A zero one law for RP

Russell Impagliazzo, Philippe Moser · 2004

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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