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- Turing_completeness abstract "In computability theory, a system of data-manipulation rules (such as a computer's instruction set, a programming language, or a cellular automaton) is said to be Turing complete or computationally universal if it can be used to simulate any single-taped Turing machine. The concept is named after Alan Turing. A classic example is lambda calculus.Computability theory includes the closely related concept of Turing equivalence. Two computers P and Q are called Turing equivalent if P can simulate Q and Q can simulate P. Thus, a Turing-complete system is one that can simulate a Turing machine; and, per the Church–Turing thesis, that any real-world computer can be simulated by a Turing machine, it is Turing equivalent to a Turing machine.In colloquial usage, the terms "Turing complete" or "Turing equivalent" are used to mean that any real-world general-purpose computer or computer language can approximately simulate any other real-world general-purpose computer or computer language. The reason this is only approximate is that within the bounds of finite memory, they are only linear bounded automaton complete. Also, any physical computing device has a finite lifespan. In contrast, a universal computer is defined as a device with a Turing complete instruction set, infinite memory, and an infinite lifespan.To show that something is Turing complete, it is enough to show that it can be used to simulate some Turing complete system. For example, an imperative language is Turing complete if it has conditional branching (e.g., "if" and "goto" statements, or a "branch if zero" instruction. See OISC) and the ability to change arbitrary memory locations (e.g., the ability to maintain an arbitrary number of variables). Since this is almost always the case, most if not all imperative languages are Turing complete if we ignore any limitations of finite memory.".
- Turing_completeness wikiPageExternalLink wiki?TuringComplete.
- Turing_completeness wikiPageExternalLink dn12826-simplest-universal-computer-wins-student-25000.html.
- Turing_completeness wikiPageExternalLink tp2-ie.pdf.
- Turing_completeness wikiPageID "30621".
- Turing_completeness wikiPageRevisionID "604478100".
- Turing_completeness hasPhotoCollection Turing_completeness.
- Turing_completeness subject Category:Programming_language_theory.
- Turing_completeness subject Category:Theory_of_computation.
- Turing_completeness subject Category:Turing_machine.
- Turing_completeness comment "In computability theory, a system of data-manipulation rules (such as a computer's instruction set, a programming language, or a cellular automaton) is said to be Turing complete or computationally universal if it can be used to simulate any single-taped Turing machine. The concept is named after Alan Turing. A classic example is lambda calculus.Computability theory includes the closely related concept of Turing equivalence.".
- Turing_completeness label "Kompletność Turinga".
- Turing_completeness label "Turing completeness".
- Turing_completeness label "Turing completo".
- Turing_completeness label "Turing completude".
- Turing_completeness label "Turing equivalenza".
- Turing_completeness label "Turing-Vollständigkeit".
- Turing_completeness label "Turing-complet".
- Turing_completeness label "Turingvolledigheid".
- Turing_completeness label "Полнота по Тьюрингу".
- Turing_completeness label "チューリング完全".
- Turing_completeness label "圖靈完備性".
- Turing_completeness sameAs Turingovská_úplnost.
- Turing_completeness sameAs Turing-Vollständigkeit.
- Turing_completeness sameAs Turing_completo.
- Turing_completeness sameAs Turing-complet.
- Turing_completeness sameAs Turing_equivalenza.
- Turing_completeness sameAs チューリング完全.
- Turing_completeness sameAs 튜링_완전.
- Turing_completeness sameAs Turingvolledigheid.
- Turing_completeness sameAs Kompletność_Turinga.
- Turing_completeness sameAs Turing_completude.
- Turing_completeness sameAs m.07jn9.
- Turing_completeness sameAs Q197970.
- Turing_completeness sameAs Q197970.
- Turing_completeness wasDerivedFrom Turing_completeness?oldid=604478100.
- Turing_completeness isPrimaryTopicOf Turing_completeness.