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Number theoretic concepts and recursive well-orderings

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References

  1. D. Hilbert and P. Bernays, Grundlagen der Mathematik, vol. 2, Berlin, 1939.

  2. S. C. Kleene, Introduction to Metamathematics, New York, Toronto, Amsterdam and Groningen, 1952.

  3. S. C. Kleene, On the forms of the predicates in the theory of constructive ordinals, Amer. J. of Math., vol. 66 (1944), pp. 41–58 and vol. 77 (1955), pp. 405–428.

    Google Scholar 

  4. S. W. Markwald, Zur Theorie der konstruktiven Wohlordnungen, Math. Ann., vol. 127 (1954), pp. 135–149.

    Google Scholar 

  5. J. Shoenfield, The class of recursive functions, Proc. Amer. Math. Soc., vol. 9 (1958), pp. 690–692.

    Google Scholar 

  6. C. Spector, Recursive well-orderings, J. of Symb. Log., vol. 20 (1955), pp. 151–163.

    Google Scholar 

  7. C. Spector, Strongly invariant hierarchies, Abstract, Notices of Amer. Math. Soc., vol. 5 (1958), p. 851.

    Google Scholar 

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Kreisel, G., Shoenfield, J. & Wang, H. Number theoretic concepts and recursive well-orderings. Arch math Logik 5, 42–64 (1960). https://doi.org/10.1007/BF01977642

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