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- PH_(complexity) abstract "In computational complexity theory, the complexity class PH is the union of all complexity classes in the polynomial hierarchy:PH was first defined by Larry Stockmeyer. It is a special case of hierarchy of bounded alternating Turing machine. It is contained in P#P = PPP (by Toda's theorem; the class of problems that are decidable by a polynomial time Turing machine with access to a #P or equivalently PP oracle), and also in PSPACE.PH has a simple logical characterization: it is the set of languages expressible by second-order logic.PH contains almost all well-known complexity classes inside PSPACE; in particular, it contains P, NP, and co-NP. It even contains probabilistic classes such as BPP and RP. However, there is some evidence that BQP, the class of problems solvable in polynomial time by a quantum computer, is not contained in PH (Aaronson 2010). P = NP if and only if P = PH. This may simplify a potential proof of P ≠ NP, since it is only necessary to separate P from the more general class PH.".
- PH_(complexity) wikiPageID "658608".
- PH_(complexity) wikiPageRevisionID "596355954".
- PH_(complexity) hasPhotoCollection PH_(complexity).
- PH_(complexity) subject Category:Complexity_classes.
- PH_(complexity) type Abstraction100002137.
- PH_(complexity) type Class107997703.
- PH_(complexity) type Collection107951464.
- PH_(complexity) type ComplexityClasses.
- PH_(complexity) type Group100031264.
- PH_(complexity) comment "In computational complexity theory, the complexity class PH is the union of all complexity classes in the polynomial hierarchy:PH was first defined by Larry Stockmeyer. It is a special case of hierarchy of bounded alternating Turing machine.".
- PH_(complexity) label "PH (clase de complejidad)".
- PH_(complexity) label "PH (complexity)".
- PH_(complexity) label "PH (複雜度)".
- PH_(complexity) label "PH (計算複雑性理論)".
- PH_(complexity) label "PH(التعقيد الحسابي)".
- PH_(complexity) label "Класс PH".
- PH_(complexity) sameAs PH_(clase_de_complejidad).
- PH_(complexity) sameAs PH_(計算複雑性理論).
- PH_(complexity) sameAs PH_(복잡도).
- PH_(complexity) sameAs m.030dqt.
- PH_(complexity) sameAs Q1063380.
- PH_(complexity) sameAs Q1063380.
- PH_(complexity) sameAs PH_(complexity).
- PH_(complexity) wasDerivedFrom PH_(complexity)?oldid=596355954.
- PH_(complexity) isPrimaryTopicOf PH_(complexity).