Logic of Programs 1983: Logics of Programs pp 341-359 | Cite as

Information systems, continuity and realizability

  • Charles McCarty
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 164)


Finite Subset Intuitionistic Logic Constructive Mathematics Consistency Theorem Cartesian Closed Category 
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Section 11: References

  1. [1]
    Beeson, M. Continuity in intutionistic set theories. Logic Colloquium '78 (1979)Google Scholar
  2. [2]
    Bishop, E. Foundations of Constructive Analysis. McGraw-Hill (1967)Google Scholar
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    Friedman, H. Some applications of Kleene's methods for intuitionistic systems. Cambridge Summer School in Mathematical Logic (1973). pp.113–170Google Scholar
  4. [4]
    Heyting, A. Mathematische Grundlagenforschung. Intuitionismus. Beweistheorie. Springer, Berlin (1934) iv+74 pp.Google Scholar
  5. [5]
    Kleene, S. C. On the interpretation of intuitionistic number theory. Journal of Symbolic Logic Volume 10 (1945) pp. 109–124Google Scholar
  6. [6]
    McCarty. D. C. D. Phil Thesis. Oxford University (1983)Google Scholar
  7. [7]
    Plotkin, G. D. Lectures on the theory of domains. manuscript.Google Scholar
  8. [8]
    Scott, D. S. Domains for denotational semantics. Proceedings of the ICALP '82 Lecture Notes in Computer Science 140 (1982)Google Scholar
  9. [9]
    Scott, D. S. Data types as lattices. SIAM Journal of Computing Volume 5 (1976) pp. 522–587Google Scholar
  10. [10]
    Scott, D.S. Lectures on a Mathematical Theory of Computation. Oxford University Computing Laboratory, Programming Research Group (1981) 148 pp.Google Scholar
  11. [11]
    Troelstra, A. S. Notions of realizability for intuitionistic arithmetic and intuitionistic arithmetic in all finite types. Proceedings of the Second Scandinavian Logic Symposium (1971) pp. 369–405Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • Charles McCarty
    • 1
  1. 1.Carnegie-Mellon UniversityPittsburgh

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