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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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Recursiveness in $P^1_1$ paths through $\mathcal {O}$
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by Harvey Friedman PDF
Proc. Amer. Math. Soc. 54 (1976), 311-315 Request permission

Abstract:

Kleene’s $\mathcal {O}$ is recursive in some $\Pi _1^1$ path through $\mathcal {O}$. If every hyp set is recursive in a given $\Pi _1^1$ set, then $\mathcal {O}$ is recursive in its triple jump.
References
Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 54 (1976), 311-315
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0398812-2
  • MathSciNet review: 0398812