Skip to main content

A hierarchy of unary primitive recursive string-functions

  • Part III Communications
  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 464))

Abstract

Using a recent result of G.Asser, an extention of Ackermann-Peter hierarchy of unary primitive recursive functions to string-functions is obtained. The resulting hierarchy classifies the string-functions according to their lexicographical growth.

This is a preview of subscription content, log in via an institution.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. G. Asser. Rekursive Wortfunktionen Z.Math. Logik Grundlag.Math. 6(1960), 258–278.

    Google Scholar 

  2. G. Asser. Primitive recursive word-functions of one variable, in E.Borger (ed.), Computation Theory and Logic, LNCS 270, Springer 1987, 14–19.

    Google Scholar 

  3. G. Asser. Zur Robinson Charakterisierung der Einstelligen Primitiv Rekursiven Wortfunktionen, Z.Math.Logik Grundlag.Math., 34(1988), 317–322.

    Google Scholar 

  4. C. Calude. Theories of Computational Complexity, North-Holland, Amsterdam, New-York, Oxford, Tokio, 1988.

    Google Scholar 

  5. C.Calude, L.Santean. On a Theorem of Gunter Asser, Z.Math.Logik Grundlag.Math., 1990.

    Google Scholar 

  6. F.W. v.Henke, K. Indermark, G. Rose, K. Weichrauch. On Primitive Recursive Wordfunctions, Computing 15(1975), 217–234.

    Google Scholar 

  7. M.Tatarim. Darboux property and one-argument primitive recursive string-functions, Revue Roumaine des Mathematiques Pures et Appliques, 1987, 79–94.

    Google Scholar 

  8. K. Weichrauch. Teilklassen primitiv-rekursiver Wortfunktionen, Berichte der GMD 91(1974), 1–49.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Jürgen Dassow Jozef Kelemen

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Santean, L. (1990). A hierarchy of unary primitive recursive string-functions. In: Dassow, J., Kelemen, J. (eds) Aspects and Prospects of Theoretical Computer Science. IMYCS 1990. Lecture Notes in Computer Science, vol 464. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53414-8_45

Download citation

  • DOI: https://doi.org/10.1007/3-540-53414-8_45

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53414-3

  • Online ISBN: 978-3-540-46869-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics