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Add X as a hypothesis, where X is not known to be either true or false.
28
votes
Accepted
Consequences of NP=PSPACE
If $\mathsf{NP} = \mathsf{PSPACE}$, this would imply:
$\mathsf{P^{\#P}} = \mathsf{NP}$That is, counting the solutions to a problem in $\mathsf{NP}$ would be polytime reducible to finding a single so …
21
votes
Consequences of $SAT \in BQP$
Scott Aaronson was often fond of pointing out (and probably still is fond of pointing out, assuming he hasn't gotten tired of doing so) that physical processes do not always find the global minimum of …