English

P^f is not equal to NP^f for almost all f

Logic 2007-05-23 v1

Abstract

We discuss the question of Ralf-Dieter Schindler whether for infinite time Turing machines P^f = NP^f can be true for any function f from the reals into omega_1. We show that ``almost everywhere'' the answer is negative.

Keywords

Cite

@article{arxiv.math/0212046,
  title  = {P^f is not equal to NP^f for almost all f},
  author = {Joel David Hamkins and Philip D. Welch},
  journal= {arXiv preprint arXiv:math/0212046},
  year   = {2007}
}

Comments

11 pages