Skip to main content

New answers tagged

0 votes

Are the notions of #P-completeness via Turing reductions and polynomial many-one counting reductions equivalent?

The answer to your question is in this paper Cook reductions blur structural differences between functional complexity classes.
Tayfun Pay's user avatar
  • 2,648
1 vote

Are the notions of #P-completeness via Turing reductions and polynomial many-one counting reductions equivalent?

I believe this is open, even if you assume $\mathsf{FP} \neq \mathsf{\# P}$. It's closely related to parsimonious reductions. If $R,S$ are relations defining languages in NP (that is, $L_R = \{x : (\...
Joshua Grochow's user avatar
3 votes

Are the notions of #P-completeness via Turing reductions and polynomial many-one counting reductions equivalent?

Of course, if all of the functions in #P are computable in deterministic polynomial time, then the answer to your question is "no". I think that it would be a very interesting theorem if ...
Eric Allender's user avatar

Top 50 recent answers are included