On the power of two-local random reductions

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Abstract

We show that any language that has a two-locally-random reduction in which the target functions are boolean is in NP/poly∩co-NP/poly. This extends and simplifies a result by Yao.

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Fortnow, L., & Szegedy, M. (1993). On the power of two-local random reductions. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 739 LNCS, pp. 346–351). Springer Verlag. https://doi.org/10.1007/3-540-57332-1_29

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