The shrinkage exponent of de Morgan formulas is 2 (1998)
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by
Johan Håstad
| Venue: | SIAM JOURNAL ON COMPUTING |
| Citations: | 15 - 0 self |
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@ARTICLE{Håstad98theshrinkage,
author = {Johan Håstad},
title = {The shrinkage exponent of de Morgan formulas is 2},
journal = {SIAM JOURNAL ON COMPUTING},
year = {1998}
}
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Abstract
Abstract. We provethat if we hit a de Morgan formula of size L with a random restriction from Rp then the expected remaining size is at most O(p 2 1 (log p)3=2L + p p L). As a corollary we obtain a (n 3;o(1))formula size lower bound for an explicit function in P. This is the strongest known lower bound for any explicit function in NP.
