Categorical Combinators, Sequential Algorithms, and Functional Programming

P.-L. Curien

ISBN 10: 0817636544 / ISBN 13: 9780817636548

Published by Birkhauser Boston Inc, 1993

About this Item

Ancien livre de bibliothèque. Edition 1993. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Very good. Former library book. Edition 1993. Ammareal gives back up to 15% of this item's net price to charity organizations.

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Bibliographic Details

• Title: Categorical Combinators, Sequential Algorithms, and Functional Programming
• Publisher: Birkhauser Boston Inc
• Publication Date: 1993
• Language: English
• ISBN 10: 0817636544
• ISBN 13: 9780817636548
• Binding: Hardcover
• Condition: Très bon

About this title

Synopsis

This book is a revised edition of the monograph which appeared under the same title in the series Research Notes in Theoretical Computer Science, Pit­ man, in 1986. In addition to a general effort to improve typography, English, and presentation, the main novelty of this second edition is the integration of some new material. Part of it is mine (mostly jointly with coauthors). Here is brief guide to these additions. I have augmented the account of categorical combinatory logic with a description of the confluence properties of rewriting systems of categor­ ical combinators (Hardin, Yokouchi), and of the newly developed cal­ culi of explicit substitutions (Abadi, Cardelli, Curien, Hardin, Levy, and Rios), which are similar in spirit to the categorical combinatory logic, but are closer to the syntax of A-calculus (Section 1.2). The study of the full abstraction problem for PCF and extensions of it has been enriched with a new full abstraction result: the model of sequential algorithms is fully abstract with respect to an extension of PCF with a control operator (Cartwright, Felleisen, Curien). An order­ extensional model of error-sensitive sequential algorithms is also fully abstract for a corresponding extension of PCF with a control operator and errors (Sections 2.6 and 4.1). I suggest that sequential algorithms lend themselves to a decomposition of the function spaces that leads to models of linear logic (Lamarche, Curien), and that connects sequentiality with games (Joyal, Blass, Abramsky) (Sections 2.1 and 2.6).