| TR#: | CS0438 |
| Class: | CS |
| Title: | Generalized Lower Bounds Derived from Hastad's Main Lemma |
| Authors: | Shlomo Moran |
| CS0438.pdf | |
| Abstract: | In [H] it is proven, among other things, that the size of any depth k circuit computing the parity or the majority function is Omega(2^o.1(0.3n)^u(k-1)). In this note we generalize the ptoof given there to yield similar lower bounds for arbitrary symmetric functions of {0,1}^n. This improves results in [FKPS], where it was shown that the non-existence cf polynomial-size, constant-depth circuits for the majority function implies the non-existence of such circuits for other symmetric functions. |
| Copyright | The above paper is copyright by the Technion, Author(s), or others. Please contact the author(s) for more information |
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