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ORDER
2011
12 years 12 months ago
Order Types of Convex Bodies
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...
ORDER
2010
89views more  ORDER 2010»
13 years 3 months ago
On Order Types of Systems of Segments in the Plane
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 ...
Andrew Suk
CORR
2007
Springer
133views Education» more  CORR 2007»
13 years 5 months ago
On Decidability Properties of Local Sentences
Local (first order) sentences, introduced by Ressayre, enjoy very nice decidability properties, following from some stretching theorems stating some remarkable links between the ...
Olivier Finkel
BIRTHDAY
2010
Springer
13 years 5 months ago
Decidable Expansions of Labelled Linear Orderings
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...
Alexis Bès, Alexander Rabinovich
CIE
2007
Springer
13 years 11 months ago
Binary Trees and (Maximal) Order Types
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...
Gyesik Lee