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- In computational complexity theory, polynomial creativity is a theory analogous to the theory of creative sets in recursion theory and mathematical logic. The k-creative sets are a family of formal languages in the complexity class NP whose complements certifiably do not have -time nondeterministic recognition algorithms. The k-creative sets are conjectured to form counterexamples to the Berman–Hartmanis conjecture on isomorphism of NP-complete sets. It is NP-complete to test whether an input string belongs to any one of these languages, but no polynomial time isomorphisms between all such languages and other NP-complete languages are known. Polynomial creativity and the k-creative sets were introduced in 1985 by Deborah Joseph and Paul Young, following earlier attempts to define polynomial analogues for creative sets by Ko and Moore. (en)
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- 8969 (xsd:nonNegativeInteger)
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- In computational complexity theory, polynomial creativity is a theory analogous to the theory of creative sets in recursion theory and mathematical logic. The k-creative sets are a family of formal languages in the complexity class NP whose complements certifiably do not have -time nondeterministic recognition algorithms. (en)
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- Polynomial creativity (en)
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