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- W1470965256 abstract "Let $R$ be a unidirectional asynchronous ring of $n$ processors each with a single input bit. Let $f$ be any cyclic non-constant function of $n$ boolean variables. Moran and Warmuth [8] prove that any deterministic algorithm for $R$ that evaluates $f$ has communication complexity $Omega (n log n)$ bits. They also construct a cyclic non-constant boolean function that can be evaluated in $O(n log n)$ bits by a deterministic algorithm. This contrasts with the following new results: begin{enumerate} item There exists a cyclic non-constant boolean function which can be evaluated with expected complexity $O (n sqrt{log n})$ bits by a randomized algorithm for $R$. item Any nondeterministic algorithm for $R$ which evaluates any cyclic non-constant function has communication complexity $Omega (n sqrt{log n})$ bits. end{enumerate" @default.
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- W1470965256 date "1988-01-01" @default.
- W1470965256 modified "2023-10-06" @default.
- W1470965256 title "Randomized function evaluation on a ring" @default.
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- W1470965256 doi "https://doi.org/10.1007/bfb0019812" @default.
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