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@inproceedings{1523756, author = {Eiben, Eduard and Ganian, Robert and Ordyniak, Sebastian}, address = {Nemecko}, booktitle = {STACS 2018}, doi = {http://dx.doi.org/10.4230/LIPIcs.STACS.2018.28}, editor = {Rolf Niedermeier, Brigitte Vallee}, keywords = {QBF; treewidth; fixed parameter tractability; dependency schemes}, howpublished = {elektronická verze "online"}, language = {eng}, location = {Nemecko}, isbn = {978-3-95977-062-0}, pages = {1-15}, publisher = {Dagstuhl}, title = {Small Resolution Proofs for QBF using Dependency Treewidth}, year = {2018} }
TY - JOUR ID - 1523756 AU - Eiben, Eduard - Ganian, Robert - Ordyniak, Sebastian PY - 2018 TI - Small Resolution Proofs for QBF using Dependency Treewidth PB - Dagstuhl CY - Nemecko SN - 9783959770620 KW - QBF KW - treewidth KW - fixed parameter tractability KW - dependency schemes N2 - In spite of the close connection between the evaluation of quantified Boolean formulas (QBF) and propositional satisfiability (SAT), tools and techniques which exploit structural properties of SAT instances are known to fail for QBF. This is especially true for the structural parameter treewidth, which has allowed the design of successful algorithms for SAT but cannot be straightforwardly applied to QBF since it does not take into account the interdependencies between quantified variables. In this work we introduce and develop dependency treewidth, a new structural parameter based on treewidth which allows the efficient solution of QBF instances. Dependency treewidth pushes the frontiers of tractability for QBF by overcoming the limitations of previously introduced variants of treewidth for QBF. We augment our results by developing algorithms for computing the decompositions that are required to use the parameter. ER -
EIBEN, Eduard, Robert GANIAN and Sebastian ORDYNIAK. Small Resolution Proofs for QBF using Dependency Treewidth. Online. In Rolf Niedermeier, Brigitte Vallee. \textit{STACS 2018}. Nemecko: Dagstuhl, 2018, p.~1-15. ISBN~978-3-95977-062-0. Available from: https://dx.doi.org/10.4230/LIPIcs.STACS.2018.28.
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