Backtrack Searching in the Presence of Symmetry
AAECC-6 Proceedings of the 6th International Conference, on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
On the Satisfiability of Symmetrical Constrained Satisfaction Problems
ISMIS '93 Proceedings of the 7th International Symposium on Methodologies for Intelligent Systems
Excluding Symmetries in Constraint-Based Search
CP '99 Proceedings of the 5th International Conference on Principles and Practice of Constraint Programming
CP '01 Proceedings of the 7th International Conference on Principles and Practice of Constraint Programming
Global Cut Framework for Removing Symmetries
CP '01 Proceedings of the 7th International Conference on Principles and Practice of Constraint Programming
CP '02 Proceedings of the 8th International Conference on Principles and Practice of Constraint Programming
Groups and Constraints: Symmetry Breaking during Search
CP '02 Proceedings of the 8th International Conference on Principles and Practice of Constraint Programming
Breaking Row and Column Symmetries in Matrix Models
CP '02 Proceedings of the 8th International Conference on Principles and Practice of Constraint Programming
The Complexity of Symmetry-Breaking Formulas
Annals of Mathematics and Artificial Intelligence
Stochastic Local Search: Foundations & Applications
Stochastic Local Search: Foundations & Applications
Constraints
Constraint Models for the Covering Test Problem
Constraints
Constraint Logic Programming using Eclipse
Constraint Logic Programming using Eclipse
Enhancing set constraint solvers with lexicographic bounds
Journal of Heuristics
MINION: A Fast, Scalable, Constraint Solver
Proceedings of the 2006 conference on ECAI 2006: 17th European Conference on Artificial Intelligence August 29 -- September 1, 2006, Riva del Garda, Italy
An efficient way of breaking value symmetries
AAAI'06 Proceedings of the 21st national conference on Artificial intelligence - Volume 1
IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
Snake lex: an alternative to double lex
CP'09 Proceedings of the 15th international conference on Principles and practice of constraint programming
Evaluation of length-lex set variables
CP'09 Proceedings of the 15th international conference on Principles and practice of constraint programming
On the complexity and completeness of static constraints for breaking row and column symmetry
CP'10 Proceedings of the 16th international conference on Principles and practice of constraint programming
CP'06 Proceedings of the 12th international conference on Principles and Practice of Constraint Programming
General symmetry breaking constraints
CP'06 Proceedings of the 12th international conference on Principles and Practice of Constraint Programming
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The presence of symmetry in constraint satisfaction problems can cause a great deal of wasted search effort, and several methods for breaking symmetries have been reported. In this paper we describe a new method called Symmetry Breaking by Nonstationary Optimisation, which interleaves local search in the symmetry group with backtrack search on the constraint problem. It can be tuned to break each symmetry with an arbitrarily high probability with high runtime overhead, or as a lightweight but still powerful method with low runtime overhead. It has negligible memory requirement, it combines well with static lex-leader constraints, and its benefit increases with problem hardness.