9781848900660-184890066X-The Lambda Calculus. Its Syntax and Semantics (Studies in Logic)

The Lambda Calculus. Its Syntax and Semantics (Studies in Logic)

ISBN-13: 9781848900660
ISBN-10: 184890066X
Author: Barendregt, Henk
Publication date: 2012
Publisher: College Publications
Format: Paperback 656 pages
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Book details

ISBN-13: 9781848900660
ISBN-10: 184890066X
Author: Barendregt, Henk
Publication date: 2012
Publisher: College Publications
Format: Paperback 656 pages

Summary

Acknowledged authors Barendregt, Henk wrote The Lambda Calculus. Its Syntax and Semantics (Studies in Logic) comprising 656 pages back in 2012. Textbook and eTextbook are published under ISBN 184890066X and 9781848900660. Since then The Lambda Calculus. Its Syntax and Semantics (Studies in Logic) textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

Description

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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