Church's Thesis and Functional Programming

@inproceedings{Turner2006ChurchsTA,
  title={Church's Thesis and Functional Programming},
  author={David Turner},
  year={2006}
}
ion λx.A In the last case λx. is a binder and free occurrences of x in A become bound . A term in which all variables are bound is said to be closed otherwise it is open. The motivating idea is that closed term represent functions. The intended meaning of AB is the application of function A to argument B while λx.A is the function which for input x returns A. Terms which are the same except for renaming of bound variables are not distinguished, thus λx.x and λy.y are the same, identity function… 

Turing-Church thesis, constructve mathematics and intuitionist logic

At a first glance the Theory of computation relies on potential infinity and an organization aimed at solving a problem. Under such aspect it is like Mendeleev’s theory of chemistry. Also its

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