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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Minimal degrees which are $\Sigma _{2}^{0}$ but not $\Delta _{2}^{0}$
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by Richard A. Shore PDF
Proc. Amer. Math. Soc. 132 (2004), 563-565 Request permission

Abstract:

We give a short proof of the existence of minimal Turing degrees which are $\Sigma _{2}^{0}$ but not $\Delta _{2}^{0}$.
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Additional Information
  • Richard A. Shore
  • Affiliation: Department of Mathematics, Cornell University, Ithaca, New York 14853
  • MR Author ID: 161135
  • Email: shore@math.cornell.edu
  • Received by editor(s): August 19, 2002
  • Received by editor(s) in revised form: October 8, 2002
  • Published electronically: June 17, 2003
  • Additional Notes: This research was partially supported by NSF Grant DMS-0100035
  • Communicated by: Carl G. Jockusch, Jr.
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 563-565
  • MSC (2000): Primary 03D28
  • DOI: https://doi.org/10.1090/S0002-9939-03-07080-1
  • MathSciNet review: 2022382