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The Lambda Calculus Its Syntax and Semantics

The Lambda Calculus Its Syntax and Semantics

The Lambda Calculus Its Syntax and Semantics
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The Lambda Calculus Its Syntax and Semantics Paperback - 2012

by Barendregt, Henk,

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  • Title The Lambda Calculus Its Syntax and Semantics
  • Author Barendregt, Henk,
  • Binding Paperback
  • Condition New
  • Pages 656
  • Volumes 1
  • Language ENG
  • Publisher College Publications, London
  • Publication date 2012-04-30
  • Bookseller's Inventory # 18731839
  • ISBN 9781848900660 / 184890066X
  • Weight 1.99 lbs (0.90 kg)
  • Dimensions 9.21 x 6.14 x 1.32 in (23.39 x 15.60 x 3.35 cm)
  • Themes
    • Aspects (Academic): Science/Technology Aspects
  • Category Computers - General Information
  • Dewey Decimal Code 511.3
  • Quantity available 5

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From the publisher

The Lambda Calculus, treated in this book mainly in its untyped version, consists of a collection of expressions, called lambda terms, together with ways how to rewrite and identify these. In the parts conversion, reduction, theories, and models the view is respectively 'algebraic', computational, with more ('coinductive') identifications, and finally set-theoretic. The lambda terms are built up from variables, using application and abstraction. Applying a term F to M has as intention that F is a function, M its argument, and FM the result of the application. This is only the intention: to actually obtain the result one has to rewrite the expression FM according to the reduction rules. Abstraction provides a way to create functions according to the effect when applying them. The power of the theory comes from the fact that computations, both terminating and infinite, can be expressed by lambda terms at a 'comfortable' level of abstraction.

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