Research Catalog

Lambda calculi : a guide for the perplexed

Title
Lambda calculi : a guide for the perplexed / Chris Hankin.
Author
Hankin, Chris.
Publication
Oxford [England] : Clarendon Press ; New York : Oxford University Press, 1994.

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StatusFormatAccessCall NumberItem Location
TextUse in library QA9.5 .H36 1994Off-site

Details

Description
xiii, 162 pages; 25 cm.
Summary
"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 emphasizes 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 three variants of the type-free [lambda]-calculus that have recently appeared in the research literature: the lazy [lambda]-calculus, the concurrent [gamma]-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, the book is written from a computer science perspective and emphasizes 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."--Jacket
Series Statement
Graduate texts in computer science ; 3
Uniform Title
Graduate texts in computer science ; 3.
Subject
  • Lambda calculus
  • Lambda-calcul
Bibliography (note)
  • Includes bibliographical references (pages 157-158) and index.
Contents
1. Introduction -- 2. Notation and the Basic Theory -- 3. Reduction -- 4. Combinatory Logic -- 5. Semantics -- 6. Computability -- 7. Types -- 8. Practical Issues -- 9. Other Calculi -- 10. Further Reading.
ISBN
  • 0198538413
  • 9780198538417
  • 0198538405
  • 9780198538400
LCCN
94028188
OCLC
  • ocm30734611
  • 30734611
  • SCSB-9151933
Owning Institutions
Princeton University Library