Archive for Mathematical Logic 60 (1):227-239 (2021)

Abstract
Betweenness as a relation between three individual points has been widely studied in geometry and axiomatized by several authors in different contexts. The article proposes a more general notion of betweenness as a relation between three sets of points. The main technical result is a sound and complete logical system describing universal properties of this relation between sets of vertices of a graph.
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DOI 10.1007/s00153-020-00744-5
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References found in this work BETA

The Foundations of Geometry.David Hilbert - 1899 - Open Court Company (This Edition Published 1921).
Logic of Secrets in Collaboration Networks.Sara More & Pavel Naumov - 2011 - Annals of Pure and Applied Logic 162 (12):959-969.
Logic of Secrets in Collaboration Networks.Sara Miner More & Pavel Naumov - 2011 - Annals of Pure and Applied Logic 162 (12):959-969.

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