The Parametric Lambda Calculus: A Metamodel for Computation

Simona Ronchi Della Rocca, Luca Paolini

Springer Science & Business Media, Jul 5, 2004 - Mathematics - 248 pages

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.

Contents

• II: 3
• III: 25
• IV: 35
• V: 59
• VI: 61
• VII: 63
• VIII: 71
• IX: 87
• X: 93
• XI: 99
• XII: 101
• XIII: 103
• XIV: 117
• XV: 179
• XVI: 205
• XVII: 219
• XVIII: 221
• XIX: 223
• XX: 231

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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Bibliographic information

• Title: The Parametric Lambda Calculus: A Metamodel for Computation; Texts in Theoretical Computer Science. An EATCS Series
• Authors: Simona Ronchi Della Rocca, Luca Paolini
• Edition: illustrated
• Publisher: Springer Science & Business Media, 2004
• ISBN: 3540200320, 9783540200321
• Length: 248 pages
• Subjects: Computers / Intelligence (AI) & Semantics; Computers / Machine Theory; Computers / Programming / General; Computers / Programming Languages / General; Computers / User Interfaces; Mathematics / Discrete Mathematics; Mathematics / General; Mathematics / History & Philosophy; Mathematics / Logic