Skip to main content

Recursion and complexity theory on CPO-S

  • Conference paper
  • First Online:
Theoretical Computer Science

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 104))

  • 103 Accesses

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D. Scott, Outline of a mathematical theory of computation, Technical Monograph PRG-2, Nov. 1970, Oxford University Computing Laboratory.

    Google Scholar 

  2. H. Egli, R.L. Constable, Computability concepts for programming language semantics, Theoretical Computer Science 2 (1976) 133–145.

    Article  Google Scholar 

  3. M.B. Smyth, Effectively given domains, Theoretical Computer Science 5 (1977) 257–274.

    Article  Google Scholar 

  4. A. Kanda, D. Park, When are two effectively given domains identical, in: K. Weihrauch (Hrsg.), Theoretical Computer Science 4th GI-Conference, S. 170–181, Springer, Berlin 1979.

    Google Scholar 

  5. E. Sciore, A. Tang, Admissible coherent c.p.o.'s, in: Automata, Languages and Programming, 5th Colloquium, 1978, Lecture notes in Computer Science 62, Springer, Berlin 1978.

    Google Scholar 

  6. M. Blum, A machine-independent theory of the complexity of recursive functions, J. ACM 14 (1967) 322–336.

    Article  Google Scholar 

  7. H. Rogers, Gödel numberings of partial recursive functions, Journal of Symbolic Logic 23 (1958) 331–341.

    Google Scholar 

  8. U. Schreiber, K. Weihrauch, Embedding metric spaces into cpo-s, to appear in Theoretical Computer Science.

    Google Scholar 

  9. H. Rogers, Theory of recursive functions and effective computability, McGraw-Hill, New York 1967.

    Google Scholar 

  10. J.L. Ersov, Theorie der Numerierungen I, Zeitschr. f. math. Logik und Grundlagen d. Math. 19 (1973) 289–388.

    Google Scholar 

  11. K. Weihrauch, T. Deil, Berechenbarkeit auf cpo-s, Informatik Berichte, RWTH Aachen, 1980 (to appear).

    Google Scholar 

  12. O. Aberth, Computable Analysis, McGraw-Hill, New York, 1980.

    Google Scholar 

  13. K. Weihrauch, Rekursionstheorie und Komplexitätstheorie auf effektiven cpo-s, Informatik-Berichte Nr. 9, Fernuniversität Hagen, 1980.

    Google Scholar 

  14. A. Borodin, Complexity classes of recursive functions and the existence of complexity gaps, Conf. Rec. ACM Symp. on Theory of Computing (1969) 67–78.

    Google Scholar 

  15. E. Specker, Nicht konstruktiv beweisbare Sätze der Analysis, J. Symbolic Logic 14 (1949) 145–158.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Peter Deussen

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Weihrauch, K. (1981). Recursion and complexity theory on CPO-S. In: Deussen, P. (eds) Theoretical Computer Science. Lecture Notes in Computer Science, vol 104. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0017311

Download citation

  • DOI: https://doi.org/10.1007/BFb0017311

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10576-3

  • Online ISBN: 978-3-540-38561-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics