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In this paper it is shown that no public announcement scheme that can bemodeled in Dynamic Epistemic Logic (DEL) can solve the Russian Cards Problem(RCP) in one announcement. Since DEL is a general model for any publicannouncement scheme we conclude that there exist no single announcementsolution to the RCP. The proof demonstrates the utility of DEL in proving lowerbounds for communication protocols. It is also shown that a general version ofRCP has no two announcement solution when the adversary has sufficiently largenumber of cards.

Lower Bound for the Communication Complexity of the Russian Cards Problem