Toward a Geometry of Common Sense: A Semantics and a Complete Axiomatization of Mereotopology

  title={Toward a Geometry of Common Sense: A Semantics and a Complete Axiomatization of Mereotopology},
  author={Nicholas Asher and Laure Vieu},
Mereological and topological notions of connection, part, interior and complement are central to spatial reasoning and to the semantics of natural language expressions concerning locations and relative positions. While several authors have proposed axioms for these notions, no one with the exception of Tarski [18], who based his axiomatization of mereological notions on a Euclidean metric, has attempted to give them a semantics. We offer an alternative to Tarski, starting with mereotopological… CONTINUE READING
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