Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Complexity_class> ?p ?o. }
Showing items 1 to 40 of
40
with 100 items per page.
- Complexity_class abstract "In computational complexity theory, a complexity class is a set of problems of related resource-based complexity. A typical complexity class has a definition of the form:the set of problems that can be solved by an abstract machine M using O(f(n)) of resource R, where n is the size of the input.For example, the class NP is the set of decision problems whose solutions can be determined by a non-deterministic Turing machine in polynomial time, while the class PSPACE is the set of decision problems that can be solved by a deterministic Turing machine in polynomial space.The simpler complexity classes are defined by the following factors: The type of computational problem: The most commonly used problems are decision problems. However, complexity classes can be defined based on function problems (an example is FP), counting problems (e.g. #P), optimization problems, promise problems, etc. The model of computation: The most common model of computation is the deterministic Turing machine, but many complexity classes are based on nondeterministic Turing machines, boolean circuits, quantum Turing machines, monotone circuits, etc. The resource (or resources) that are being bounded and the bounds: These two properties are usually stated together, such as "polynomial time", "logarithmic space", "constant depth", etc.Many complexity classes can be characterized in terms of the mathematical logic needed to express them; see descriptive complexity.Bounding the computation time above by some concrete function f(n) often yields complexity classes that depend on the chosen machine model. For instance, the language {xx | x is any binary string} can be solved in linear time on a multi-tape Turing machine, but necessarily requires quadratic time in the model of single-tape Turing machines. If we allow polynomial variations in running time, Cobham-Edmonds thesis states that "the time complexities in any two reasonable and general models of computation are polynomially related" (Goldreich 2008, Chapter 1.2). This forms the basis for the complexity class P, which is the set of decision problems solvable by a deterministic Turing machine within polynomial time. The corresponding set of function problems is FP.The Blum axioms can be used to define complexity classes without referring to a concrete computational model.".
- Complexity_class wikiPageExternalLink complexity_theory.html.
- Complexity_class wikiPageExternalLink Complexity_Zoo.
- Complexity_class wikiPageID "502426".
- Complexity_class wikiPageRevisionID "580116210".
- Complexity_class hasPhotoCollection Complexity_class.
- Complexity_class subject Category:Complexity_classes.
- Complexity_class subject Category:Computational_complexity_theory.
- Complexity_class subject Category:Measures_of_complexity.
- Complexity_class type Abstraction100002137.
- Complexity_class type Class107997703.
- Complexity_class type Collection107951464.
- Complexity_class type ComplexityClasses.
- Complexity_class type Group100031264.
- Complexity_class comment "In computational complexity theory, a complexity class is a set of problems of related resource-based complexity.".
- Complexity_class label "Clase de complejidad".
- Complexity_class label "Classe de complexidade".
- Complexity_class label "Classe di complessità".
- Complexity_class label "Complexiteitsgraad".
- Complexity_class label "Complexity class".
- Complexity_class label "Klasa złożoności".
- Complexity_class label "Komplexitätsklasse".
- Complexity_class label "Класс сложности".
- Complexity_class label "قسم تعقيد".
- Complexity_class label "复杂性类".
- Complexity_class label "複雑性クラス".
- Complexity_class sameAs Komplexitätsklasse.
- Complexity_class sameAs Clase_de_complejidad.
- Complexity_class sameAs Classe_di_complessità.
- Complexity_class sameAs 複雑性クラス.
- Complexity_class sameAs 복잡도_종류.
- Complexity_class sameAs Complexiteitsgraad.
- Complexity_class sameAs Klasa_złożoności.
- Complexity_class sameAs Classe_de_complexidade.
- Complexity_class sameAs m.02j0nr.
- Complexity_class sameAs Q908207.
- Complexity_class sameAs Q908207.
- Complexity_class sameAs Complexity_class.
- Complexity_class wasDerivedFrom Complexity_class?oldid=580116210.
- Complexity_class isPrimaryTopicOf Complexity_class.