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Abstract: We prove that NP differs from coNP and coNP is not a subset of MA in thenumber-on-forehead model of multiparty communication complexity for up to k =1-\epsilonlogn players, where \epsilon>0 is any constant. Specifically, weconstruct a function F with co-nondeterministic complexity Ologn andMerlin-Arthur complexity n^{\Omega1}. The problem was open for k > 2.



Author: Dmitry Gavinsky, Alexander A. Sherstov

Source: https://arxiv.org/



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