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Calculating Maximal Order Types for Finite Rooted Unstructured Labeled Trees

In: The Legacy of Kurt Schütte

Author

Listed:
  • Diana Schmidt

    (Hochschule Heilbronn)

  • Jeroen van der Meeren

    (Gent Universitet, VakgroepWiskunde)

  • Andreas Weiermann

    (Gent Universitet, VakgroepWiskunde)

Abstract

Diana Schmidt, in her Habilitationsschrift in 1979, completely classified the maximal order types of the natural tree embeddability relations for finite rooted structured labeled trees. Her results since have found interesting applications in proof theory and reverse mathematics. The question concerning the maximal order types of unstructured trees has been left open for years, and a conclusive answer will be given in this article. Moreover, we provide an answer to a question of Harvey Friedman regarding Γ0 and binary two-labeled unstructured trees.

Suggested Citation

  • Diana Schmidt & Jeroen van der Meeren & Andreas Weiermann, 2020. "Calculating Maximal Order Types for Finite Rooted Unstructured Labeled Trees," Springer Books, in: Reinhard Kahle & Michael Rathjen (ed.), The Legacy of Kurt Schütte, chapter 0, pages 253-264, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-49424-7_14
    DOI: 10.1007/978-3-030-49424-7_14
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