The Finite Injury Method

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


A positive solution to Post’s problem was finally achieved by Friedberg in [Friedberg 1957] and independently by Muchnik in [Muchnik 1956], who built c.e. sets A and B of incomparable (Turing) degree. Friedberg then produced other results on c.e. sets in [Friedberg 1957b], [Friedberg 1957c] and [Friedberg 1958].


Basic Module Computable Function Computable Enumeration Computable Sequence Priority Requirement 
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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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