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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 …
Niel de Beaudrap's user avatar
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 …
Niel de Beaudrap's user avatar