The Parametric Lambda Calculus: A Metamodel for Computation

by Simona Ronchi Della Rocca, Luca Paolini

Overview

The book contains a completely new presentation of classical results in the field of Lambda Calculus, together with new results. The text is unique in that it presents a new calculus (Parametric Lambda Calculus) which can be instantiated to obtain already known lambda-calculi. Some properties, which in the literature have been proved separately for different calculi, can be proved once for the Parametric one. The lambda calculi are presented from a Computer Science point of view, with a particular emphasis on their semantics, both operational and denotational.

Product Details

ISBN-13:	9783540200321
Publisher:	Springer Berlin Heidelberg
Publication date:	11/18/2004
Series:	Texts in Theoretical Computer Science. An EATCS Series
Edition description:	2004
Pages:	248
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

About the Author

Simona Ronchi Della Rocca: Full Professor of Foundations of Computer Science since 1987, Member of the Editorial Board of TOCL (ACM Transactions on Computational Logic), Member of the Organizing Committee of LICS (Logic in Computer Science), Member of the Accademy of Sciences of Torino

Luca Paolini: PhD student in Computer Science and Discrete Mathematics, Università di Genova and Université de la Mediterranée.

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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.