Computably Enumerable Sets and Quasi-Reducibility

نویسندگان

  • Rodney G. Downey
  • Geoffrey LaForte
  • André Nies
چکیده

We consider the computably enumerable sets under the relation of Qreducibility. We first give several results comparing the upper semilattice of c.e. Q-degrees, 〈RQ,≤Q 〉, under this reducibility with the more familiar structure of the c.e. Turing degrees. In our final section, we use coding methods to show that the elementary theory of 〈RQ,≤Q 〉 is undecidable.

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عنوان ژورنال:
  • Ann. Pure Appl. Logic

دوره 95  شماره 

صفحات  -

تاریخ انتشار 1998