Beyersdorff, O, Meier, A, Mueller, S et al. (2 more authors) (2010) Proof Complexity of Propositional Default Logic. In: Strichman, O and Szeider, S, (eds.) Theory and applications of satisfiability testing. SAT 2010, 11-14 Jul 2010, Edinburgh, UK. Lecture notes in computer science, 6175 . Springer Verlag , 30 - 43 . ISBN 978-3-642-14185-0
Abstract
Default logic is one of the most popular and successful formalisms for non-monotonic reasoning. In 2002, Bonatti and Olivetti introduced several sequent calculi for credulous and skeptical reasoning in propositional default logic. In this paper we examine these calculi from a proof-complexity perspective. In particular, we show that the calculus for credulous reasoning obeys almost the same bounds on the proof size as Gentzen’s system LK. Hence proving lower bounds for credulous reasoning will be as hard as proving lower bounds for LK. On the other hand, we show an exponential lower bound to the proof size in Bonatti and Olivetti’s enhanced calculus for skeptical default reasoning.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Editors: |
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Copyright, Publisher and Additional Information: | © 2010, Springer Verlag. This is an author produced version of a paper published in Theory and applications of satisfiability testing. Uploaded in accordance with the publisher's self-archiving policy. The original publication is available at www.springerlink.com |
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) |
Depositing User: | Symplectic Publications |
Date Deposited: | 13 Dec 2012 12:17 |
Last Modified: | 19 Dec 2022 13:24 |
Published Version: | http://dx.doi.org/10.1007/978-3-642-14186-7_5 |
Status: | Published |
Publisher: | Springer Verlag |
Series Name: | Lecture notes in computer science |
Identification Number: | 10.1007/978-3-642-14186-7_5 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:74805 |