Resolution for quantified Boolean formulas
Information and Computation
An algorithm to evaluate quantified Boolean formulae
AAAI '98/IAAI '98 Proceedings of the fifteenth national/tenth conference on Artificial intelligence/Innovative applications of artificial intelligence
Chaff: engineering an efficient SAT solver
Proceedings of the 38th annual Design Automation Conference
QUBOS: Deciding Quantified Boolean Logic Using Propositional Satisfiability Solvers
FMCAD '02 Proceedings of the 4th International Conference on Formal Methods in Computer-Aided Design
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
Conflict driven learning in a quantified Boolean Satisfiability solver
Proceedings of the 2002 IEEE/ACM international conference on Computer-aided design
Learning for quantified boolean logic satisfiability
Eighteenth national conference on Artificial intelligence
Heuristic-Based Backtracking Relaxation for Propositional Satisfiability
Journal of Automated Reasoning
Variable Dependencies of Quantified CSPs
LPAR '08 Proceedings of the 15th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning
Backdoor Sets of Quantified Boolean Formulas
Journal of Automated Reasoning
A Solver for QBFs in Nonprenex Form
Proceedings of the 2006 conference on ECAI 2006: 17th European Conference on Artificial Intelligence August 29 -- September 1, 2006, Riva del Garda, Italy
A Compact Representation for Syntactic Dependencies in QBFs
SAT '09 Proceedings of the 12th International Conference on Theory and Applications of Satisfiability Testing
Beyond CNF: A Circuit-Based QBF Solver
SAT '09 Proceedings of the 12th International Conference on Theory and Applications of Satisfiability Testing
Clause/term resolution and learning in the evaluation of quantified Boolean formulas
Journal of Artificial Intelligence Research
A first step towards a unified proof checker for QBF
SAT'07 Proceedings of the 10th international conference on Theory and applications of satisfiability testing
Bounded universal expansion for preprocessing QBF
SAT'07 Proceedings of the 10th international conference on Theory and applications of satisfiability testing
A lightweight component caching scheme for satisfiability solvers
SAT'07 Proceedings of the 10th international conference on Theory and applications of satisfiability testing
Exploiting structure in an AIG based QBF solver
Proceedings of the Conference on Design, Automation and Test in Europe
SAT'04 Proceedings of the 7th international conference on Theory and Applications of Satisfiability Testing
SAT'05 Proceedings of the 8th international conference on Theory and Applications of Satisfiability Testing
Quantifier Structure in Search-Based Procedures for QBFs
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Variable independence and resolution paths for quantified boolean formulas
CP'11 Proceedings of the 17th international conference on Principles and practice of constraint programming
ATVA'11 Proceedings of the 9th international conference on Automated technology for verification and analysis
Computing resolution-path dependencies in linear time ,
SAT'12 Proceedings of the 15th international conference on Theory and Applications of Satisfiability Testing
Resolution-based certificate extraction for QBF
SAT'12 Proceedings of the 15th international conference on Theory and Applications of Satisfiability Testing
Contributions to the theory of practical quantified boolean formula solving
CP'12 Proceedings of the 18th international conference on Principles and Practice of Constraint Programming
Efficiently solving quantified bit-vector formulas
Formal Methods in System Design
Efficient clause learning for quantified boolean formulas via QBF pseudo unit propagation
SAT'13 Proceedings of the 16th international conference on Theory and Applications of Satisfiability Testing
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Many search-based QBF solvers implementing the DPLL algorithm for QBF (QDPLL) process formulae in prenex conjunctive normal form (PCNF). The quantifier prefix of PCNFs often results in strong variable dependencies which can influence solver performance negatively. A common approach to overcome this problem is to reconstruct quantifier structure e.g. by quantifier trees. Dependency schemes are a generalization of quantifier trees in the sense that more general dependency graphs can be obtained. So far, dependency graphs have not been applied in QBF solving. In this work we consider the problem of efficiently integrating dependency graphs in QDPLL. Thereby we generalize related work on integrating quantifier trees. By analyzing the core parts of QDPLL, we report on modifications necessary to profit from general dependency graphs. In comprehensive experiments we show that QDPLL using a particular dependency graph, despite of increased overhead, outperforms classical QDPLL relying on quantifier prefixes of PCNFs.