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
β¦ LIBER β¦
Better Lower Bounds for Monotone Threshold Formulas
β Scribed by Jaikumar Radhakrishnan
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 670 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0022-0000
No coin nor oath required. For personal study only.
β¦ Synopsis
We show that every monotone formula that computes the threshold function TH k, n , 2 k nΓ2, has size at least wkΓ2x n log(nΓ(k&1)). The same lower bound is shown to hold in the stronger monotone directed contact networks model.
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