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Type theory is one of the most important tools in the design of higher-level programming languages, such as ML. This book introduces and teaches its techniques by focusing on one particularly neat system and studying it in detail. In this way, all the key ideas are covered without getting involved in the complications of more advanced systems, but concentrating rather on the principles that make the theory work in practice. This book takes a type-assignment approach to type theory, and the system considered is the simplest polymorphic one. The author covers all the basic ideas, including the system's relation to propositional logic, and gives a careful treatment of the type-checking algorithm which lies at the heart of every such system. Also featured are two other interesting algorithms that have been buried in inaccessible technical literature. The mathematical presentation is rigorous but clear, making the book at a level which can be used as an introduction to type theory for computer scientists.

Programming languages (Electronic computers) --- Type theory.

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This book constitutes the refereed proceedings of the Third International Conference on Typed Lambda Calculi and Applications, TLCA '97, held in Nancy, France, in April 1997. The 24 revised full papers presented in the book were carefully selected from a total of 54 submissions. The book reports the main research advances achieved in the area of typed lambda calculi since the predecessor conference, held in 1995, and competently reflects the state of the art in the area.

Lambda calculus --- Congresses. --- Mathematical Theory --- Mathematics --- Physical Sciences & Mathematics --- Congresses --- Calculus, Lambda --- Computer science. --- Computer programming. --- Computers. --- Computer logic. --- Mathematical logic. --- Computer Science. --- Theory of Computation. --- Mathematical Logic and Formal Languages. --- Logics and Meanings of Programs. --- Programming Techniques. --- Mathematical Logic and Foundations. --- Information theory. --- Logic design. --- Logic, Symbolic and mathematical. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Design, Logic --- Design of logic systems --- Digital electronics --- Electronic circuit design --- Logic circuits --- Machine theory --- Switching theory --- Communication theory --- Communication --- Cybernetics --- Informatics --- Science --- Computers --- Electronic computer programming --- Electronic data processing --- Electronic digital computers --- Programming (Electronic computers) --- Coding theory --- Computer science logic --- Logic, Symbolic and mathematical --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Calculators --- Cyberspace --- Programming --- Lambda calculus - Congresses

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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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Provability, Computability and Reflection

Mathematical logic --- Combinatory logic. --- Logic, Symbolic and mathematical. --- Combinatory logic --- Logique combinatoire --- ELSEVIER-B EPUB-LIV-FT --- Logique mathématique