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Church–Turing thesis

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Jul 04,  · The Church-Turing Thesis lies at the junction between computer science, mathematics, physics and philosophy. The Thesis essentially states that everything computable in the "real world" is exactly what is computable within our accepted mathematical abstractions of computation, such as Turing machines. This is a strong statement, and, of course, if one had tried to say the.

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The Church-Turing thesis (formerly commonly known simply as Church's thesis) says that any real-world computation can be translated into an equivalent computation involving a Turing machine. In Church's original formulation (Church , ), the thesis says that .

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The Church-Turing-Thesis in proofs. up vote 3 down vote favorite. Currently I'm trying to understand a proof of the statement: "A language is semi-decidable if and only if some enumerator enumerates it." Problems understanding proof of smn theorem using Church-Turing thesis. 0. Proving the Church-Turing Thesis? Kerry Ojakian1 1SQIG/IT Lisbon and IST, Portugal Logic Seminar Ojakian Proving the Church-Turing Thesis? Proving Church-Turing via ASM? "Proof" of CT in two steps (Boker, Dershowitz, Gurevich): 1 Axiomatize calculable by ASM-computability.

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Computability and Complexity Lecture 2 Computability and Complexity The Church-Turing Thesis What is an algorithm? “a rule for solving a mathematical problem in. The Church-Turing Thesis asserts that all effectively computable numeric functions are recursive and, likewise, they can be computed by a Turing machine, or—more p recisely—can be .