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- W2112243290 abstract "This paper is motivated by a conjecture that BPP can be characterized in terms of polynomial-time nonadaptive reductions to the set of Kolmogorov-random strings. In this paper we show that an approach laid out in [Allender et al] to settle this conjecture cannot succeed without significant alteration, but that it does bear fruit if we consider time-bounded Kolmogorov complexity instead. We show that if a set A is reducible in polynomial time to the set of time-t-bounded Kolmogorov random strings (for all large enough time bounds t), then A is in P/poly, and that if in addition such a reduction exists for any universal Turing machine one uses in the definition of Kolmogorov complexity, then A is in PSPACE." @default.
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- W2112243290 date "2014-08-19" @default.
- W2112243290 modified "2023-09-25" @default.
- W2112243290 title "Reductions to the set of random strings: The resource-bounded case" @default.
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- W2112243290 doi "https://doi.org/10.2168/lmcs-10(3:5)2014" @default.
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