New answers tagged reductions
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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.
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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 : (\...
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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 ...
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