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- EXPTIME abstract ""EXP" redirects here; for other uses, see exp.In computational complexity theory, the complexity class EXPTIME (sometimes called EXP or DEXPTIME) is the set of all decision problems solvable by a deterministic Turing machine in O(2p(n)) time, where p(n) is a polynomial function of n.In terms of DTIME,We knowP NP PSPACE EXPTIME NEXPTIME EXPSPACEand also, by the time hierarchy theorem and the space hierarchy theorem, thatP EXPTIME and NP NEXPTIME and PSPACE EXPSPACEso at least one of the first three inclusions and at least one of the last three inclusions must be proper, but it is not known which ones are. Most experts believe all the inclusions are proper. It's also known that if P = NP, then EXPTIME = NEXPTIME, the class of problems solvable in exponential time by a nondeterministic Turing machine. More precisely, EXPTIME ≠ NEXPTIME if and only if there exist sparse languages in NP that are not in P.EXPTIME can also be reformulated as the space class APSPACE, the problems that can be solved by an alternating Turing machine in polynomial space. This is one way to see that PSPACE EXPTIME, since an alternating Turing machine is at least as powerful as a deterministic Turing machine.EXPTIME is one class in an exponential hierarchy of complexity classes with increasingly more complex oracles or quantifier alternations. The class 2-EXPTIME is defined similarly to EXPTIME but with a doubly exponential time bound . This can be generalized to higher and higher time bounds.".
- EXPTIME thumbnail Complexity_subsets_pspace.svg?width=300.
- EXPTIME wikiPageExternalLink exp.
- EXPTIME wikiPageID "54694".
- EXPTIME wikiPageRevisionID "585003601".
- EXPTIME class "EXPTIME, also called EXP".
- EXPTIME complementClass "self".
- EXPTIME completeClass EXPTIME.
- EXPTIME externalUrls exp.
- EXPTIME hasPhotoCollection EXPTIME.
- EXPTIME longName "Exponential time".
- EXPTIME properSupersets EXPSPACE.
- EXPTIME subject Category:Complexity_classes.
- EXPTIME type Abstraction100002137.
- EXPTIME type Class107997703.
- EXPTIME type Collection107951464.
- EXPTIME type ComplexityClasses.
- EXPTIME type Group100031264.
- EXPTIME comment ""EXP" redirects here; for other uses, see exp.In computational complexity theory, the complexity class EXPTIME (sometimes called EXP or DEXPTIME) is the set of all decision problems solvable by a deterministic Turing machine in O(2p(n)) time, where p(n) is a polynomial function of n.In terms of DTIME,We knowP NP PSPACE EXPTIME NEXPTIME EXPSPACEand also, by the time hierarchy theorem and the space hierarchy theorem, thatP EXPTIME and NP NEXPTIME and PSPACE EXPSPACEso at least one of the first three inclusions and at least one of the last three inclusions must be proper, but it is not known which ones are. ".
- EXPTIME label "EXPTIME".
- EXPTIME label "EXPTIME".
- EXPTIME label "EXPTIME".
- EXPTIME label "EXPTIME".
- EXPTIME label "EXPTIME".
- EXPTIME label "EXPTIME".
- EXPTIME label "EXPTIME".
- EXPTIME label "EXPTIME".
- EXPTIME label "Exptime".
- EXPTIME label "Класс EXPTIME".
- EXPTIME sameAs EXPTIME.
- EXPTIME sameAs EXPTIME.
- EXPTIME sameAs EXPTIME.
- EXPTIME sameAs EXPTIME.
- EXPTIME sameAs EXPTIME.
- EXPTIME sameAs EXPTIME.
- EXPTIME sameAs Exptime.
- EXPTIME sameAs m.0f89x.
- EXPTIME sameAs Q1276570.
- EXPTIME sameAs Q1276570.
- EXPTIME sameAs EXPTIME.
- EXPTIME wasDerivedFrom EXPTIME?oldid=585003601.
- EXPTIME depiction Complexity_subsets_pspace.svg.
- EXPTIME isPrimaryTopicOf EXPTIME.
