting of the Ryōan-ji axiom and two additional axioms, is proven to be sound and complete
Keywords Common knowledge  Hypergraph  Axiomatization  Completeness
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DOI 10.1007/s11229-014-0455-9
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References found in this work BETA

Logic of Secrets in Collaboration Networks.Sara More & Pavel Naumov - 2011 - Annals of Pure and Applied Logic 162 (12):959-969.
Logic of Secrets in Collaboration Networks.Sara Miner More & Pavel Naumov - 2011 - Annals of Pure and Applied Logic 162 (12):959-969.
Fault Tolerance in Belief Formation Networks.Sarah Holbrook & Pavel Naumov - 2012 - In Luis Farinas del Cerro, Andreas Herzig & Jerome Mengin (eds.), Logics in Artificial Intelligence. Springer. pp. 267--280.

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