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In computational complexity, NP is the complexity class consisting of problems whose yes instances can be verified in polynomial time. NP stands for 'nondeterministic polynomial time '.

5 votes

Characterize P^NP (a.k.a. Delta_2^p)

This class is also known as Δ2P. See the complexity zoo for more details and results.
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4 votes

How can one characterize NP^SAT?

Yes, NP^SAT = NP^NP, because SAT is complete for NP. I don't know what else can be said about this class (it's not in the complexity zoo). See the wikipedia oracle page for more details. …
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