# Probabilistic Autoreductions

@inproceedings{Zhang2016ProbabilisticA,
title={Probabilistic Autoreductions},
author={Liyu Zhang and Chen Yuan and Haibin Kan},
booktitle={SOFSEM},
year={2016}
}
• Published in SOFSEM 23 January 2016
• Mathematics, Computer Science
We consider autoreducibility of complete sets for the two common types of probabilistic polynomial-time reductions: RP reductions containing one-sided errors on positive input instances only, and BPP reductions containing two-sided errors. Specifically, we focus on the probabilistic counterparts of the deterministic many-one and truth-table autoreductions. We prove that non-trivial complete sets of NP are autoreducible for the RP many-one reduction. This extends the result by Glaβer et al. [9…

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