A zero one law for RP

18th IEEE Annual Conference on Computational Complexity, 2003. Proceedings. Pub Date : 2003-07-07 DOI:10.1109/CCC.2003.1214409

R. Impagliazzo, Philippe Moser

引用次数: 15

Abstract

We show that if RP has p-measure nonzero then ZPP=EXP. As corollaries, we obtain a zero-one law for RP, and that both probabilistic classes ZPP and RP have the same p-measure. Finally we prove that if NP has p-measure nonzero then NP=AM.

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RP的0 - 1定律

我们证明了如果RP具有p测度非零，则ZPP=EXP。作为推论，我们得到了RP的一个0 - 1定律，并且两个概率类ZPP和RP具有相同的p测度。最后证明了如果NP具有p测度非零，则NP=AM。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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18th IEEE Annual Conference on Computational Complexity, 2003. Proceedings.

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