Constraint propagation algorithms for temporal reasoning: a revised report
Readings in qualitative reasoning about physical systems
Exact and approximate reasoning about temporal relations
Computational Intelligence
Temporally distributed symptoms in technical diagnosis
Temporally distributed symptoms in technical diagnosis
Reasoning about qualitative temporal information
Artificial Intelligence - Special volume on constraint-based reasoning
Reasoning about temporal relations: a maximal tractable subclass of Allen's interval algebra
Journal of the ACM (JACM)
From local to global consistency in temporal constraint networks
Theoretical Computer Science - Special issue: principles and practice of constraint programming
Synthesizing constraint expressions
Communications of the ACM
Reasoning about temporal relations: The tractable subalgebras of Allen's interval algebra
Journal of the ACM (JACM)
An interval-based representation of temporal knowledge
IJCAI'81 Proceedings of the 7th international joint conference on Artificial intelligence - Volume 1
A new proof of tractability for 0RD-horn relations
AAAI'96 Proceedings of the thirteenth national conference on Artificial intelligence - Volume 1
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
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We study in this paper the problem of global consistency for qualitative constraints networks (QCNs) of the Point Algebra (PA) and the Interval Algebra (IA). In particular, we consider the subclass $\mathcal{S}_{\sf PA}$ corresponding to the set of relations of PA except the relations {,=}, and the subclass $\mathcal{S}_{\sf IA}$ corresponding to pointizable relations of IA one can express by means of relations of $\mathcal{S}_{\sf PA}$. We prove that path-consistency implies global consistency for QCNs defined on these subclasses. Moreover, we show that with the subclasses corresponding to convex relations, there are unique greatest subclasses of PA and IA containing singleton relations satisfying this property.