ML Anthology

Multidimensional Mereotopology with Betweenness

Torsten Hahmann, Michael Grüninger
IJCAI 2011 pp. 906-911
doi:10.5591/978-1-57735-516-8/IJCAI11-157 /ijcai/2011/hahmann2011ijcai-multidimensional/

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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Text

Hahmann and Grüninger. "Multidimensional Mereotopology with Betweenness." International Joint Conference on Artificial Intelligence, 2011. doi:10.5591/978-1-57735-516-8/IJCAI11-157

Markdown

[Hahmann and Grüninger. "Multidimensional Mereotopology with Betweenness." International Joint Conference on Artificial Intelligence, 2011.](https://mlanthology.org/ijcai/2011/hahmann2011ijcai-multidimensional/) doi:10.5591/978-1-57735-516-8/IJCAI11-157

BibTeX

@inproceedings{hahmann2011ijcai-multidimensional,
  title     = {{Multidimensional Mereotopology with Betweenness}},
  author    = {Hahmann, Torsten and Grüninger, Michael},
  booktitle = {International Joint Conference on Artificial Intelligence},
  year      = {2011},
  pages     = {906-911},
  doi       = {10.5591/978-1-57735-516-8/IJCAI11-157},
  url       = {https://mlanthology.org/ijcai/2011/hahmann2011ijcai-multidimensional/}
}