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- Exponential_hierarchy abstract "In computational complexity theory, the exponential hierarchy is a hierarchy of complexity classes, which is an exponential time analogue of the polynomial hierarchy. As elsewhere in complexity theory, “exponential” is used in two different meanings (linear exponential bounds for a constant c, and full exponential bounds ), leading to two versions of the exponential hierarchy:EH is the union of the classes for all k, where (i.e., languages computable in nondeterministic time for some constant c with a oracle). One also defines , . An equivalent definition is that a language L is in if and only if it can be written in the formwhere is a predicate computable in time (which implicitly bounds the length of yi). Also equivalently, EH is the class of languages computable on an alternating Turing machine in time for some c with constantly many alternations.EXPH is the union of the classes , where (languages computable in nondeterministic time for some constant c with a oracle), and again , . A language L is in if and only if it can be written aswhere is computable in time for some c, which again implicitly bounds the length of yi. Equivalently, EXPH is the class of languages computable in time on an alternating Turing machine with constantly many alternations.We have E ⊆ NE ⊆ EH ⊆ ESPACE, EXP ⊆ NEXP ⊆ EXPH ⊆ EXPSPACE, and EH ⊆ EXPH.".
- Exponential_hierarchy wikiPageID "665091".
- Exponential_hierarchy wikiPageRevisionID "576169247".
- Exponential_hierarchy hasPhotoCollection Exponential_hierarchy.
- Exponential_hierarchy subject Category:Complexity_classes.
- Exponential_hierarchy type Abstraction100002137.
- Exponential_hierarchy type Class107997703.
- Exponential_hierarchy type Collection107951464.
- Exponential_hierarchy type ComplexityClasses.
- Exponential_hierarchy type Group100031264.
- Exponential_hierarchy comment "In computational complexity theory, the exponential hierarchy is a hierarchy of complexity classes, which is an exponential time analogue of the polynomial hierarchy.".
- Exponential_hierarchy label "Exponential hierarchy".
- Exponential_hierarchy label "Gerarchia esponenziale".
- Exponential_hierarchy label "指數譜系".
- Exponential_hierarchy sameAs Gerarchia_esponenziale.
- Exponential_hierarchy sameAs m.031010.
- Exponential_hierarchy sameAs Q3760905.
- Exponential_hierarchy sameAs Q3760905.
- Exponential_hierarchy sameAs Exponential_hierarchy.
- Exponential_hierarchy wasDerivedFrom Exponential_hierarchy?oldid=576169247.
- Exponential_hierarchy isPrimaryTopicOf Exponential_hierarchy.