Volume 40. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. Book contains pen markings. In poor condition, suitable as a reading copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,1050grams, ISBN:9781848900660.

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Bibliographic Details

Title

The Lambda Calculus, Its Syntax and Semantics (Studies in Logic) (Volume 40)

Publisher

College Publications

Publication Date

2012

Language

English

ISBN 10

184890066X

ISBN 13

9781848900660

Binding

Soft cover

Condition

Poor

Weight

1050 grams

Seller catalogs

Mathematics

About this title

Synopsis

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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