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user 1590
Add X as a hypothesis, where X is not known to be either true or false.
12
votes
Consequences of NP=PSPACE
If ${\bf NP} = {\bf PSPACE}$
1) Polynomial Hierarchy would collapse to ${\bf NP }$.
2) We will now have that ${\bf NP } \not ={\bf NL}$ since we know that ${\bf PSPACE} \not = {\bf NL}$
---UPDATE-- …
- 2,648
7
votes
Consequences of $NP=coNP$ and $P\ne NP$?
There are two definitions for counting classes beyond ${\bf \#P}$. One was defined by Valiant and the other one was defined by Toda.
${ \rm \underline {Valiant's-Definition:}}$ For any class $C$, de …
- 2,648