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- Mahaney's theorem is a theorem in computational complexity theory proven by Stephen Mahaney that states that if any sparse language is NP-complete, then P = NP. Also, if any sparse language is NP-complete with respect to Turing reductions, then the polynomial-time hierarchy collapses to . Mahaney's argument does not actually require the sparse language to be in NP, so there is a sparse NP-hard set if and only if P = NP. This is because the existence of an NP-hard sparse set implies the existence of an NP-complete sparse set. (en)
- En informatique théorique, et plus précisément en théorie de la complexité, le théorème de Mahaney dit que s'il existe un langage creux NP-complet, alors P = NP. Un langage creux est un langage où le nombre de mots de longueur n du langage est polynomial en n. (fr)
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- 1260 (xsd:nonNegativeInteger)
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- Mahaney's theorem is a theorem in computational complexity theory proven by Stephen Mahaney that states that if any sparse language is NP-complete, then P = NP. Also, if any sparse language is NP-complete with respect to Turing reductions, then the polynomial-time hierarchy collapses to . Mahaney's argument does not actually require the sparse language to be in NP, so there is a sparse NP-hard set if and only if P = NP. This is because the existence of an NP-hard sparse set implies the existence of an NP-complete sparse set. (en)
- En informatique théorique, et plus précisément en théorie de la complexité, le théorème de Mahaney dit que s'il existe un langage creux NP-complet, alors P = NP. Un langage creux est un langage où le nombre de mots de longueur n du langage est polynomial en n. (fr)
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- Théorème de Mahaney (fr)
- Mahaney's theorem (en)
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