Dependency calculus reasoning in a general point relation algebra

  • Authors:
  • Marco Ragni;Alexander Scivos

  • Affiliations:
  • Institut für Informatik, Albert-Ludwigs-Universität Freiburg, Freiburg, Germany;Institut für Informatik, Albert-Ludwigs-Universität Freiburg, Freiburg, Germany

  • Venue:
  • IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
  • Year:
  • 2005

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Abstract

The point algebra is a fundamental formal calculus for spatial and temporal reasoning. We present a new generalization that meets all requirements to describe dependencies on networks. Applications range from traffic networks to medical diagnostics. We investigate satisfaction problems, tractable subclassses, embeddings into other relation algebras, and the associated interval algebra.