Study: Symmetry breaking for ASP

Anna Ryabokon

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arXiv · 1212.2657

Study: Symmetry breaking for ASP

Anna Ryabokon

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Abstract

In their nature configuration problems are combinatorial (optimization) problems. In order to find a configuration a solver has to instantiate a number of components of a some type and each of these components can be used in a relation defined for a type. Therefore, many solutions of a configuration problem have symmetric ones which can be obtained by replacing some component of a solution by another one of the same type. These symmetric solutions decrease performance of optimization algorithms because of two reasons: a) they satisfy all requirements and cannot be pruned out from the search space; and b) existence of symmetric optimal solutions does not allow to prove the optimum in a feasible time.

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Anna Ryabokon. 2012-12-11. Study: Symmetry breaking for ASP. https://arxiv.org/abs/1212.2657

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