The Parametric Lambda Calculus: A Metamodel for Computation / Edition 1

The Parametric Lambda Calculus: A Metamodel for Computation / Edition 1

by Simona Ronchi Della Rocca, Luca Paolini
     
 

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

See more details below

Overview

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.

Read More

Product Details

ISBN-13:
9783642057465
Publisher:
Springer Berlin Heidelberg
Publication date:
12/03/2010
Series:
Texts in Theoretical Computer Science. An EATCS Series
Edition description:
Softcover reprint of hardcover 1st ed. 2004
Pages:
248
Product dimensions:
0.57(w) x 9.21(h) x 6.14(d)

Table of Contents

I. Syntax.- 1. The Parametric ?-Calculus.- 2. The Call-by-Name ?-Calculus.- 3. The Call-by-Value ?-Calculus.- 4. Further Reading.- II. Operational Semantics.- 5. Parametric Operational Semantics.- 6. Call-by-Name Operational Semantics.- 7. Call-by-Value Operational Semantics.- 8. Operational Extensionality.- 9. Further Reading.- III. Denotational Semantics.- 10. ??-Models.- 11. Call-by-Name Denotational Semantics.- 12. Call-by-Value Denotational Semantics.- 13. Filter ??-Models and Domains.- 14. Further Reading.- IV. Computational Power.- 15. Preliminaries.- 16. Representing Functions.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >