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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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Combinatorische logica --- Combinatory logic --- Logic [Combinatory] --- Logique combinatoire --- Semantics --- Semantics (Philosophy) --- Semantiek --- Semantiek (Filosofie) --- Sémantique --- Sémantique (Philosophie) --- Sémasiologie --- Neo-Kantianism --- Philosophy, German --- -Semantics --- Intension (Philosophy) --- Logical semantics --- Semantics (Logic) --- Semeiotics --- Significs --- Syntactics --- Unified science --- Language and languages --- Logic, Symbolic and mathematical --- Logical positivism --- Meaning (Psychology) --- Philosophy, Modern --- Semiotics --- Signs and symbols --- Symbolism --- Analysis (Philosophy) --- Definition (Philosophy) --- Formal semantics --- Semasiology --- Semiology (Semantics) --- Comparative linguistics --- Information theory --- Lexicology --- German philosophy --- Idealism --- Transcendentalism --- Baden school of philosophy --- Marburg school of philosophy --- Logic, Combinatory --- Nonclassical mathematical logic --- Combinatory logic. --- Neo-Kantianism. --- Semantics. --- Historische en vergelijkende pedagogiek --- Semantics (Philosophy). --- Historische en vergelijkende pedagogiek.

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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 --- Algebra of logic --- Logic, Universal --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Logic, Combinatory --- Logic, Symbolic and mathematical --- Nonclassical mathematical logic --- Logique mathématique

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Programming --- Mathematical logic --- Recursive programming --- Combinatory logic --- Programmation récursive --- Logique combinatoire --- 681.3*D1 --- 681.3*D22 --- Logic, Combinatory --- Logic, Symbolic and mathematical --- Nonclassical mathematical logic --- Linear programming --- Programming techniques--See also {681.3*E} --- Tools and techniques: decision tables; flow charts; modules and interfaces; programmer workbench; software libraries; structured programming; top-down programming; user interfaces (Software engineering) --- Combinatory logic. --- Recursive programming. --- 681.3*D22 Tools and techniques: decision tables; flow charts; modules and interfaces; programmer workbench; software libraries; structured programming; top-down programming; user interfaces (Software engineering) --- 681.3*D1 Programming techniques--See also {681.3*E} --- Langages de programmation

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Mathematical logic --- Discrete mathematics --- Mathematical logic: computability theory computational logic lambda calculus logic programming mechanical theorem proving model theory proof theoryrecursive function theory--See also {681.3*F11} {681.3*I22} {681.3*I23} --- 681.3*F41 Mathematical logic: computability theory computational logic lambda calculus logic programming mechanical theorem proving model theory proof theoryrecursive function theory--See also {681.3*F11} {681.3*I22} {681.3*I23} --- Combinatory logic --- Lambda calculus --- #KVIV --- 681.3*F41 --- Calculus, Lambda --- Logic, Symbolic and mathematical --- Logic, Combinatory --- Nonclassical mathematical logic --- 681.3*F41 Mathematical logic: computability theory; computational logic; lambda calculus; logic programming; mechanical theorem proving; model theory; proof theory;recursive function theory--See also {681.3*F11}; {681.3*I22}; {681.3*I23} --- Mathematical logic: computability theory; computational logic; lambda calculus; logic programming; mechanical theorem proving; model theory; proof theory;recursive function theory--See also {681.3*F11}; {681.3*I22}; {681.3*I23} --- Combinatory logic. --- Lambda calculus. --- Logique mathématique --- Logique générale --- Logique combinatoire --- Lambda-calculus