Abstract
To offer a generic framework which groups together several interval algebra generalizations, we simply define a generalized interval as a tuple of intervals. An atomic relation between two generalized intervals is a matrix of atomic relations of Interval Algebra. After introducing the generalized relations we focus on the consistency problem of generalized constraint networks and we present sets of generalized relations for which this problem is tractable, in particular the set of the strongly-preconvex relations.
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Condotta, JF. A General Qualitative Framework for Temporal and Spatial Reasoning. Constraints 9, 99–121 (2004). https://doi.org/10.1023/B:CONS.0000024047.02149.64
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DOI: https://doi.org/10.1023/B:CONS.0000024047.02149.64