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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 '.
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Extending polynomial hierarchy above $\omega$
The arithmetic hierarchy is naturally extended to all ordinals via ordinal notations creating a hierarchy for all hyperarithmetic sets. The polynomial time hierarchy is defined analogously to the ari …
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Lower Bound of Solutions to P=NP?
said that any non-deterministic Turing machine with running time $n^k$ could be simulated by a deterministic Turing machine running in time $n^{ck}$ until I pointed out that implied a solution to P vs NP …