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The RyĆan-ji axiom for common knowledge on hypergraphs
The article studies common knowledge in communication networks with a fixed topological structure. It introduces a non-trivial principle, called the RyĆan-ji axiom, which captures logical properties of common knowledge of all protocols with a given network topology. A logical system, consisting of the RyĆan-ji axiom and two additional axioms, is proven to be sound and complete