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Two orderings of the class of all countable models of peano arithmetic

  • Petr Hájek
  • Pavel Pudlák
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 834)

Keywords

Free Variable Initial Segment Countable Model Completeness Theorem Peano Arithmetic 
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References

  1. [1]
    H. Friedman, Countable models of set theories, in Proc. Cambridge Summer School in Logic, Matthias and Rogers eds., Lecture Notes in Mathematics vol. 337, p. 539–573.Google Scholar
  2. [2]
    D. Guaspari, Partially conservative extensions of arithmetic, Transactions of the AMS.Google Scholar
  3. [3]
    L.A.S. Kirby, Initial segments of models of arithmetic, thesis, Manchester Univ. 1977.Google Scholar
  4. [4]
    L.A.S. Kirby, and J.B. Paris, Initial segments of models of Peano’s axioms.Google Scholar
  5. [5]
    R. Murawski: thesis, Warsaw University 1978.Google Scholar
  6. [6]
    C. Smoryński, Recursively Saturated Nonstandard Models of Arithmetic.Google Scholar
  7. [7]
    K. McAloon, Diagonal methods and strong cuts in models of arithmetic, in Logic Colloquium 77, eds. A. Macintyre, L. Pacholski, J. Paris, p. 171–182.Google Scholar
  8. [8]
    L. Kirby, K. McAloon, R. Murawski: Indicators, recursive saturation and expandability, Fund. Math. (to appear).Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Petr Hájek
    • 1
  • Pavel Pudlák
    • 1
  1. 1.Mathematical Institute of the CzechoslovakAcademy of SciencesPragueCzechoslovakia

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