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Publication type: Article in Proceedings
Author: Frank Dylla, Till Mossakowski, Thomas Schneider, Diedrich Wolter
Editor: Thora Tenbrink, John G. Stell, Antony Galton, Zena Wood
Title: Algebraic Properties of Qualitative Spatio-Temporal Calculi
Book / Collection title: Proceedings of Conference On Spatial Information Theory 2013
Volume: 8116
Page(s): 516 – 536
Series: Lecture Notes in Computer Science
Year published: 2013
Publisher: Springer-Verlag Berlin Heidelberg
Abstract: Qualitative spatial and temporal reasoning is based on so-called qualitative calculi. Algebraic properties of these calculi have several implications on reasoning algorithms. But what exactly is a qualitative calculus? And to which extent do the qualitative calculi proposed meet these demands? The literature provides different answers to the first question but only few facts about the second. In this paper we identify the minimal requirements to binary spatio-temporal calculi and we discuss the relevance of the according axioms for representation and reasoning. We also analyze existing qualitative calculi and provide a classification involving different notions of a relation algebra.
Internet: http://link.springer.com/chapter/10.1007%2F978-3-319-01790-7_28
Keywords: qualitative spatial reasoning relation algebra algebraic closure
Status: Reviewed
Last updated: 17. 01. 2014

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