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- W1497509478 abstract "We show the following results regarding complete sets.NP-complete sets and PSPACE-complete sets are many-one autoreducible.Complete sets of any level of PH, MODPH, or the Boolean hierarchy over NP are many-one autoreducible.EXP-complete sets are many-one mitotic.NEXP-complete sets are weakly many-one mitotic.PSPACE-complete sets are weakly Turing-mitotic.If one-way permutations and quick pseudo-random generators exist, then NP-complete languages are m-mitotic.If there is a tally language in NP ∩ coNP - P, then, for every e > 0, NP-complete sets are not 2n(1+e)-immune.These results solve several of the open questions raised by Buhrman and Torenvliet in their 1994 survey paper on the structure of complete sets." @default.
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- W1497509478 date "2005-01-01" @default.
- W1497509478 modified "2023-09-25" @default.
- W1497509478 title "Autoreducibility, Mitoticity, and Immunity" @default.
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- W1497509478 doi "https://doi.org/10.1007/11549345_34" @default.
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