Resolution for quantified Boolean formulas
Information and Computation
Lemma and Model Caching in Decision Procedures for Quantified Boolean Formulas
TABLEAUX '02 Proceedings of the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods
Towards a Symmetric Treatment of Satisfaction and Conflicts in Quantified Boolean Formula Evaluation
CP '02 Proceedings of the 8th International Conference on Principles and Practice of Constraint Programming
QUBE: A System for Deciding Quantified Boolean Formulas Satisfiability
IJCAR '01 Proceedings of the First International Joint Conference on Automated Reasoning
sKizzo: a suite to evaluate and certify QBFs
CADE' 20 Proceedings of the 20th international conference on Automated Deduction
Generalizing consistency and other constraint properties to quantified constraints
ACM Transactions on Computational Logic (TOCL)
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Many reasoning task and combinatorial problems exhibit symmetries. Exploiting such symmetries has been proved to be very important in reducing search efforts. Breaking symmetries using additional constraints is currently one of the most used approaches. Extending such symmetry breaking techniques to quantified boolean formulae (QBF) is a very challenging task. In this paper, an approach to break symmetries in quantified boolean formulae is proposed. It makes an original use of universally quantified auxiliary variables to generate new symmetry breaking predicates and a new ordering of the QBF prefix is then computed leading to a new equivalent QBF formula with respect to validity. Experimental evaluation of the state-of-the-art QBF solver SEMPROP shows significant improvements (up to several orders of magnitude) on many QBFs instances.