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Better Lower Bounds for Monotone Threshold Formulas

✍ Scribed by Jaikumar Radhakrishnan


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
670 KB
Volume
54
Category
Article
ISSN
0022-0000

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✦ Synopsis


We show that every monotone formula that computes the threshold function TH k, n , 2 k nΓ‚2, has size at least wkΓ‚2x 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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