Church–Turing thesis
In computability theory, the Church–Turing thesis is a thesis about the nature of computable functions. It states that a function on the natural numbers can be calculated by an effective method if and only if it is computable by a Turing machine. The thesis is named after American mathematician Alonzo Church and the British mathematician Alan Turing. Before the precise definition of computable function, mathematicians often used the informal term effectively calculable to describe functions that are computable by paper-and-pencil methods. In the 1930s, several independent attempts were made to formalize the notion of computability:
Church–Turing thesis - Wikipedia Jump to content From Wikipedia, the free encyclopedia Thesis on the nature of computability "Church's thesis" redirects here. For the axiom CT in constructive mathematics, see Church's thesis (constructive mathematics) . In computability theory , the Church–Turing thesis {{Cite journal |last=Soare |first=Robert I. |date=2009-09-01 |title=Turing oracle machines, online computing, and three displacements in computability theory |url=https://linkinghub.elsevier.com/retrieve/pii/S0168007209000128 |journal=Annals of Pure and Applied Logic |series=Computation and Log
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