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Computability and Logic

4th Edition

$28.00 ( ) USD

  • Date Published: February 2005
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9780511074950

$ 28.00 USD ( )
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About the Authors
  • Now in its fourth edition, this book has become a classic because of its accessibility to students without a mathematical background, and because it covers not only the staple topics of an intermediate logic course such as Godel's Incompleteness Theorems, but also a large number of optional topics from Turing's theory of computability to Ramsey's theorem. John Burgess has enhanced the book by adding a selection of problems at the end of each chapter.

    • More accessible than competitors (i.e. does not require mathematical background)
    • Covers staple topics for intermediate logic courses, but offers a large number of optional topics not available in competing books
    • Fourth edition has been reorganized to be easier to teach from. Now includes selections of problems at the end of each chapter
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    Reviews & endorsements

    "The writing style is excellent: although many explanations are formal, they are perfectly clear. Modern, elegant proofs help the reader understand the classic theorems and keep the book to a reasonable length." Computing Reviews

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    Product details

    • Edition: 4th Edition
    • Date Published: February 2005
    • format: Adobe eBook Reader
    • isbn: 9780511074950
    • contains: 55 b/w illus.
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Part I. Computability Theory:
    1. Enumerability
    2. Diagonalization
    3. Turing computability
    4. Uncomputability
    5. Abacus computability
    6. Recursive functions
    7. Recursive sets and relations
    8. Equivalent definitions of computability
    Part II. Basic Metalogic:
    9. A precis of first-order logic: syntax
    10. A precis of first-order logic: semantics
    11. The undecidability of first-order logic
    12. Models
    13. The existence of models
    14. Proofs and completeness
    15. Arithmetization
    16. Representability of recursive functions
    17. Indefinability, undecidability, incompleteness
    18. The unprovability of consistency
    Further topics:
    19. Normal forms
    20. The Craig interpolation theorem
    21. Monadic and dyadic logic
    22. Second-order logic
    23. Arithmetical definability
    24. Decidability of arithmetic without multiplication
    25. Non-standard models
    26. Ramsey's theorem
    27. Modal logic and provability.

  • Authors

    George S. Boolos, Massachusetts Institute of Technology

    John P. Burgess, Princeton University, New Jersey

    Richard C. Jeffrey, Princeton University, New Jersey

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