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A Lower Bound for the Size of Syntactically Multilinear Arithmetic Circuits

โœ Scribed by Raz, Ran; Shpilka, Amir; Yehudayoff, Amir


Book ID
118180919
Publisher
Society for Industrial and Applied Mathematics
Year
2008
Tongue
English
Weight
330 KB
Volume
38
Category
Article
ISSN
0097-5397

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An Exponential Lower Bound for the Size
โœ Armin Haken; Stephen A. Cook ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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