Open University. Programming. Java. C Programming. Openlearning.com - Open Online Learning - take public and private courses on many topics! Church–Turing thesis. Several independent attempts were made in the first half of the 20th century to formalize the notion of computability: American mathematician Alonzo Church created a method for defining functions called the λ-calculus,British mathematician Alan Turing created a theoretical model for machines, now called Turing machines, that could carry out calculations from inputs,Austrian-American mathematician Kurt Gödel, with Jacques Herbrand, created a formal definition of a class of functions whose values could be calculated by recursion.
All three computational processes (recursion, the λ-calculus, and the Turing machine) were shown to be equivalent—all three approaches define the same class of functions.[2][3] This has led mathematicians and computer scientists to believe that the concept of computability is accurately characterized by these three equivalent processes. Church-Turing Hypothisis.
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