The degrees of bi-hyperhyperimmune sets

نویسندگان

  • Uri Andrews
  • Peter Gerdes
  • Joseph S. Miller
چکیده

We study the degrees of bi-hyperhyperimmune (bi-hhi) sets. Our main result characterizes these degrees as those that compute a function that is not dominated by any ∆2 function, and equivalently, those that compute a weak 2-generic. These characterizations imply that the collection of bi-hhi Turing degrees is closed upwards.

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عنوان ژورنال:
  • Ann. Pure Appl. Logic

دوره 165  شماره 

صفحات  -

تاریخ انتشار 2014