Lambda-Calculus and Combinators
eBook - PDF

Lambda-Calculus and Combinators

An Introduction

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Lambda-Calculus and Combinators

An Introduction

About this book

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.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Lambda-Calculus and Combinators by J. Roger Hindley,Jonathan P. Seldin in PDF and/or ePUB format, as well as other popular books in Computer Science & Programming Languages. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Title
  4. Copyright
  5. Contents
  6. Preface
  7. 1 The lambda-calculus
  8. 2 Combinatory logic
  9. 3 The power of lambda and combinators
  10. 4 Representing the computable functions
  11. 5 The undecidability theorem
  12. 6 The formal theories lamnda beta and CLw
  13. 7 Extensionality in lambda-calculus
  14. 8 Extensionality in combinatory logic
  15. 9 Correspondence between lambda and CL
  16. 10 Simple typing, Church-style
  17. 11 Simple typing, Curry-style in CL
  18. 12 Simple typing, Curry-style in lambda
  19. 13 Generalizations of typing
  20. 14 Models of CL
  21. 15 Models of lambda-calculus
  22. 16 Scott's D∞ and other models
  23. Appendix A1 Bound variables and alpha-conversion
  24. Appendix A2 Confluence proofs
  25. Appendix A3 Strong normalization proofs
  26. Appendix A4 Care of your pet combinator
  27. Appendix A5 Answers to starred exercises
  28. References
  29. List of symbols
  30. Index