Lambda-Calculus and Combinators: An Introduction (2nd Revised edition)

Lambda-Calculus and Combinators: An Introduction (2nd Revised edition)

By: J. Roger Hindley (author), Jonathan P. Seldin (author)Hardback

1 - 2 weeks availability

£45.90 RRP £51.00  You save £5.10 (10%) With FREE Saver Delivery

Description

Combinatory logic and lambda-calculus, originally devised in the 1920s, have since developed into linguistic tools, especially useful in programming languages. The authors' previous book served as the main reference for introductory courses on lambda-calculus for over 20 years: this version is thoroughly revised and offers an account of the subject with the same authoritative exposition. The grammar and basic properties of both combinatory logic and lambda-calculus are discussed, followed by an introduction to type-theory. Typed and untyped versions of the systems, and their differences, are covered. Lambda-calculus models, which lie behind much of the semantics of programming languages, are also explained in depth. The treatment is as non-technical as possible, with the main ideas emphasized and illustrated by examples. Many exercises are included, from routine to advanced, with solutions to most at the end of the book.

Create a review

About Author

J. Roger Hindley is an Honorary Research Fellow at Swansea University, Wales. His main research interests are Lambda-calculus and combinatory logic and he has taught at many international universities including Bristol University, Pennsylvania State University and Tokyo Institute of technology. This is his 7th book. Jonathan P. Seldin is a Professor in the Department of Mathematics and Computer Science at the University of Lethbridge in Alberta, Canada.

Contents

Preface; 1. The lambda-calculus; 2. Combinatory logic; 3. The power of lambda and CL; 4. Computable functions; 5. Undecidability; 6. Formal theories; 7. Extensionality in lambda-calculus; 8. Extensionality in CL; 9. Correspondence between lambda and CL; 10. Simple typing, Church-style; 11. Simple typing, Curry-style in CL; 12. Simple typing, Curry-style in lambda; 13. Generalizations of typing; 14. Models of CL; 15. Models of lambda; 16. Scott's D and other models; Appendix 1. alpha-conversion; Appendix 2. Confluence proofs; Appendix 3. Normalization proofs; Appendix 4. Care of your pet combinator; Appendix 5. Answers to starred exercises; Bibliography; Index.

Product Details

  • publication date: 24/07/2008
  • ISBN13: 9780521898850
  • Format: Hardback
  • Number Of Pages: 358
  • ID: 9780521898850
  • weight: 700
  • ISBN10: 0521898854
  • edition: 2nd Revised edition

Delivery Information

  • Saver Delivery: Yes
  • 1st Class Delivery: Yes
  • Courier Delivery: Yes
  • Store Delivery: Yes

Prices are for internet purchases only. Prices and availability in WHSmith Stores may vary significantly

Close