We prove a Hadwiger transversal type result, characterizing convex position on a family of non-crossing convex bodies in the plane. This theorem suggests a definition for the ord...
Alfredo Hubard, Luis Montejano, Emiliano Mora, And...
Let r(n) denote the largest integer such that every family C of n pairwise disjoint segments in the plane in general position has r(n) members whose order type can be represented ...
Local (first order) sentences, introduced by Ressayre, enjoy very nice decidability properties, following from some stretching theorems stating some remarkable links between the ...
Let M = (A, <, P) where (A, <) is a linear ordering and P denotes a finite sequence of monadic predicates on A. We show that if A contains an interval of order type or -, an...
Concerning the set of rooted binary trees, one shows that Higman’s Lemma and Dershowitz’s recursive path ordering can be used for the decision of its maximal order type accordi...