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

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Model Theory of Algebra and Arithmetic

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 834))

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References

  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.

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  2. D. Guaspari, Partially conservative extensions of arithmetic, Transactions of the AMS.

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  3. L.A.S. Kirby, Initial segments of models of arithmetic, thesis, Manchester Univ. 1977.

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  4. L.A.S. Kirby, and J.B. Paris, Initial segments of models of Peano’s axioms.

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  5. R. Murawski: thesis, Warsaw University 1978.

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  6. C. Smoryński, Recursively Saturated Nonstandard Models of Arithmetic.

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  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.

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  8. L. Kirby, K. McAloon, R. Murawski: Indicators, recursive saturation and expandability, Fund. Math. (to appear).

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Authors and Affiliations

  1. Mathematical Institute of the Czechoslovak, Academy of Sciences, Prague, Czechoslovakia

    Petr Hájek & Pavel Pudlák

Authors
  1. Petr Hájek
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  2. Pavel Pudlák
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Leszek Pacholski Jedrzej Wierzejewski Alec J. Wilkie

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© 1980 Springer-Verlag

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Hájek, P., Pudlák, P. (1980). Two orderings of the class of all countable models of peano arithmetic. In: Pacholski, L., Wierzejewski, J., Wilkie, A.J. (eds) Model Theory of Algebra and Arithmetic. Lecture Notes in Mathematics, vol 834. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090166

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  • DOI: https://doi.org/10.1007/BFb0090166

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10269-4

  • Online ISBN: 978-3-540-38393-2

  • eBook Packages: Springer Book Archive

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