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  1. Dec 6, 2012 · 3-valued a₁ abstraction Alonzo Church analysis Anderson Anthony Anderson argument arithmetic atomic axiom axiomatization binary Boolean calculus Church Church's Theorem classical complete computable concept constant construction context defined definition denotation derivable domain Dummett element epistemic equality formula equivalence ...

  2. For Church, a syntax and semantics for a given language, whether formal or informal, is a theory of norms of correct use for that language; and, in general, syntax and semantics for formal languages is a theory of the languages we should speak for the purposes of logical analysis, the discovery and dissolution of paradox, and (other) scientific ...

  3. 9780262312677. Publication date: 2013. Computer scientists, mathematicians, and philosophers discuss the conceptual foundations of the notion of computability as well as recent theoretical developments. In the 1930s a series of seminal works published by Alan Turing, Kurt Gödel, Alonzo Church, and others established the theoretical basis for ...

  4. Mar 28, 2015 · This paper is a concise and painless introduction to the $λ$-calculus. This formalism was developed by Alonzo Church as a tool for studying the mathematical properties of effectively computable functions. The formalism became popular and has provided a strong theoretical foundation for the family of functional programming languages. This tutorial shows how to perform arithmetical and logical ...

  5. Alonzo Church. Born June 14, 1903, Washington, D. C.; mathematical logician, creator of the Lambda Calculus who contributed the Church-Rosser theorem to the study of computer science.

  6. Alonzo Church. Princeton University Press, 1996 - Mathematics - 378 pages. Logic is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church was a pioneer in the field of mathematical logic, whose contributions to number theory and the theories of ...

  7. CHURCH, ALONZO(1903–1995) Alonzo Church, an American logician and philosopher, was born in Washington, D.C. He received his PhD from Princeton in 1927, having written his dissertation under Oswald Veblen on alternatives to the axiom of choice.

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