A Note on Unconditional Subexponential-time Pseudo-deterministic Algorithms for BPP Search Problems

07/18/2017

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by   Dhiraj Holden, et al.

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We show the first unconditional pseudo-determinism result for all of search-BPP. Specifically, we show that every BPP search problem can be computed pseudo-deterministically on average for infinitely many input lengths. In other words, for infinitely many input lengths and for any polynomial-time samplable distribution our algorithm succeeds in producing a unique answer (if one exists) with high probability over the distribution and the coins tossed.