An Introduction to Lambda Calculi for Computer Scientists

C. Hankin

ISBN 10: 0954300653 / ISBN 13: 9780954300654

Published by College Publications, 2004

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering - The lambda-calculus lies at the very foundations of computerscience. Besides its historical role in computability theory it hashad significant influence on programming language design andimplementation, denotational semantics, and domain theory. The bookemphasises the proof theory for the type-free lambda-calculus. Thefirst six chapters concern this calculus and cover the basic theory,reduction, models, computability, and the relationship between thelambda-calculus and combinatory logic. Chapter 7 presents a varietyof typed calculi; first the simply typed lambda-calculus, thenMilner-style polymorphism and, finally, the polymorphiclambda-calculus. Chapter 8 concerns two variants of the type-freelambda-calculus that have appeared in the research literature: thelazy lambda-calculus, and the lambda sigma-calculus. The finalchapter contains references and a guide to further reading. There areexercises throughout. In contrast to earlier books on these topics,which were written by logicians, this book is written from a computerscience perspective and emphasises the practical relevance of many ofthe key theoretical ideas. The book is intended as a course text forfinal year undergraduates or first year graduate students in computerscience. Research students should find it a useful introduction tomore specialist literature.

Seller Inventory # 9780954300654

Bibliographic Details

• Title: An Introduction to Lambda Calculi for Computer Scientists
• Publisher: College Publications
• Publication Date: 2004
• Language: English
• ISBN 10: 0954300653
• ISBN 13: 9780954300654
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 229W x 152H x 11D millimeters 229 millimeters width by 152 millimeters height by 11 millimeters depth
• Weight: 270 grams

About this title

Synopsis

The lambda-calculus lies at the very foundations of computer science. Besides its historical role in computability theory it has had significant influence on programming language design and implementation, denotational semantics, and domain theory. The book emphasises the proof theory for the type-free lambda-calculus. The first six chapters concern this calculus and cover the basic theory, reduction, models, computability, and the relationship between the lambda-calculus and combinatory logic. Chapter 7 presents a variety of typed calculi; first the simply typed lambda-calculus, then Milner-style polymorphism and, finally, the polymorphic lambda-calculus. Chapter 8 concerns two variants of the type-free lambda-calculus that have appeared in the research literature: the lazy lambda-calculus, and the lambda sigma-calculus. The final chapter contains references and a guide to further reading. There are exercises throughout. In contrast to earlier books on these topics, which were written by logicians, this book is written from a computer science perspective and emphasises the practical relevance of many of the key theoretical ideas. The book is intended as a course text for final year undergraduates or first year graduate students in computer science. Research students should find it a useful introduction to more specialist literature.