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Subrecursive hierarchies via direct limits

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Computation and Proof Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1104))

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References

  1. E.A. Cichon and S.S. Wainer ‘The Slow-Growing and the Grzegorczyk Hierarchies', J. Symb. Logic 48 (1983) 399–408.

    Article  MathSciNet  MATH  Google Scholar 

  2. J-Y. Girard, ‘π 12 -Logic Part I', Annals. Math. Logic 21 (1981) 75–219.

    Article  MathSciNet  Google Scholar 

  3. H.R. Jervell, ‘Introducing Homogeneous Trees', Proc. Herbrand Symposium, Ed. J. Stern, North-Holland (1982).

    Google Scholar 

  4. M.H. Löb and S.S. Wainer, ‘Hierarchies of Number-Theoretic Functions I, II', Archiv. für math. Logik 13 (1970) 39–51, and 97–113.

    Article  MathSciNet  MATH  Google Scholar 

  5. D. Schmidt, ‘Built-Up Systems of Fundamental Sequences and Hierarchies of Number-Theoretic Functions', Archiv. für math. Logic 18 (1976) 47–53. Postcript 145–146.

    Article  MathSciNet  MATH  Google Scholar 

  6. H. Schwichtenberg, ‘Eine Klassifikation der ε0-rekursiven Funktionen', Zeitschrift für math. Logik 17 (1971) 61–74.

    MathSciNet  MATH  Google Scholar 

  7. S.S. Wainer, ‘A Classification of the Ordinal Recursive Functions’ Archiv. für math. Logik 13 (1970) 136–153.

    Article  MathSciNet  MATH  Google Scholar 

  8. S.S. Wainer, ‘The "Slow-Growing" π 12 Approach to Hierarchies', to appear in Proc. AMS Summer Research Inst. on Recursion Theory, 1982, Eds. A. Nerode and R.A. Shore.

    Google Scholar 

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Egon Börger Walter Oberschelp Michael M. Richter Brigitta Schinzel Wolfgang Thomas

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© 1984 Springer-Verlag

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Dennis-Jones, E.C., Wainer, S.S. (1984). Subrecursive hierarchies via direct limits. In: Börger, E., Oberschelp, W., Richter, M.M., Schinzel, B., Thomas, W. (eds) Computation and Proof Theory. Lecture Notes in Mathematics, vol 1104. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099482

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  • DOI: https://doi.org/10.1007/BFb0099482

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