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Pf is not equal to NPf for almost all f

Joel David Hamkins, Philip D. Welch

math.LOarXiv:math/0212046

Abstract

We discuss the question of Ralf-Dieter Schindler whether for infinite time Turing machines Pf = NPf can be true for any function f from the reals into omega1. We show that ``almost everywhere'' the answer is negative.

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