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He was elected a Fellow of King's in March , at the age of only In the same year he invented the abstract computing machines - now known simply as Turing machines - on which all subsequent stored-program digital computers are modelled. A Turing machine consists of a potentially infinite paper tape, on which is written a finite number of discrete e. Turing proved that a single machine, known as the universal Turing machine, can be programmed to simulate any other Turing machine.

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## Part I - Prog Lang & Comp

Theoretical Computer Science Stack Exchange is a question and answer site for theoretical computer scientists and researchers in related fields. It only takes a minute to sign up. Connect and share knowledge within a single location that is structured and easy to search. I have recently been reading up on some of the ideas and history of the ground-breaking work done by various logicians and mathematicians regarding computability. While the individual concepts are fairly clear to me, I'm am trying to get a firm grasp of there inter-relations and the abstract level at which they are all linked. We know that Church's theorem or rather, the independent proofs of Hilbert's Entscheidungsproblem by Alonzo Church and Alan Turing proved that in general we cannot calculate whether a given mathematical statement in a formal system is true or false. As I understand, the Church-Turing thesis provides a pretty clear description of the equivalence isomorphism between Church's lambda calculus and Turing machines, hence we effectively have a unified model for computability.

### Biography of Turing

Philosophy Stack Exchange is a question and answer site for those interested in the study of the fundamental nature of knowledge, reality, and existence. It only takes a minute to sign up. Connect and share knowledge within a single location that is structured and easy to search.

The Entscheidungsproblem is the problem of finding a humanly executable procedure of a certain sort, and Turing's aim was precisely to show that there is no such procedure in the case of predicate logic. The Church-Turing Thesis. In his paper, "On Computable Numbers, with an Application to the Entscheidungsproblem ", Alan Turing introduced his machines and established their basic properties. Computability and Complexity. It was from the lectures of the topologist M.

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