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We obtain a new definition of creativeness for NP, called NP- creativeness. We show that all NP-creative sets are NP-complete and provide strong evidence that all known NP-complete sets are NP- creative. We also show that all NP-creative sets are complete under exponentially honest reductions and contain an infinite NP subset in their complement (in other words, they are not NP-simple). 2

NP-Creative sets: A new class of creative sets in NP