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Exponential Size Lower Bounds for Some Depth 3 Circuits

✍ Scribed by P.Y. Yan; I. Parberry


Book ID
112252085
Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
513 KB
Volume
112
Category
Article
ISSN
0890-5401

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An Exponential Lower Bound for the Size
✍ Armin Haken; Stephen A. Cook πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 118 KB

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