Abstract
Symmetry occurs in many problems in aritifical intelligence. For example, in the n-queens problem, the chessboard can be rotated 90°. As a second example, several machines in a factory might have the same capacity. In a production schedule, we might therefore be able to swap the jobs on machines with the same capacity. As a third example, two people within a company might have the same skills. Given a staff roster, we might therefore be able to interchange these two people. And as a fourth example, when configuring a computer, two memory boards might be identical. We might therefore be able to swap them around without changing the performance of the computer.
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References
Puget, J.F.: On the satisfiability of symmetrical constrained satisfaction problems. In: Komorowski, J., Ras, Z. (eds.) ISMIS 1993. LNCS, 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)
Walsh, T.: General symmetry breaking constraints. In: Benhamou, F. (ed.) CP 2006. LNCS, vol. 4204, Springer, Heidelberg (2006)
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.: Global constraints for integer and set value precedence. In: Wallace, M. (ed.) CP 2004. LNCS, vol. 3258, pp. 362–376. Springer, Heidelberg (2004)
Walsh, T.: Symmetry breaking using value precedence. In: Proceedings of the 17th ECAI, European Conference on Artificial Intelligence, IOS Press, Amsterdam (2006)
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Walsh, T. (2006). Symmetry Breaking. In: Sattar, A., Kang, Bh. (eds) AI 2006: Advances in Artificial Intelligence. AI 2006. Lecture Notes in Computer Science(), vol 4304. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11941439_4
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DOI: https://doi.org/10.1007/11941439_4
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