Recursive languages sets computability (1 résultats)

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    • Langue : anglais

      Edité par Omniscriptum, 2010

      6130347421 / 9786130347420

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      Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In computabilitytheory, a set is decidable, computable, or recursive if there is analgorithm that terminates after a finite amount of time and correctlydecides whether or not a given object belongs to the set. Decidabilityof a set is of particular interest when the set is viewed as a decisionproblem; a decidable set is also a decidable problem, computableproblem, and recursive problem. The remainder of this article uses theterm decidable, although recursive and computable are equivalent in thiscontext. A language is a set of finite strings over a particularalphabet. A language is decidable (also computable, recursive) if it isa decidable set. A set, language, or decision problem that is notdecidable is undecidable, non-recursive, non-computable, oruncomputable. There are many known undecidable sets; one of theearliest, and most famous, examples is the halting problem.