A sufficient condition for backtrack-bounded search
Journal of the ACM (JACM)
On the minimality and global consistency of row-convex constraint networks
Journal of the ACM (JACM)
A generic customizable framework for inverse local consistency
AAAI '99/IAAI '99 Proceedings of the sixteenth national conference on Artificial intelligence and the eleventh Innovative applications of artificial intelligence conference innovative applications of artificial intelligence
On forward checking for non-binary constraint satisfaction
Artificial Intelligence
Binary vs. non-binary constraints
Artificial Intelligence
An optimal coarse-grained arc consistency algorithm
Artificial Intelligence
Domain filtering consistencies
Journal of Artificial Intelligence Research
Binary encodings of non-binary constraint satisfaction problems: algorithms and experimental results
Journal of Artificial Intelligence Research
Neighborhood inverse consistency preprocessing
AAAI'96 Proceedings of the thirteenth national conference on Artificial intelligence - Volume 1
AAAI'07 Proceedings of the 22nd national conference on Artificial intelligence - Volume 1
Integrating strong local consistencies into constraint solvers
CSCLP'09 Proceedings of the 14th Annual ERCIM international conference on Constraint solving and constraint logic programming
Journal of Artificial Intelligence Research
A framework for decision-based consistencies
CP'11 Proceedings of the 17th international conference on Principles and practice of constraint programming
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We present a detailed study of two inverse consistencies for non-binary constraints: relational path inverse consistency (rel PIC) and pairwise inverse consistency (PWIC). These are stronger than generalized arc consistency (GAC), even though they also only prune domain values. We propose algorithms to achieve rel PIC and PWIC, that have a time complexity better than the previous generic algorithm for inverse consistencies. One of our algorithms for PWIC has a complexity comparable to that for GAC despite doing more pruning. Our experiments demonstrate that inverse consistencies can be more efficient than GAC on a range of non-binary problems.