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23 de may. de 2024 · Lambda calculus was introduced by mathematician Alonzo Church in the 1930s as part of an investigation into the foundations of mathematics. The original system was shown to be logically inconsistent in 1935 when Stephen Kleene and J. B. Rosser developed the Kleene–Rosser paradox.
21 de may. de 2024 · Alonzo Church and lambda calculus. The key figure in the creation of lambda calculus was Alonzo Church, an American mathematician and logician. In the 1930s, Church introduced lambda calculus as part of his broader efforts to formalize the notion of computation and reasoning in mathematics.
Hace 1 día · [a] Type theory is the academic study of type systems. Some type theories serve as alternatives to set theory as a foundation of mathematics. Two influential type theories that have been proposed as foundations are: Typed λ-calculus of Alonzo Church. Intuitionistic type theory of Per Martin-Löf.
14 de may. de 2024 · Alonzo Church , who was not a logicist, wrote that “logic and mathematics should be characterized, not as different subjects, but as elementary and advanced parts of the same subject” (p. 332). Corcoran’s mathematical work provides all the witness one would need for the grain of truth underlying logicism.
22 de may. de 2024 · In his famous paper, "An Unsolvable Problem of Elementary Number Theory," Alonzo Church (1936) identified the intuitive notion of effective calculability with the mathematically precise notion of recursiveness. This proposal, known as Church's Thesis, has been widely accepted. In this talk I consider two early arguments against it.
Hace 1 día · Although Turing's proof was published shortly after Alonzo Church's equivalent proof using his lambda calculus, Turing's approach is considerably more accessible and intuitive than Church's. It also included a notion of a 'Universal Machine' (now known as a universal Turing machine ), with the idea that such a machine could perform the tasks of any other computation machine (as indeed could ...
4 de may. de 2024 · He earned his PhD at Princeton in 1964, under the supervision of Alonzo Church. I can't determine from Google any other details of his life, such as the year of his birth or whether he's still alive. Is any of this recorded somewhere?
