J. Roger Hindley

Lambda-Calculus and Combinators (eBook, PDF)

An Introduction

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 24. Juli 2008
• Englisch
• ISBN-13: 9780511410963
• Artikelnr.: 38210413

Autorenporträt

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.

Inhaltsangabe

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