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Some rapidly growing functions

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References

  • Herb Enderton, Elements of recursion theory, in: J. Barwise, ed.,Handbook of Mathematical Logic (North-Holland, Amsterdam 1977)

    Google Scholar 

  • Paul Erdös and George Mills, Some bounds for the Ramsey-Paris- Harrington numbers, to appear

  • Jussi Ketonen and Robert M. Solovay, Rapidly growing Ramsey functions, to appear

  • Martin H. Löb and Stan Wainer, Hierarchies of number-theoretic functions I, II, Archiv f. math. Logik 13 (1970), pp. 39–51, 97-113

    Article  MATH  Google Scholar 

  • Jeff Paris and Leo Harrington, A mathematical incompleteness in Peano arithmetic, in: J. Barwise, ed.,Handbook of Mathematical Logic (North-Holland, Amsterdam 1977)

    Google Scholar 

  • Frank P. Ramsey, On a problem of formal logic, Proc. London Math. Soc. (2) 30 (1929), pp. 264–286

    Google Scholar 

  • Tibor Rado, On non-computable functions, Bell System Tech. J. 41 (1962), pp. 877–884

    MathSciNet  Google Scholar 

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Smoryński, C. Some rapidly growing functions. The Mathematical Intelligencer 2, 149–154 (1980). https://doi.org/10.1007/BF03023057

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