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- NP_(complexity) abstract "In computational complexity theory, NP is one of the most fundamental complexity classes.The abbreviation NP refers to "nondeterministic polynomial time."Intuitively, NP is the set of all decision problems for which the instances where the answer is "yes" have efficiently verifiable proofs of the fact that the answer is indeed "yes". More precisely, these proofs have to be verifiable in polynomial time by a deterministic Turing machine.In an equivalent formal definition, NP is the set of decision problems where the "yes"-instances can be accepted in polynomial time by a non-deterministic Turing machine. The equivalence of the two definitions follows from the fact that an algorithm on such a non-deterministic machine consists of two phases, the first of which consists of a guess about the solution, which is generated in a non-deterministic way, while the second consists of a deterministic algorithm that verifies or rejects the guess as a valid solution to the problem.The complexity class P is contained in NP, but NP contains many important problems, the hardest of which are called NP-complete problems, whose solutions are sufficient to deal with any other NP problem in polynomial time. The most important open question in complexity theory, the P = NP problem, asks whether polynomial time algorithms actually exist for NP-complete, and by corollary, all NP problems. It is widely believed that this is not the case.".
- NP_(complexity) thumbnail P_np_np-complete_np-hard.svg?width=300.
- NP_(complexity) wikiPageExternalLink npc.html.
- NP_(complexity) wikiPageExternalLink accidental-algorithms.
- NP_(complexity) wikiPageID "21562".
- NP_(complexity) wikiPageRevisionID "605287357".
- NP_(complexity) hasPhotoCollection NP_(complexity).
- NP_(complexity) subject Category:Complexity_classes.
- NP_(complexity) type Abstraction100002137.
- NP_(complexity) type Class107997703.
- NP_(complexity) type Collection107951464.
- NP_(complexity) type ComplexityClasses.
- NP_(complexity) type Group100031264.
- NP_(complexity) comment "In computational complexity theory, NP is one of the most fundamental complexity classes.The abbreviation NP refers to "nondeterministic polynomial time."Intuitively, NP is the set of all decision problems for which the instances where the answer is "yes" have efficiently verifiable proofs of the fact that the answer is indeed "yes".".
- NP_(complexity) label "NP (Komplexitätsklasse)".
- NP_(complexity) label "NP (clase de complejidad)".
- NP_(complexity) label "NP (complessità)".
- NP_(complexity) label "NP (complexidade)".
- NP_(complexity) label "NP (complexiteitsklasse)".
- NP_(complexity) label "NP (complexity)".
- NP_(complexity) label "NP (complexité)".
- NP_(complexity) label "NP (複雜度)".
- NP_(complexity) label "NP".
- NP_(complexity) label "Problem NP".
- NP_(complexity) label "Класс NP".
- NP_(complexity) label "كثير حدود غير قطعي".
- NP_(complexity) sameAs NP_(třída_složitosti).
- NP_(complexity) sameAs NP_(Komplexitätsklasse).
- NP_(complexity) sameAs NP_(clase_de_complejidad).
- NP_(complexity) sameAs NP_(complexité).
- NP_(complexity) sameAs NP_(complessità).
- NP_(complexity) sameAs NP.
- NP_(complexity) sameAs NP_(복잡도).
- NP_(complexity) sameAs NP_(complexiteitsklasse).
- NP_(complexity) sameAs Problem_NP.
- NP_(complexity) sameAs NP_(complexidade).
- NP_(complexity) sameAs m.05dsb.
- NP_(complexity) sameAs Q628036.
- NP_(complexity) sameAs Q628036.
- NP_(complexity) sameAs NP_(complexity).
- NP_(complexity) wasDerivedFrom NP_(complexity)?oldid=605287357.
- NP_(complexity) depiction P_np_np-complete_np-hard.svg.
- NP_(complexity) isPrimaryTopicOf NP_(complexity).