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

David Doty

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arXiv · 1004.3993

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

David Doty

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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. 2010-04-22. An Oracle Strongly Separating Deterministic Time from Nondeterministic Time, via Kolmogorov Complexity. https://arxiv.org/abs/1004.3993

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