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Recursion Theory

$100.00 ( ) USD

Part of Lecture Notes in Logic

  • Date Published: March 2017
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9781316731611

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About the Authors
  • Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the first publication in the Lecture Notes in Logic series, Shoenfield gives a clear and focused introduction to recursion theory. The fundamental concept of recursion makes the idea of computability accessible to a mathematical analysis, thus forming one of the pillars on which modern computer science rests. This introduction is an ideal instrument for teaching and self-study that prepares the reader for the study of advanced monographs and the current literature on recursion theory.

    • Provides readers with a clear and focused introduction to recursion theory
    • Ideal for teaching and for self-study
    • Prepares the reader for the study of advanced monographs and current literature on the topic
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    Product details

    • Date Published: March 2017
    • format: Adobe eBook Reader
    • isbn: 9781316731611
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    1. Computability
    2. Functions and relations
    3. The basic machine
    4. Macros
    5. Closure properties
    6. Definitions of recursive functions
    7. Codes
    8. Indices
    9. Church's thesis
    10. Word problems
    11. Undecidable theories
    12. Relative recursion
    13. The arithmetical hierarchy
    14. recursively enumerable relations
    15. Degrees
    16. Evaluation of degrees
    17. Large RE sets
    18. Functions of reals
    19. The analytical hierarchy
    20. The projective hierarchy
    Suggestions for further reading
    Index.

  • Author

    Joseph R. Shoenfield, Duke University, North Carolina
    Joseph R. Shoenfield works in the Department of Mathematics at Duke University, North Carolina.

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