Texts in Theoretical Computer Science. An EATCS Series, 1862-4499 [More in this series]
Summary note
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.
Notes
Bibliographic Level Mode of Issuance: Monograph
Bibliographic references
Includes bibliographical references and index.
Language note
English
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.
ISBN
3-662-10394-X
Doi
10.1007/978-3-662-10394-4
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