Church-Turing Thesis: Whenever there is an effective method algorithm for obtaining the values of a mathematical function, the function can be computed by a TM. This claim, which we call the Strong Church-Turing Thesis , is part of the mainstream theory of computation. In particular, it can be found in today's popular undergraduate theory textbooks:. It is a myth that the original Church-Turing thesis is equivalent to this interpretation of it; Turing himself would have denied it.
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Church’s Thesis for Turing Machine - GeeksforGeeks
In computability theory , the Church—Turing thesis also known as computability thesis ,  the Turing—Church thesis ,  the Church—Turing conjecture , Church's thesis , Church's conjecture , and Turing's thesis is a hypothesis 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. 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 s, several independent attempts were made to formalize the notion of computability :. This has led mathematicians and computer scientists to believe that the concept of computability is accurately characterized by these three equivalent processes. Other formal attempts to characterize computability have subsequently strengthened this belief see below.
The Turing thesis is too specific a concept to be accurately stated by anyone capable of using in "The method will always produce the result in a finite number of steps. User:Anothony DiPierro added:. Would you like to ellaborate a bit on what this means? I have a suspicion that it's misinterperative.
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