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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Inductive definitions and computability
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by Thomas J. Grilliot PDF
Trans. Amer. Math. Soc. 158 (1971), 309-317 Request permission

Abstract:

Sets inductively defined with respect to ${\prod _0},{\Sigma _1}$, (nonmonotonic) ${\prod _1}$ and ${\Sigma _2}$ predicates are characterized in terms of the four chief notions of abstract recursion.
References
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 158 (1971), 309-317
  • MSC: Primary 02E15
  • DOI: https://doi.org/10.1090/S0002-9947-1971-0304141-5
  • MathSciNet review: 0304141