A note on succinct representations of graphs
Information and Control
The complexity of graph problems for succinctly represented graphs
WG '89 Proceedings of the fifteenth international workshop on Graph-theoretic concepts in computer science
The computational complexity of propositional STRIPS planning
Artificial Intelligence
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
Beyond NP: the QSAT phase transition
AAAI '99/IAAI '99 Proceedings of the sixteenth national conference on Artificial intelligence and the eleventh Innovative applications of artificial intelligence conference innovative applications of artificial intelligence
Initial experiments in stochastic satisfiability
AAAI '99/IAAI '99 Proceedings of the sixteenth national conference on Artificial intelligence and the eleventh Innovative applications of artificial intelligence conference innovative applications of artificial intelligence
A machine program for theorem-proving
Communications of the ACM
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
A Distributed Algorithm to Evaluate Quantified Boolean Formulae
Proceedings of the Seventeenth National Conference on Artificial Intelligence and Twelfth Conference on Innovative Applications of Artificial Intelligence
A satisfiability procedure for quantified boolean formulae
Discrete Applied Mathematics - The renesse issue on satisfiability
Constructing conditional plans by a theorem-prover
Journal of Artificial Intelligence Research
Heuristics based on unit propagation for satisfiability problems
IJCAI'97 Proceedings of the 15th international joint conference on Artifical intelligence - Volume 1
Improvements to the evaluation of quantified boolean formulae
IJCAI'99 Proceedings of the 16th international joint conference on Artificial intelligence - Volume 2
Pushing the envelope: planning, propositional logic, and stochastic search
AAAI'96 Proceedings of the thirteenth national conference on Artificial intelligence - Volume 2
QUBOS: Deciding Quantified Boolean Logic Using Propositional Satisfiability Solvers
FMCAD '02 Proceedings of the 4th International Conference on Formal Methods in Computer-Aided Design
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
Boolean Propagation Based on Literals for Quantified Boolean Formulae
Proceedings of the 2006 conference on ECAI 2006: 17th European Conference on Artificial Intelligence August 29 -- September 1, 2006, Riva del Garda, Italy
SAT'04 Proceedings of the 7th international conference on Theory and Applications of Satisfiability Testing
QBF reasoning on real-world instances
SAT'04 Proceedings of the 7th international conference on Theory and Applications of Satisfiability Testing
SAT'04 Proceedings of the 7th international conference on Theory and Applications of Satisfiability Testing
The second QBF solvers comparative evaluation
SAT'04 Proceedings of the 7th international conference on Theory and Applications of Satisfiability Testing
A symbolic search based approach for quantified boolean formulas
SAT'05 Proceedings of the 8th international conference on Theory and Applications of Satisfiability Testing
Quantifier rewriting and equivalence models for quantified horn formulas
SAT'05 Proceedings of the 8th international conference on Theory and Applications of Satisfiability Testing
Programming for modular reconfigurable robots
Programming and Computing Software
QBF modeling: exploiting player symmetry for simplicity and efficiency
SAT'06 Proceedings of the 9th international conference on Theory and Applications of Satisfiability Testing
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Quantified Boolean formulae offer a means of representing many propositional formula exponentially more compactly than propositional logic. Recent work on automating reasoning with QBF has concentrated on extending the Davis-Putnam procedure to handle QBF. Although the resulting procedures make it possible to evaluate QBF that could not be efficiently reduced to propositional logic (requiring worst-case exponential space), its efficiency often lags much behind the reductive approach when the reduction is possible. We attribute this inefficiency to the fact that many of the unit resolution steps possible in the reduced (propositional logic) formula are not performed in the corresponding QBF. To combine the conciseness of the QBF representation and the stronger inferences available in the unquantified representation, we introduce a stronger propagation algorithm for QBF which could be seen as partially unfolding the universal quantification. The algorithm runs in worst-case exponential time, like the reduction of QBF to propositional logic, but needs only polynomial space. By restricting the algorithm the exponential behavior can be avoided while still preserving many of the useful inferences.