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Add X as a hypothesis, where X is not known to be either true or false.
12
votes
1
answer
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Consensus on P = NP in a world where RP = NP
$RP = NP$ is widely conjectured to be false.
But imagine for a moment that it is true. In such case, how likely would be that $P = NP$?
Put in other words: in a world where $RP = NP$, what might sti …
36
votes
2
answers
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Consequences of $SAT \in BQP$
As a TCS amateur, I'm reading some popular, very introductory material on quantum computing. Here are the few elementary bits of information I've learned so far:
Quantum computers are not known to s …
38
votes
3
answers
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Consequences of Factoring being in P?
Factoring is not known to be NP-complete. This question asked for consequences of Factoring being NP-complete. Curiously, no one asked for consequences of Factoring being in P (maybe because such a qu …