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Polynomial Realization of ORD-Horn Constraints

Nouhad Amaneddine, Khalil Challita


We study in this paper the consistency of a subclass of the Allen’s Interval Algebra namely the ORD-Horn networks. More precisely, we consider the Region Connection Calculus RCC5 and RCC8 networks and we prove that these networks have a realization in polynomial time if they satisfy certain conditions. We also prove that subclasses of minimal RCC5 and RCC8 ORD-Horn networks satisfying a specific hypothesis are consistent as well.


Qualitative spatial reasoning, CSP, RCC, ORD-Horn.

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