Arc-consistency and arc-consistency again
Artificial Intelligence
Improvements to propositional satisfiability search algorithms
Improvements to propositional satisfiability search algorithms
Synthesizing constraint expressions
Communications of the ACM
Improving domain filtering using restricted path consistency
CAIA '95 Proceedings of the 11th Conference on Artificial Intelligence for Applications
Domain filtering consistencies
Journal of Artificial Intelligence Research
Heuristics based on unit propagation for satisfiability problems
IJCAI'97 Proceedings of the 15th international joint conference on Artifical intelligence - Volume 1
Refining the basic constraint propagation algorithm
IJCAI'01 Proceedings of the 17th international joint conference on Artificial intelligence - Volume 1
Making AC-3 an optimal algorithm
IJCAI'01 Proceedings of the 17th international joint conference on Artificial intelligence - Volume 1
Theoretical analysis of singleton arc consistency and its extensions
Artificial Intelligence
Optimization of Simple Tabular Reduction for Table Constraints
CP '08 Proceedings of the 14th international conference on Principles and Practice of Constraint Programming
On the Integration of Singleton Consistencies and Look-Ahead Heuristics
Recent Advances in Constraints
Constraint-Level Advice for Shaving
ICLP '08 Proceedings of the 24th International Conference on Logic Programming
Artificial Intelligence
Beyond Singleton Arc Consistency
Proceedings of the 2006 conference on ECAI 2006: 17th European Conference on Artificial Intelligence August 29 -- September 1, 2006, Riva del Garda, Italy
AAAI'07 Proceedings of the 22nd national conference on Artificial intelligence - Volume 1
A study of residual supports in arc consistency
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
Probabilistic consistency boosts MAC and SAC
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
A greedy approach to establish singleton arc consistency
IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
Solving difficult SAT instances using greedy clique decomposition
SARA'07 Proceedings of the 7th International conference on Abstraction, reformulation, and approximation
Path consistency by dual consistency
CP'07 Proceedings of the 13th international conference on Principles and practice of constraint programming
Constructive interval disjunction
CP'07 Proceedings of the 13th international conference on Principles and practice of constraint programming
Extracting microstructure in binary constraint networks
CSCLP'06 Proceedings of the constraint solving and contraint logic programming 11th annual ERCIM international conference on Recent advances in constraints
Developing approaches for solving a telecommunications feature subscription problem
Journal of Artificial Intelligence Research
Journal of Artificial Intelligence Research
Generalized arc consistency for positive table constraints
CP'06 Proceedings of the 12th international conference on Principles and Practice of Constraint Programming
Dealing with Satisfiability and n-ary CSPs in a Logical Framework
Journal of Automated Reasoning
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Singleton arc consistency (SAC) enhances the pruning capability of arc consistency by ensuring that the network cannot become arc inconsistent after the assignment of a value to a variable. Algorithms have already been proposed to enforce SAC, but they are far from optimal time complexity. We give a lower bound to the time complexity of enforcing SAC, and we propose an algorithm that achieves this complexity, thus being optimal. However, it can be costly in space on large problems. We then propose another SAC algorithm that trades time optimality for a better space complexity. Nevertheless, this last algorithm has a better worst-case time complexity than previously published SAC algorithms. An experimental study shows the good performance of the new algorithms.