<http://ephermata.livejournal.com/190880.html?mode=reply>
David Molnar (ephermata) wrote,
@ 2008-10-04 01:59:00
Current music:
Crystal Castles - Air War
What does knot theory have to do with P^#P != NP ?
I didn't know, but Michael H. Freedman has an answer - by assuming
that the complexity class P^#P is not equal to NP, you can prove a new
theorem in knot theory!
Complexity Classes as Mathematical Axioms
M. Freedman
(Submitted on 30 Sep 2008)
Abstract: Treating a conjecture, P^#P != NP, on the separation of
complexity classes as an axiom, an implication is found in three
manifold topology with little obvious connection to complexity theory.
This is reminiscent of Harvey Friedman's work on finitistic
interpretations of large cardinal axioms.
http://arxiv.org/abs/0810.0033
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