Randomized versus nondeterministic communication complexity

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Abstract

Our main result is the demonstration of a Boolean function f with nondeterministic and co-nondeterministic complexities O (log ra) and e-error randomized complexity Ω(log2n), for 0 ≤ ∈ < 1/2. This is the first separation of this kind for a decision problem.

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Bearne, P., & Lawry, J. (1992). Randomized versus nondeterministic communication complexity. In Proceedings of the Annual ACM Symposium on Theory of Computing (Vol. Part F129722, pp. 188–199). Association for Computing Machinery. https://doi.org/10.1145/129712.129732

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