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(2014) Synthese 191 (14).
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.
Publication details
DOI: 10.1007/s11229-014-0455-9
Full citation:
Kane, J. , Naumov, P. (2014). The Ryōan-Ji axiom for common knowledge on hypergraphs. Synthese 191 (14), pp. 3407-3426.
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