Bi-immunity separates strong NP-completeness notions

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Bi-Immunity Separates Strong NP-Completeness Notions

We prove that if for some ǫ > 0, NP contains a set that is DTIME(2n ǫ )-bi-immune, then NP contains a set that is 2-Turing complete for NP (hence 3-truth-table complete) but not 1-truth-table complete for NP. Thus this hypothesis implies a strong separation of completeness notions for NP. Lutz and Mayordomo [LM96] and Ambos-Spies and Bentzien [ASB00] previously obtained the same consequence usi...

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ژورنال

عنوان ژورنال: Information and Computation

سال: 2004

ISSN: 0890-5401

DOI: 10.1016/j.ic.2003.05.001