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- Complete_(complexity) abstract "In computational complexity theory, a computational problem is complete for a complexity class if it is, in a technical sense, among the "hardest" (or "most expressive") problems in the complexity class. More formally, a problem p is called hard for a complexity class C under a given type of reduction, if there exists a reduction (of the given type) from any problem in C to p. If a problem is both hard for the class and a member of the class, it is complete for that class (for that type of reduction).A problem that is complete for a class C is said to be C-complete, and the class of all problems complete for C is denoted C-complete. The first complete class to be defined and the most well-known is NP-complete, a class that contains many difficult-to-solve problems that arise in practice. Similarly, a problem hard for a class C is called C-hard, e.g. NP-hard.Normally it is assumed that the reduction in question does not have higher computational complexity than the class itself. Therefore it may be said that if a C-complete problem has a "computationally easy" solution, then all problems in "C" have an "easy" solution. Generally, complexity classes that have a recursive enumeration have known complete problems, whereas those that do not, don't have any known complete problems. For example, NP, co-NP, PLS, PPA all have known natural complete problems, while RP, ZPP, BPP and TFNP do not have any known complete problems (although such a problem may be discovered in the future).[citation needed]There are classes without complete problems. For example, Sipser showed that there is a language M such that BPPM (BPP with oracle M) has no complete problems.".
- Complete_(complexity) wikiPageID "1176530".
- Complete_(complexity) wikiPageRevisionID "543888767".
- Complete_(complexity) hasPhotoCollection Complete_(complexity).
- Complete_(complexity) subject Category:Computational_complexity_theory.
- Complete_(complexity) comment "In computational complexity theory, a computational problem is complete for a complexity class if it is, in a technical sense, among the "hardest" (or "most expressive") problems in the complexity class. More formally, a problem p is called hard for a complexity class C under a given type of reduction, if there exists a reduction (of the given type) from any problem in C to p.".
- Complete_(complexity) label "Complet (complexité)".
- Complete_(complexity) label "Complete (complexity)".
- Complete_(complexity) label "Completo (complessità)".
- Complete_(complexity) label "Schwere und Vollständigkeit (Theoretische Informatik)".
- Complete_(complexity) label "完備 (複雜度)".
- Complete_(complexity) sameAs Schwere_und_Vollständigkeit_(Theoretische_Informatik).
- Complete_(complexity) sameAs Complet_(complexité).
- Complete_(complexity) sameAs Completo_(complessità).
- Complete_(complexity) sameAs m.04dnsp.
- Complete_(complexity) sameAs Q2532728.
- Complete_(complexity) sameAs Q2532728.
- Complete_(complexity) wasDerivedFrom Complete_(complexity)?oldid=543888767.
- Complete_(complexity) isPrimaryTopicOf Complete_(complexity).