Web Reference: Lambda Calculus vs. Turing Machines on Hacker News - This discussion highlights the equivalence of lambda calculus, Turing machines, and other systems of computation, while noting preferences for one over the other based on explanatory power. Untyped lambda calculus, the topic of this article, is a universal machine, i.e. a model of computation that can be used to simulate any Turing machine (and vice versa). It was introduced by the mathematician Alonzo Church in the 1930s as part of his research into the foundations of mathematics. May 7, 2017 · In computability theory, equivalence between two theoretical models of computation means that they can solve the same set of problems. Anything you can compute in a Turing Machine, you can compute using Lambda Calculus, and vice versa. How do we prove this?
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