Co-total Enumeration Degrees

  • Boris Solon
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3988)


This paper is dedicated to the study of the enumeration degrees which contain sets the complements of which are the graphs of some total functions. Such e-degrees are called co-total. That every total e-degree a0 e contains such total function f that \({\rm deg}_e(\overline{{\rm graph}(f)})\) is a quasi-minimal e-degree has been proved. Some known results of McEvoy and Gutteridge with the aid of co-total e-degrees become stronger as well.


Initial Segment Partial Function Computable Function Total Function Minimal Pair 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Boris Solon
    • 1
  1. 1.Department of MathematicsIvanovo State University of Chemistry and TechnologyRussia

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