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Bounded-depth, polynomial-size circuits for symmetric functions

✍ Scribed by Ronald Fagin; Maria M. Klawe; Nicholas J. Pippenger; Larry Stockmeyer


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
787 KB
Volume
36
Category
Article
ISSN
0304-3975

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We prove a lower bound, exponential in the eighth root of the input length, on the size of monotone arithmetic circuits that solve an NP problem related to clique detection. The result is more general than the famous lower bound of Razborov and Andreev, because the gates of the circuit are allowed t