LOW UPPER BOUNDS OF IDEALS.

We show that there is a low T-upper bound for the class of K-trivial sets, namely those which are weak from the point of view of algorithmic randomness. This result is a special case of a more general characterization of ideals in Δ T-degrees for which there is slow T-upper bound.

Detalles Bibliográficos
Publicado en:Journal of Symbolic Logic Vol. 74; no. 2; pp. 517 - 535
Autores principales: KUČERA, ANTONÍN, SLAMAN, THEODORE A.
Formato: Artículo
Publicado: Cambridge University Press Jun2009
Materias:
Acceso en línea:Ver este registro en EBSCOhost
fields @attributes:
  recordID: 1
pdfLink:
plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=40309920&site=ehost-live
header:
  @attributes:
    shortDbName: hlh
    uiTerm: 40309920
    longDbName: Humanities International Complete
    uiTag: AN
  controlInfo:
    bkinfo:
    jinfo:
      jid:
        00224812
        3TY
      jtl: Journal of Symbolic Logic
      issn: 00224812
      maglogo: N
    pubinfo:
      dt: Jun2009
      vid: 74
      iid: 2
      pid: 15979
      pub: Cambridge University Press
    artinfo:
      ui: 40309920
      ppf: 517
      ppct: 18
      formats:
      tig:
        atl: LOW UPPER BOUNDS OF IDEALS.
      aug:
        au:
          KUČERA, ANTONÍN
          SLAMAN, THEODORE A.
        affil:
          CHARLES UNIVERSITY, FACULTY OF MATHEMATICS AND PHYSICS, DEPARTMENT OF THEORETICAL COMPUTER SCIENCE, AND MATHEMATICAL LOGIC, MALOSTRANSKÉ NÁM, 25, 11800 PRAHA I. CZECH REPUBLIC.
          UNIVERSITY OF CALIFORNIA, BERKELEY, DEPARTMENT OF MATHEMATICS, BERKELEY, CA 94720-3840 USA.
      su:
        Mathematical logic
        Set theory
        Ideals (Algebra)
        Recursion theory
        Tree graphs
      sug:
        subj:
          Mathematical logic
          Set theory
          Ideals (Algebra)
          Recursion theory
          Tree graphs
      ab: We show that there is a low T-upper bound for the class of K-trivial sets, namely those which are weak from the point of view of algorithmic randomness. This result is a special case of a more general characterization of ideals in Δ T-degrees for which there is slow T-upper bound.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
    refInfo:
    copyright:
      @attributes:
        flag: Y
      dt:
        @attributes:
          year: 2009
    holdings:
      @attributes:
        islocal: N