ENGLISH

The Parametric Lambda Calculus: A Metamodel for Computation

By Simona Ronchi Della Rocca , Luca Paolini

Book information

Publisher
Springer
Year
2004
ISBN
978-3-642-05746-5, 978-3-662-10394-4
DOI
10.1007/978-3-662-10394-4
Language
english
Format
PDF
Filesize
5 MB (4783714 bytes)
Series
Texts in Theoretical Computer Science. An EATCS Series
Pages
253\253
Topic
Mathematics Logic
Orientation
portrait
Paginated
yes
Scanned
yes
Time added
2013-08-01 04:00:00
CompilersInterpreters; Computation by Abstract Devices; LogMathematical Logic and Formal Languages; Programmi

Description

The parametric lambda calculus is a metamodel for reasoning about various kinds of computations. Its syntactic definition is based on the notion of "sets of input values", and different lambda calculi can be obtained from it by instantiating such sets in suitable ways. The parametric lambda calculus is used as a tool for presenting in a uniform way basic notions of programming languages, and for studying with a uniform approach some lambda calculi modeling different kinds of computations, such as call-by-name, both in its lazy and non-lazy versions, and call-by-value. The parametric presentation allows us both to prove in one step all the fundamental properties of different calculi, and to compare them with each other. The book includes some classical results in the field of lambda calculi, but completely rephrased using the parametric approach, together with some new results. The lambda calculi are presented from a computer science viewpoint, with particular emphasis on their semantics, both operational and denotational. This book is dedicated to researchers, and can be used as a textbook for masters or Ph.D. courses on the foundations of computer science.

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