Skip to main content
    • Aa
    • Aa

Wtt-degrees and T-degrees of r.e. sets

  • Michael Stob (a1)

We use some simple facts about the wtt-degrees of r.e. sets together with a construction to answer some questions concerning the join and meet operators in the r.e. degrees. The construction is that of an r.e. Turing degree a with just one wtt-degree in a such that a is the join of a minimal pair of r.e. degrees. We hope to illustrate the usefulness of studying the stronger reducibility orderings of r.e. sets for providing information about Turing reducibility.

Corresponding author
Calvin College, Grand Rapids, Michigan 49506
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

L. Harrington and S. Shelah [1982], The undecidability of the recursively enumerable degrees, Bulletin (New Series) of the American Mathematical Society, vol. 6, pp. 7980.

C.G. Jockusch Jr. [1972], Degrees in which the recursive sets are uniformly recursive, Canadian Journal of Mathematics, vol. 24, pp. 10921099.

S. Kallibekov [1971], Index sets and degrees of unsolvability, Algebra i Logika, vol. 10, pp. 316326. (Russian)

A.H. Lachlan [1972], Embedding nondistributive lattices in the recursively enumerable degrees, Conference in Mathematical Logic—London '70, Lecture Notes in Mathematics, vol. 255, Springer-Verlag, Berlin, pp. 149177.

A.H. Lachlan [1975], A recursively enumerable degree which will not split over all lesser ones, Annals of Mathematical Logic, vol. 9, pp. 307365.

R.E. Ladner and L.P. Sasso [1975], The weak truth table degrees of recursively enumerable sets, Annals of Mathematical Logic, vol. 8, pp. 429448.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

The Journal of Symbolic Logic
  • ISSN: 0022-4812
  • EISSN: 1943-5886
  • URL: /core/journals/journal-of-symbolic-logic
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 1 *
Loading metrics...

Abstract views

Total abstract views: 24 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 28th April 2017. This data will be updated every 24 hours.