BDD-based decision procedures for modal logic K

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dc.contributor.advisorVardi, Moshe Y.en_US
dc.creatorPan, Guoqiangen_US
dc.date.accessioned2009-06-04T06:30:25Zen_US
dc.date.available2009-06-04T06:30:25Zen_US
dc.date.issued2003en_US
dc.description.abstractWe describe BDD-based decision procedures for K . Our approach is inspired by the automata-theoretic approach, but we avoid explicit automata construction. Our algorithms compute the fixpoint of a set of types, which are sets of formulas satisfying some consistency conditions. We use BDDs to represent and manipulate such sets. By viewing the sets of types as symbolic encoding of all possible models of a formula, we developed particle-based and lean-vector-based representation techniques which gives more compact representations. By taking advantage of the finite-tree-model property of K , we introduced a level-based evaluation scheme to speed up construction and reduce memory consumption. We also studied the effect of formula simplification on the decision procedures. As part of the benching procedure, we compared the BDD-based approach with a representative selection of current approaches, as well as developing an algorithm to translate K to QBF based on our decision procedure. Experimental results show that the BDD-based approach dominates for modally heavy formulas, while search-based approaches dominate for propositionally-heavy formulas.en_US
dc.format.extent67 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS COMP.SCI. 2003 PANen_US
dc.identifier.citationPan, Guoqiang. "BDD-based decision procedures for modal logic K." (2003) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/17614">https://hdl.handle.net/1911/17614</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/17614en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectMathematicsen_US
dc.subjectComputer scienceen_US
dc.titleBDD-based decision procedures for modal logic Ken_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentComputer Scienceen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Scienceen_US
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