Beyersdorff, O orcid.org/0000-0002-2870-1648 and Chew, L (2014) The complexity of theorem proving in circumscription and minimal entailment. In: Demri, S, Kapur, D and Weidenbach, C, (eds.) Automated Reasoning 7th International Joint Conference, IJCAR 2014, Held as Part of the Vienna Summer of Logic, VSL 2014, Proceedings. 7th International Joint Conference, IJCAR 2014, 19-22 Jul 2014, Vienna, Austria. Lecture Notes in Computer Science , 8562 L . Springer , pp. 403-417. ISBN 978-3-319-08586-9
Abstract
We provide the first comprehensive proof-complexity analysis of different proof systems for propositional circumscription. In particular, we investigate two sequent-style calculi: MLK defined by Olivetti [28] and CIRC introduced by Bonatti and Olivetti [8], and the tableaux calculus NTAB suggested by Niemelä [26]. In our analysis we obtain exponential lower bounds for the proof size in NTAB and CIRC and show a polynomial simulation of CIRC by MLK. This yields a chain NTAB < CIRC < MLK of proof systems for circumscription of strictly increasing strength with respect to lengths of proofs.
Metadata
Item Type: | Proceedings Paper |
---|---|
Authors/Creators: |
|
Editors: |
|
Copyright, Publisher and Additional Information: | © 2014, Springer. This is an author produced version of a paper published in Automated Reasoning 7th International Joint Conference (Lecture notes in computer science). Uploaded in accordance with the publisher's self-archiving policy. The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-08587-6_32 |
Dates: |
|
Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 16 Oct 2014 09:49 |
Last Modified: | 12 Apr 2019 14:32 |
Published Version: | http://dx.doi.org/10.1007/978-3-319-08587-6_32 |
Status: | Published |
Publisher: | Springer |
Series Name: | Lecture Notes in Computer Science |
Refereed: | Yes |
Identification Number: | 10.1007/978-3-319-08587-6_32 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:80489 |