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Lambda-Calculus and Combinators : An Introduction - J. Roger Hindley

Lambda-Calculus and Combinators

An Introduction

By: J. Roger Hindley, Jonathan P. Seldin

eText | 24 July 2008 | Edition Number 2

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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 long-awaited new version is thoroughly revised and offers a fully up-to-date 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.
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Non-FictionMathematicsMathematical FoundationMathematical LogicComputing & I.T.Computer Programming & Software DevelopmentProgramming & Scripting LanguagesEducation

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