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"Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. This gentle step-by-step introduction is ideal for graduate students and researchers who need to understand the ins and outs of the mathematical machinery, the role of logical rules therein, the essential contribution of definitions and the decisive nature of well-structured proofs. The authors begin with untyped lambda calculus and proceed to several fundamental type systems culminating in the well-known and powerful Calculus of Constructions. The book also covers the essence of proof checking and proof development, and the use of dependent type theory to formalize mathematics. The only prerequisites are a good knowledge of undergraduate algebra and analysis. Carefully chosen examples illustrate the theory throughout. Each chapter ends with a summary of the content, some historical context, suggestions for further reading and a selection of exercises to help readers familiarize themselves with the material"--
Type theory. --- Computers --- Programming Languages --- General. --- Théorie des types
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Logic, Symbolic and mathematical. --- Logique mathématique. --- Type theory. --- Théorie des types --- Logique generale --- Theorie des types --- Logique generale --- Theorie des types
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Logic --- Type theory --- Théorie des types --- Type Theory --- Logic, Symbolic and mathematical --- Type theory. --- Théorie des types
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Logic, Symbolic and mathematical --- Logique mathématique --- Type theory --- Théorie des types --- Logique mathématique --- Théorie des types
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Logica --- Logique --- Curry-Howard isomorphism --- Proof theory --- Lambda calculus --- Type Theory --- Type theory --- Isomorphisme de Curry-Howard --- Théorie de la démonstration --- Lambda-calcul --- Théorie des types --- Isomorphisme de Curry-Howard. --- Théorie de la démonstration. --- Lambda-calcul. --- Théorie des types. --- Théorie de la démonstration. --- Théorie des types.
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Mathematical linguistics --- Mathematical logic --- Grammar --- Grammar, Comparative and general --- Logic --- Semantics (Philosophy) --- Type theory --- Grammaire comparée et générale --- Logique --- Sémantique (Philosophie) --- Théorie des types --- Grammaire comparée et générale --- Sémantique (Philosophie) --- Théorie des types
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Functional programming (Computer science) --- Type theory --- Programmation fonctionnelle --- Théorie des types --- Type theory. --- Functional programming (Computer science). --- Théorie des types --- Computer science --- Informatique --- Programming. --- Programmation. --- Logique mathématique --- Logique mathématique
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Arithmetic --- Logic, symbolic and mathematical --- Number Theory --- Foundations --- 510.2 --- -Logic, Symbolic and mathematical --- Number theory --- Number study --- Numbers, Theory of --- Algebra --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Calculators --- Numbers, Real --- Foundations of mathematics --- Logic, Symbolic and mathematical. --- Number theory. --- Foundations. --- 510.2 Foundations of mathematics --- Arithmétique --- Fondements --- Logic, Symbolic and mathematical --- Logique mathématique --- Type theory --- Théorie des types --- Logique mathématique. --- Théorie des types. --- Fondements. --- Type theory. --- Théorie des types --- Nombres, Théorie des --- Arithmetic - Foundations --- Logique mathématique --- Fondements des mathematiques --- Logique des prédicats
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Mathematical logic --- Logic, Symbolic and mathematical --- Type theory --- Logique symbolique et mathématique --- Théorie des types --- Logic, symbolic and mathematical --- Type Theory --- Logique symbolique et mathématique --- Théorie des types --- Algebra of logic --- Logic, Universal --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Semantics --- Propositional Calculus --- Type --- Logic
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Dans ce livre, les auteurs, l'un anthropologue, l'autre psychiatre, font converger théorie des jeux, psychologie expérimentale, cybernétique pour élaborer une théorie de la communication
Psychiatry --- Mass communications --- Cybernetics --- Game theory --- Psychology, Experimental --- System theory --- Type theory --- Communication --- Communication in psychiatry --- Cybernétique --- Théorie des jeux --- Psychologie expérimentale --- Théorie des systèmes --- Théorie des types --- Communication en psychiatrie --- Social aspects --- Aspect social --- Social psychology --- Psychological aspects --- Cybernétique --- Théorie des jeux --- Psychologie expérimentale --- Théorie des systèmes --- Théorie des types --- Communication - Psychological aspects
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