Computably Enumerable Sets

  • Robert I. Soare
Chapter
Part of the Theory and Applications of Computability book series (THEOAPPLCOM)

Abstract

This chapter is intended to give the reader a more intuitive feeling for c.e. sets, their alternative characterizations, and their most useful static and dynamic properties. We also prove the Recursion Theorem 2.2.1 (Fixed Point Theorem), which will be a very useful tool, and we apply it to prove Myhill's Theorem 2.4.6 that all creative sets are computably isomorphic.

Keywords

Computable Function Winning Strategy Acceptable Numbering Recursion Theorem Partial Computable Function 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Robert I. Soare
    • 1
  1. 1.Department of MathematicsThe University of ChicagoChicagoUSA

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