An Oracle Strongly Separating Deterministic Time from Nondeterministic Time, via Kolmogorov Complexity

Published 22 Apr 2010 in cs.CC | (1004.3993v1)

Abstract: Hartmanis used Kolmogorov complexity to provide an alternate proof of the classical result of Baker, Gill, and Solovay that there is an oracle relative to which P is not NP. We refine the technique to strengthen the result, constructing an oracle relative to which a conjecture of Lipton is false.

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David Doty

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