A filtering algorithm for constraints of difference in CSPs
AAAI '94 Proceedings of the twelfth national conference on Artificial intelligence (vol. 1)
A theoretical evaluation of selected backtracking algorithms
Artificial Intelligence
On the conversion between non-binary constraint satisfaction problems
AAAI '98/IAAI '98 Proceedings of the fifteenth national/tenth conference on Artificial intelligence/Innovative applications of artificial intelligence
Performance measurement and analysis of certain search algorithms.
Performance measurement and analysis of certain search algorithms.
Binary vs. non-binary constraints
Artificial Intelligence
CP '02 Proceedings of the 6th International Conference on Principles and Practice of Constraint Programming
On Dual Encodings for Non-binary Constraint Satisfaction Problems
CP '02 Proceedings of the 6th International Conference on Principles and Practice of Constraint Programming
CP '02 Proceedings of the 8th International Conference on Principles and Practice of Constraint Programming
A Dual Graph Translation of a Problem in 'Life'
CP '02 Proceedings of the 8th International Conference on Principles and Practice of Constraint Programming
Reformulating Propositional Satisfiability as Constraint Satisfaction
SARA '02 Proceedings of the 4th International Symposium on Abstraction, Reformulation, and Approximation
Solving Non-binary CSPs Using the Hidden Variable Encoding
CP '01 Proceedings of the 7th International Conference on Principles and Practice of Constraint Programming
Incentive compatible open constraint optimization
Proceedings of the 4th ACM conference on Electronic commerce
Incentive compatible open constraint optimization
AAMAS '03 Proceedings of the second international joint conference on Autonomous agents and multiagent systems
A hybrid AI approach for nurse rostering problem
Proceedings of the 2003 ACM symposium on Applied computing
Modular lazy search for Constraint Satisfaction Problems
Journal of Functional Programming
Artificial Intelligence - Special issue: Distributed constraint satisfaction
Multiply-constrained distributed constraint optimization
AAMAS '06 Proceedings of the fifth international joint conference on Autonomous agents and multiagent systems
Partition search for non-binary constraint satisfaction
Information Sciences: an International Journal
Domain filtering consistencies for non-binary constraints
Artificial Intelligence
Search Space Reduction for Constraint Optimization Problems
CP '08 Proceedings of the 14th international conference on Principles and Practice of Constraint Programming
Sensitivity analysis for distributed optimization with resource constraints
Proceedings of The 8th International Conference on Autonomous Agents and Multiagent Systems - Volume 1
Search space reduction and Russian Doll search
AAAI'07 Proceedings of the 22nd national conference on Artificial intelligence - Volume 1
Binary encodings of non-binary constraint satisfaction problems: algorithms and experimental results
Journal of Artificial Intelligence Research
Artificial Intelligence - Special issue: Distributed constraint satisfaction
Dual encoding using constraint coverings
PRICAI'00 Proceedings of the 6th Pacific Rim international conference on Artificial intelligence
Balancing local resources and global goals in multiply-constrained DCOP
Multiagent and Grid Systems
CP'06 Proceedings of the 12th international conference on Principles and Practice of Constraint Programming
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We perform a detailed theoretical and empirical comparison of the dual and hidden variable encodings of non-binary constraint satisfaction problems. We identify a simple relationship between the two encodings by showing how we can translate between the two by composing or decomposing relations. This translation suggests that we will tend to achieve more pruning in the dual than in the hidden variable encoding. We prove that achieving arc-consistency one dual encoding is strictly stronger than achieving arc-consistency on the hidden variable, and this itself is equivalent to achieving generalized arc-consistency on the original (non-binary) problem. We also prove that, as a consequence of the unusual topology of the constraint graph. In the hidden variable encoding, inverse consistencies like neighborhood. Inverse consistency and path inverse consistency collapse down onto arc-consistency. Finally, we propose the "double encoding", which combines together both the dual and the hidden variable encodings.