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APPROXIMATING TREES AS COLOURED LINEAR ORDERS AND COMPLETE AXIOMATISATIONS OF SOME CLASSES OF TREES

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Publication:5015724
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DOI10.1017/jsl.2021.40OpenAlexW3170375357MaRDI QIDQ5015724

Ruaan Kellerman, Valentin F. Goranko

Publication date: 9 December 2021

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jsl.2021.40


zbMATH Keywords

treefirst-order theoryaxiomatisationcoloured linear order


Mathematics Subject Classification ID

Trees (05C05) Total orders (06A05) Models of other mathematical theories (03C65)


Related Items

Unnamed Item ⋮ Unnamed Item ⋮ First-order theories of bounded trees



Cites Work

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  • Classification of finite coloured linear orderings
  • Monadic \(\Pi _ 1^ 1\)-theories of \(\Pi _ 1^ 1\)-properties
  • A first-order axiomatization of the theory of finite trees
  • Ehrenfeucht-Fraïssé games on ordinals
  • Classes and theories of trees associated with a class of linear orders
  • The first order properties of products of algebraic systems
  • Structure of partially ordered sets with transitive automorphism groups
  • The decision problem for branching time logic
  • On $ℵ_0$-categoricity and the theory of trees
  • The Reconstruction of Trees from Their Automorphism Groups
  • First-Order Theories of Orthogonality Structures
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