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Recursion and complexity theory on CPO-S

  • Klaus Weihrauch
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 104)

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References

  1. [1]
    D. Scott, Outline of a mathematical theory of computation, Technical Monograph PRG-2, Nov. 1970, Oxford University Computing Laboratory.Google Scholar
  2. [2]
    H. Egli, R.L. Constable, Computability concepts for programming language semantics, Theoretical Computer Science 2 (1976) 133–145.CrossRefGoogle Scholar
  3. [3]
    M.B. Smyth, Effectively given domains, Theoretical Computer Science 5 (1977) 257–274.CrossRefGoogle Scholar
  4. [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. [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. [6]
    M. Blum, A machine-independent theory of the complexity of recursive functions, J. ACM 14 (1967) 322–336.CrossRefGoogle Scholar
  7. [7]
    H. Rogers, Gödel numberings of partial recursive functions, Journal of Symbolic Logic 23 (1958) 331–341.Google Scholar
  8. [8]
    U. Schreiber, K. Weihrauch, Embedding metric spaces into cpo-s, to appear in Theoretical Computer Science.Google Scholar
  9. [9]
    H. Rogers, Theory of recursive functions and effective computability, McGraw-Hill, New York 1967.Google Scholar
  10. [10]
    J.L. Ersov, Theorie der Numerierungen I, Zeitschr. f. math. Logik und Grundlagen d. Math. 19 (1973) 289–388.Google Scholar
  11. [11]
    K. Weihrauch, T. Deil, Berechenbarkeit auf cpo-s, Informatik Berichte, RWTH Aachen, 1980 (to appear).Google Scholar
  12. [12]
    O. Aberth, Computable Analysis, McGraw-Hill, New York, 1980.Google Scholar
  13. [13]
    K. Weihrauch, Rekursionstheorie und Komplexitätstheorie auf effektiven cpo-s, Informatik-Berichte Nr. 9, Fernuniversität Hagen, 1980.Google Scholar
  14. [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. [15]
    E. Specker, Nicht konstruktiv beweisbare Sätze der Analysis, J. Symbolic Logic 14 (1949) 145–158.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1981

Authors and Affiliations

  • Klaus Weihrauch
    • 1
  1. 1.Fernuniversität Gesamthochschule Fachbereich Mathematik Lehrgebiet Informatik Theoretische InformatikHagen 1

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