Zero knowledge and circuit minimization

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Abstract

We show that every problem in the complexity class SZK (Statistical Zero Knowledge) is efficiently reducible to the Minimum Circuit Size Problem (MCSP). In particular Graph Isomorphism lies in RP MCSP. This is the first theorem relating the computational power of Graph Isomorphism and MCSP, despite the long history these problems share, as candidate NP-intermediate problems. © 2014 Springer-Verlag Berlin Heidelberg.

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Allender, E., & Das, B. (2014). Zero knowledge and circuit minimization. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8635 LNCS, pp. 25–32). Springer Verlag. https://doi.org/10.1007/978-3-662-44465-8_3

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