Arc consistency for factorable relations

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Arc consistency for factorable relations

An optimal arc consistency algorithm AC-4 was given by Mohr and Henderson [8]. AC4 has cost 0(ea), and cost (na) for scene labelling. Although their algorithm is indeed optimal, under certain conditions a constraint satisfaction problem can be transformed into a less complex problem. In this paper, we present conditions and mechanisms for such transformations, and show how to factor relations i...

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Arc-Consistency and Arc-Consistency Again

There is no need to show the importance of arc-consistency in Constraint Networks. Mohr and Henderson [8] have proposed AC-4, an algorithm having an optimal worst-case time complexity. But it has two drawbacks: its space complexity and its average time complexity. In problems with many solutions, where the size of the constraints is large, these drawbacks become so important that users often re...

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The notion of arc consistency plays a central role in constraint satisfaction. It is known since [19, 4, 5] that the notion of local consistency can be extended to constraint optimisation problems defined by soft constraint frameworks based on an idempotent cost combination operator. This excludes non idempotent operators such as + which define problems which are very important in practical app...

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Davis 1] has investigated the properties of the Waltz propagation algorithm with interval labels in continuous domains. He shows that in most cases, the algorithm does not achieve arc consistency, and furthermore is subject to innnite iterations. In this paper, I show that the main reason for Davis' negative results lies in the way he formulates the propagation rule for the Waltz algorithm. For...

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ژورنال

عنوان ژورنال: Artificial Intelligence

سال: 1992

ISSN: 0004-3702

DOI: 10.1016/0004-3702(92)90077-b