Lambda Calculus. Its Syntax and Semantics

Автор: Henk Barendregt

Език:

Корици: С меки корици

Издател: College Publications

Наличност: Външен склад

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The Lambda Calculus, treated in this book mainly in its untyped version, consists of a collection of...

Информация за книгата

Автор

Henk Barendregt

Език

Английски език

Корици

Книга - С меки корици

Издадена

2012

страници

656

EAN

9781848900660

ISBN

184890066X

Enbook ID

05190325

Издател

College Publications

Теглоt

956

Размери

226 x 158 x 36

Пълно описание

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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Lambda Calculus. Its Syntax and Semantics

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