Abstract
We describe some new propagators for breaking symmetries in constraint satisfaction problems. We also introduce symmetry breaking constraints to deal with symmetries acting simultaneously on variables and values, conditional symmetries, as well as symmeties acting on set and other types of variables.
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References
Puget, J.F.: On the satisfiability of symmetrical constrained satisfaction problems. In: Komorowski, J., Raś, Z.W. (eds.) ISMIS 1993. LNCS (LNAI), vol. 689, pp. 350–361. Springer, Heidelberg (1993)
Crawford, J., Luks, G., Ginsberg, M., Roy, A.: Symmetry breaking predicates for search problems. In: Proceedings of the 5th International Conference on Knowledge Representation and Reasoning (KR 1996), pp. 148–159 (1996)
Petrie, K.E., Smith, B.M.: Symmetry Breaking in Graceful Graphs. Technical Report APES-56a-2003, APES Research Group (2003)
Puget, J.F.: An efficient way of breaking value symmetries. In: Proceedings of the 21st National Conference on AI (2006)
Kiziltan, Z.: Symmetry Breaking Ordering Constraints. Ph.D thesis, Department of Information Science, Uppsala University (2004)
Carlsson, M., Beldiceanu, N.: Arc-consistency for a chain of lexicographic ordering constraints. Technical report T2002-18, Swedish Institute of Computer Science (2002)
Bessiere, C., Hebrard, E., Hnich, B., Walsh, T.: The complexity of global constraints. In: Proceedings of the 19th National Conference on AI (2004)
Puget, J.F.: Breaking all value symmetries in surjection problems. In: van Beek, P. (ed.) CP 2005. LNCS, vol. 3709. Springer, Heidelberg (2005)
Frisch, A., Hnich, B., Kiziltan, Z., Miguel, I., Walsh, T.: Global constraints for lexicographic orderings. In: Van Hentenryck, P. (ed.) CP 2002. LNCS, vol. 2470. Springer, Heidelberg (2002)
Dechter, R., Pearl, J.: Tree clustering for constraint networks. Artificial Intelligence 38, 353–366 (1989)
Law, Y., Lee, J.: Global constraints for integer and set value precedence. In: Wallace, M. (ed.) CP 2004. LNCS, vol. 3258, pp. 362–376. Springer, Heidelberg (2004)
Cohen, D., Jeavons, P., Jefferson, C., Petrie, K., Smith, B.: Symmetry definitions for constraint satisfaction problems. In: van Beek, P. (ed.) CP 2005. LNCS, vol. 3709, pp. 17–31. Springer, Heidelberg (2005)
Gent, I., Kelsey, T., Linton, S., McDonald, I., Miguel, I., Smith, B.: Conditional symmetry breaking. In: van Beek, P. (ed.) CP 2005. LNCS, vol. 3709. Springer, Heidelberg (2005)
Walsh, T.: Symmetry breaking using value precedence. In: Proceedings of the 17th ECAI, European Conference on Artificial Intelligence. IOS Press, Amsterdam (2006)
Puget, J.F.: Breaking symmetries in all different problems. In: Proceedings of 19th IJCAI, International Joint Conference on Artificial Intelligence, pp. 272–277 (2005)
Smith, B., Petrie, K., Gent, I.: Models and symmetry breaking for peacable armies of queens. In: Régin, J.-C., Rueher, M. (eds.) CPAIOR 2004. LNCS, vol. 3011, pp. 271–286. Springer, Heidelberg (2004)
Sadler, A., Gervet, C.: Hybrid set domains to strengthen constraint propagation and reduce symmetries. In: Wallace, M. (ed.) CP 2004. LNCS, vol. 3258. Springer, Heidelberg (2004)
Hawkins, P., Lagoon, V., Stuckey, P.: Solving set constraint satisfaction problems using ROBDDs. Journal of Artificial Intelligence Research 24, 109–156 (2005)
Walsh, T.: Consistency and propagation with multiset constraints: A formal viewpoint. In: Rossi, F. (ed.) CP 2003. LNCS, vol. 2833. Springer, Heidelberg (2003)
Dooms, G., Deville, Y., Dupont, P.: CP(Graph): Introducing a graph computation domain in constraint programming. In: van Beek, P. (ed.) CP 2005. LNCS, vol. 3709. Springer, Heidelberg (2005)
Aloul, F., Ramani, A., Markov, I., Sakallah, K.: Solving difficult SAT instances in the presence of symmetries. In: Proceedings of the Design Automation Conference, pp. 731–736 (2002)
Aloul, F., Sakallah, K., Markov, I.: Efficient symmetry breaking for Boolean satisfiability. In: Proceedings of the 18th International Joint Conference on AI, International Joint Conference on Artificial Intelligence, pp. 271–276 (2003)
Shlyakhter, I.: Generating effective symmetry-breaking predicates for search problems. In: Proceedings of LICS workshop on Theory and Applications of Satisfiability Testing (SAT 2001) (2001)
Flener, P., Frisch, A., Hnich, B., Kiziltan, Z., Miguel, I., Pearson, J., Walsh, T.: Breaking row and column symmetry in matrix models. In: Van Hentenryck, P. (ed.) CP 2002. LNCS, vol. 2470. Springer, Heidelberg (2002)
Law, Y., Lee, J.: Symmetry Breaking Constraints for Value Symmetries in Constraint Satisfaction. Constraints (to appear, 2006)
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Walsh, T. (2006). General Symmetry Breaking Constraints. In: Benhamou, F. (eds) Principles and Practice of Constraint Programming - CP 2006. CP 2006. Lecture Notes in Computer Science, vol 4204. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11889205_46
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DOI: https://doi.org/10.1007/11889205_46
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-46267-5
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