Computational complexity of relating time points with intervals

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Computational Complexity of Relating Time Points with Intervals

Several algebras have been proposed for reasoning about qualitative constraints over the time line. One of these algebras is Vilain's point-interval algebra, which can relate time points with time intervals. Apart from being a stand-alone qualitative algebra, it is also used as a subalgebra in Meiri's approach to temporal reasoning, which combines reasoning about metric and qualitative temporal...

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The Computational Complexity ofRelating Points

Vilain has suggested the point-interval algebra for reasoning about the relative positions of points and intervals on the real line. The satissability problem for the full point-interval algebra is known to be NP-complete but the computational complexity of its 4; 294; 967; 296 subclasses has not been investigated. We classify these subclasses with respect to whether their corresponding satissa...

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ژورنال

عنوان ژورنال: Artificial Intelligence

سال: 1999

ISSN: 0004-3702

DOI: 10.1016/s0004-3702(99)00007-7