AAAI Publications, Twenty-Second International Joint Conference on Artificial Intelligence

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Multidimensional Mereotopology with Betweenness
Torsten Hahmann, Michael Gruninger

Last modified: 2011-06-28

Abstract


Qualitative reasoning about commonsense space often involves entities of different dimensions. We present a weak axiomatization of multidimensional qualitative space based on `relative dimension' and dimension-independent `containment' which suffice to define basic dimension-dependent mereotopological relations. We show the relationships to other meoreotopologies and to incidence geometry. The extension with betweenness, a primitive of relative position, results in a first-order theory that qualitatively abstracts ordered incidence geometry.

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