Beyersdorff, O orcid.org/0000-0002-2870-1648, Chew, L, Schmidt, RA et al. (1 more author) (2016) Lifting QBF Resolution Calculi to DQBF. In: Theory and Applications of Satisfiability Testing – SAT 2016 ( Lecture Notes in Computer Science ). 19th International Conference on Theory and Applications of Satisfiability Testing, 05-08 Jul 2016, Bordeaux, France. Springer Verlag , pp. 490-499. ISBN 978-3-319-40969-6
Abstract
We examine the existing resolution systems for quantified Boolean formulas (QBF) and answer the question which of these calculi can be lifted to the more powerful Dependency QBFs (DQBF). An interesting picture emerges: While for QBF we have the strict chain of proof systems Q-Res < IR-calc < IRM-calc, the situation is quite different in DQBF. Q-Res and likewise universal resolution are too weak: they are not complete. IR-calc has the right strength: it is sound and complete. IRM-calc is too strong: it is not sound any more, and the same applies to long-distance resolution. Conceptually, we use the relation of DQBF to EPR and explain our new DQBF calculus based on IR-calc as a subsystem of first-order resolution
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Springer International Publishing Switzerland 2016. This is an author produced version of a conference paper published in Lecture Notes in Computer Science. Uploaded in accordance with the publisher's self-archiving policy. The final publication is available at Springer via https://dx.doi.org/10.1007/978-3-319-40970-2_30. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) > Institute for Computational and Systems Science (Leeds) |
Funding Information: | Funder Grant number EPSRC EP/L024233/1 John Templeton Foundation - DO NOT USE 48138 |
Depositing User: | Symplectic Publications |
Date Deposited: | 08 Apr 2016 13:35 |
Last Modified: | 01 Nov 2016 22:41 |
Published Version: | https://dx.doi.org/10.1007/978-3-319-40970-2_30 |
Status: | Published |
Publisher: | Springer Verlag |
Identification Number: | 10.1007/978-3-319-40970-2_30 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:98004 |