Induced betweenness in order-theoretic trees

HIGHLIGHTS

  • who: DMTCS, vol. and LaBRI, from the CNRS, Bordeaux University, France have published the Article: Induced betweenness in order-theoretic trees, in the Journal: (JOURNAL)

SUMMARY

    In a partially ordered set (N, ≤), B(x, y, z):⇐⇒ x and amp;lt; y and amp;lt; z ∨ z and amp;lt; y and amp;lt; x. The class of betweenness structures of linear orders is first-order definable, i.e., is axiomatized by a single first-order sentence; that of partial orders is monadic second-order definable. The authors conjectured that the class IBO of . . .

     

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