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Minimal weak truth table degrees and computably enumerable Turing degrees /

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 we...

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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Downey, R. G. (Rod G.) (Auteur), Ng, Keng Meng (Auteur), Solomon, Reed (Auteur)
Format: Électronique eBook
Langue:Inglés
Publié: Providence, RI : American Mathematical Society, [2020].
Collection:Memoirs of the American Mathematical Society ; no. 1284.
Sujets:
Accès en ligne:Texto completo
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Résumé: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, the.
Description:"May 2020" per title page.
Description matérielle:1 online resource (vii, 90 pages) : illustrations.
Bibliographie:Includes bibliographical references.
ISBN:9781470461379
1470461374
9781470461362
1470461366