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

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.

• Type: Journal
• Year: 2010
• Where: CORR
• Authors: David Doty
• Keywords: Alternate Proof, CORR 2010, Education, Kolmogorov Complexity, Oracle