A Superpolynomial Lower Bound on the Size of Uniform Non-constant-depth Threshold Circuits for the Permanent

Pascal Koiran; Sylvain Perifel

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arXiv · 0902.1866

A Superpolynomial Lower Bound on the Size of Uniform Non-constant-depth Threshold Circuits for the Permanent

Pascal Koiran·Sylvain Perifel

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Abstract

We show that the permanent cannot be computed by DLOGTIME-uniform threshold or arithmetic circuits of depth o(log log n) and polynomial size.

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Pascal Koiran, Sylvain Perifel. 2009-02-11. A Superpolynomial Lower Bound on the Size of Uniform Non-constant-depth Threshold Circuits for the Permanent. https://arxiv.org/abs/0902.1866

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