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- W2912631179 abstract "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] that complete sets of NP are autoreducible for the deterministic many-one reduction. We also prove that complete sets of classes in the truth-table Polynomial Hierarchy, which is the polynomial hierarchy defined using the truth-table reduction instead of the general Turing reduction, are autoreducible with respect to the BPP truth-table reductions. This generalizes the result by Buhrman et al. [3] that truth-table-complete sets for NP are probabilistically truth-table autoreducible to multiple classes of higher complexity although for a weaker reduction." @default.
- W2912631179 created "2019-02-21" @default.
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- W2912631179 date "2016-01-01" @default.
- W2912631179 modified "2023-10-06" @default.
- W2912631179 title "Probabilistic Autoreductions" @default.
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- W2912631179 doi "https://doi.org/10.1007/978-3-662-49192-8_34" @default.
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