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Calculating Maximal Order Types for Finite Rooted Unstructured Labeled Trees

Diana Schmidt (), Jeroen van der Meeren () and Andreas Weiermann ()
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Diana Schmidt: Hochschule Heilbronn
Jeroen van der Meeren: Gent Universitet, VakgroepWiskunde
Andreas Weiermann: Gent Universitet, VakgroepWiskunde

Chapter Chapter 14 in The Legacy of Kurt Schütte, 2020, pp 253-264 from Springer

Abstract: 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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-49424-7_14

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DOI: 10.1007/978-3-030-49424-7_14

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