Beyersdorff, O orcid.org/0000-0002-2870-1648, Chew, L, Mahajan, M et al. (1 more author) (2016) Understanding Cutting Planes for QBFs. In: Proceedings of Foundations of Software Technology and Theoretical Computer Science (FSTTCS). 36th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science, 13-15 Dec 2016, Chennai, India. Schloss Dagstuhl – Leibniz-Zentrum für Informatik, Dagstuhl Publishing , pp. 1-15.
Abstract
We define a cutting planes system CP+8red for quantified Boolean formulas (QBF) and analyse the proof-theoretic strength of this new calculus. While in the propositional case, Cutting Planes is of intermediate strength between resolution and Frege, our findings here show that the situation in QBF is slightly more complex: while CP+8red is again weaker than QBF Frege and stronger than the CDCL-based QBF resolution systems Q-Res and QU-Res, it turns out to be incomparable to even the weakest expansion-based QBF resolution system 8Exp+Res. Technically, our results establish the effectiveness of two lower bound
Metadata
Item Type: | Proceedings Paper |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | © Olaf Beyersdorff, Leroy Chew, Meena Mahajan and Anil Shukla; licensed under Creative Commons License CC-BY. |
Keywords: | proof complexity; QBF; cutting planes; resolution; simulations |
Dates: |
|
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 EU - European Union 612638 |
Depositing User: | Symplectic Publications |
Date Deposited: | 05 Dec 2016 12:01 |
Last Modified: | 05 Oct 2017 15:40 |
Published Version: | http://doi.org/10.4230/LIPIcs.FSTTCS.2016 |
Status: | Published |
Publisher: | Schloss Dagstuhl – Leibniz-Zentrum für Informatik, Dagstuhl Publishing |
Identification Number: | 10.4230/LIPIcs.FSTTCS.2016 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:108955 |