Bibframe Work
TitleMinimal weak truth table degrees and computably enumerable Turing degreesTypeTextMonographMultimediaClassificationLCC: QA9.63 (Assigner: dlc) (Status: used by assigner)DDC: 511.3/5 full (Assigner: dlc)(Source: 23) 03D25 (Source: msc) 03D28 (Source: msc) 03D30 (Source: msc) Supplementary Contentbibliography Summary"Two of the central concepts for the study of degree structures in computability theory are computably enumerable degrees and minimal degrees. For strong notions of reducibility, such as m-deducibility or truth table reducibility, it is possible for computably enumerable degrees to be minimal. For weaker notions of reducibility, such as weak truth table reducibility or Turing reducibility, it is not possible to combine these properties in a single degree. We consider how minimal weak truth table degrees interact with computably enumerable Turing degrees and obtain three main results. First, there are sets with minimal weak truth table degree which bound noncomputable computably enumerable sets under Turing reducibility. Second, no set with computable enumerable Turing degree can have minimal weak truth table degree. Third, no Δ02 set which Turing bounds a promptly simple set can have minimal weak truth table degree"-- Provided by publisher.Table Of ContentsInformal construction
Formal construction
Limiting results.
Authorized Access PointDowney, R. G. (Rod G.) Minimal weak truth table degrees and computably enumerable Turing degrees