A note on the power of threshold circuits

A note on the power of threshold circuits
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关于阈值电路功率的说明

DOI:
10.1109/sfcs.1989.63538
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发表时间:
1989
期刊:
30th Annual Symposium on Foundations of Computer Science
影响因子:
--
通讯作者:
Eric Allender
Eric Allender
中科院分区:
--
文献类型:
--
作者:
Eric Allender

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作者提供了一个非常简单的证明,证明了以多项式大小的深度-K接收到的任何语言和 / / / / / / / /或大门接受的任何语言都被深度三个阈值n的阈值n升高到功率o(log o(log) /sup k/n)。该证据使用了S. toda结果的大部分直觉,即多项式层次结构包含在p/ sup hash p/ p/ p/ p/ p/semp。Symp。Sci.Sci。,P.514-519,1989)中。<< Etx> >
The author presents a very simple proof of the fact that any language accepted by polynomial-size depth-k unbounded-fan-in circuits of AND and OR gates is accepted by depth-three threshold circuits of size n raised to the power O(log/sup k/n). The proof uses much of the intuition of S. Toda's result that the polynomial hierarchy is contained in P/sup Hash P/ (30th Ann. Symp. Foundations Comput. Sci., p.514-519, 1989).<<ETX>>