Separating the Communication Complexities of MOD m and MOD p Circuits

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Separating the Communication Complexities of MOD m and MOD p Circuits

We prove in this paper that it is much harder to evaluate depth–2, size–N circuits with MOD m gates than with MOD p gates by k–party communication protocols: we show a k–party protocol which communicates O(1) bits to evaluate circuits with MOD p gates, while evaluating circuits with MOD m gates needs Ω(N) bits, where p denotes a prime, and m a composite, non-prime power number. As a corollary, ...

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ژورنال

عنوان ژورنال: Journal of Computer and System Sciences

سال: 1995

ISSN: 0022-0000

DOI: 10.1006/jcss.1995.1069