Recursion Theory
eBook - PDF

Recursion Theory

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

Recursion Theory

About this book

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.

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Yes, you can access Recursion Theory by Joseph R. Shoenfield in PDF and/or ePUB format, as well as other popular books in Mathematics & Logic in Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Series information
  4. Title page
  5. Copyright information
  6. Introduction
  7. Table of contents
  8. 1. Computability
  9. 2. Functions and Relations
  10. 3. The Basic Machine
  11. 4. Macros
  12. 5. Closure Properties
  13. 6. Definitions of Recursive Functions
  14. 7. Codes
  15. 8. Indices
  16. 9. Church's Thesis
  17. 10. Word Problems
  18. 11. Undecidable Theories
  19. 12. Relative Recursion
  20. 13. The Arithmetical Hierarchy
  21. 14. Recursively Enumerable Relations
  22. 15. Degrees
  23. 16. Evaluation of Degrees
  24. 17. Large RE Sets
  25. 18. Function of Reals
  26. 19. The Analytical Hierarchy
  27. 20. The Projective Hierarchy
  28. Suggestions for Further Reading
  29. Index