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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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$\textrm {CT}_{0}$ is stronger than $\textrm {CT}_{0}!$
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by Vladimir Lifschitz PDF
Proc. Amer. Math. Soc. 73 (1979), 101-106 Request permission

Abstract:

${\text {CT}_0}$! is the result of adding the uniqueness condition to the antecedent of ${\text {CT}_0}$. ${\mathbf {HA}} + {\text {CT}_0}$ is shown to be essentially stronger than ${\mathbf {HA}} + {\text {CT}_0}$!.
References
  • A. S. Troelstra, Intuitionistic formal systems, Metamathematical investigation of intuitionistic arithmetic and analysis, Lecture Notes in Mathematics, Vol. 344, Springer, Berlin, 1973, pp. 1–96. MR 0444439
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 73 (1979), 101-106
  • MSC: Primary 03F50; Secondary 03F55
  • DOI: https://doi.org/10.1090/S0002-9939-1979-0512067-X
  • MathSciNet review: 512067