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Combinatory logic and lambda-calculus, originally devised in the 1920s, have since developed into linguistic tools, especially useful in programming languages. The authors' previous book served as the main reference for introductory courses on lambda-calculus for over 20 years: this version is thoroughly revised and offers an account of the subject with the same authoritative exposition. The grammar and basic properties of both combinatory logic and lambda-calculus are discussed, followed by an introduction to type-theory. Typed and untyped versions of the systems, and their differences, are covered. Lambda-calculus models, which lie behind much of the semantics of programming languages, are also explained in depth. The treatment is as non-technical as possible, with the main ideas emphasized and illustrated by examples. Many exercises are included, from routine to advanced, with solutions to most at the end of the book.
Lambda calculus. --- Combinatory logic. --- Logic, Combinatory --- Logic, Symbolic and mathematical --- Nonclassical mathematical logic --- Calculus, Lambda
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Mathematical logic --- Discrete mathematics --- Combinatory logic --- Logique combinatoire --- 510.64 --- Logic, Combinatory --- Logic, Symbolic and mathematical --- Nonclassical mathematical logic --- Non-classical, formal systems of logic. Modal logic. Multiple-value logics. Syllogistics. Inductive logic. Probabilistic logic --- 510.64 Non-classical, formal systems of logic. Modal logic. Multiple-value logics. Syllogistics. Inductive logic. Probabilistic logic --- Logique mathématique
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Logic, Symbolic and mathematical --- Logique symbolique et mathématique --- Curry, Haskell B. --- Logic, symbolic and mathematical --- Curry, Haskell Brooks, --- 510.6 --- Cornea --- -Cornea --- -Logic, Symbolic and mathematical --- -Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Anterior segment (Eye) --- Congresses --- Diseases --- -Congresses --- Surgery --- Addresses, essays, lectures --- Logic, Symbolic and mathematical. --- -Mathematical logic --- 510.6 Mathematical logic --- -510.6 Mathematical logic --- Algebra of logic --- Logique symbolique et mathématique --- Curry, H. B. --- Karri, Khaskell B. --- Curry, Haskell Brooks --- Logique mathématique --- Logique mathématique --- Curry, Haskell Brooks, - 1900-1982 --- Logique générale --- Logique combinatoire --- Lambda-calculus
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Provability, Computability and Reflection
Mathematical logic --- Combinatory logic. --- Logic, Symbolic and mathematical. --- Combinatory logic --- Logique combinatoire --- ELSEVIER-B EPUB-LIV-FT --- Logique mathématique
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