Awareness, belief, and communication reaching consensus.

Fukuda, Emiko; Matsuhisa, Takashi; Sasanuma, Hisato

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Construction of Very Hard Functions for Multiparty Communication Complexity

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We consider the multiparty communication model defined in [4] using the formalism from [8]. First, we correct an inaccuracy in the proof of the fundamental result of [6] providing a lower bound on the nondeterministic communication complexity of a function. Then we construct several very hard functions, , functions such that those as well as their complements have the worst possible nondeterministic communication complexity. The problem to find a particular very hard function...