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Finite condensations of recursive linear orders

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Abstract

The complexity of aII 4 set of natural numbers is encoded into a linear order to show that the finite condensation of a recursive linear order can beII 2–II 1. A priority argument establishes the same result, and is extended to a complete classification of finite condensations iterated finitely many times.

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References

  1. J. G. Rosenstein,Linear Orderings, Academic Press, New York, 1982.

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  2. D. K. Roy,R.e. presented linear orders,Journal of Symbolic Logic 48 (1983), pp. 369–376.

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  3. D. K. Roy,Linear order types of nonrecursive presentability,Zeitschrift für mathematische Logik und Grundlagen der Matematik 31 (1985), pp. 495–501.

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  4. R. Watnick,A generalization of Tennenbaum's theorem,Journal of Symbolic Logic 49 (1984), pp. 563–569.

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Authors and Affiliations

  1. Department of Mathematics, Florida International University, 33199, Miami, Florida, USA

    Dev K. Roy & Richard Watnick

  2. Department of Mathematics, University of Connecticut, 06903, Stamford, Connecticut, USA

    Dev K. Roy & Richard Watnick

Authors
  1. Dev K. Roy
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  2. Richard Watnick
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Roy, D.K., Watnick, R. Finite condensations of recursive linear orders. Stud Logica 47, 311–317 (1988). https://doi.org/10.1007/BF00671562

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  • DOI: https://doi.org/10.1007/BF00671562

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