More Lachlan Games

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


With the Kleene-Post [1954] paper on oracle constructions presented in Chapter  6, and the finite injury computable approximations to them in Friedberg [1957] and Muchnik [1956] presented in Chapter  7, constructions in computability entered a new and much more complicated phase in the 1960s. Shoenfield [1961] and independently Sacks [1963a, 1963c, and 1964a] invented the infinite injury method for constructing c.e. sets and degrees.


Computability Theory Winning Strategy Measurable Cardinal Minimal Pair Game Theory Model 
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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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