Abstract
In default logic, possible sets of conclusions from a default theory are given in terms of extensions of that theory. Each such extension is generated through a set of defaults rules. In this paper, we are concerned with identifying default rules belonging to all sets of default rules generating different extensions. This is interesting from several perspectives. First, it allows for approximating the set of so-called skeptical conclusions of a default theory, that is, those conclusions belonging to all extensions. Second, it provides a technique usable for pre-processing default theories, because such default rules are applicable without knowing nor altering the extensions of the initial theory. The fact that our technique leaves the resulting conclusions unaffected makes it thus applicable as a universal pre-processing tool to all sorts of computational tasks.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
C. Froidevaux and J. Mengin. Default logic: A unified view. Computational Intelligence, 10(3):331–369, 1994.
G. Gottlob. Complexity results for nonmonotonic logics. Journal of Logic and Computation, 2(3):397–425, June 1992.
F. Lévy. Computing extensions of default theories. In R. Kruse and P. Siegel, editors, Proceedings of the European Conference on Symbolic and Quantitative Approaches for Uncertainty, volume 548 of Lecture Notes in Computer Science, pages 219–226. Springer Verlag, 1991.
T. Linke and T. Schaub. An approach to query-answering in reiter’s default logic and the underlying existence of extensions problem. In J. Dix, L. Fariñas del Cerro, and U. Furbach, editors, Logics in Artificial Intelligence, Proceedings of the Sixth European Workshop on Logics in Artificial Intelligence, volume 1489 of Lecture Notes in Artificial Intelligence, pages 233–247. Springer Verlag, 1998.
Th. Linke. New foundations for automation of default reasoning. Dissertation, University of Bielefeld, 1999.
R. Reiter. A logic for default reasoning. Artificial Intelligence, 13(1-2):81–132, 1980.
C. Schwind. A tableaux-based theorem prover for a decidable subset of default logic. In M. Stickel, editor, Proceedings of the Conference on Automated Deduction. Springer Verlag, 1990.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Linke, T., Schaub, T. (1999). On bottom-up pre-processing techniques for automated default reasoning. In: Hunter, A., Parsons, S. (eds) Symbolic and Quantitative Approaches to Reasoning and Uncertainty. ECSQARU 1999. Lecture Notes in Computer Science(), vol 1638. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48747-6_25
Download citation
DOI: https://doi.org/10.1007/3-540-48747-6_25
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66131-3
Online ISBN: 978-3-540-48747-0
eBook Packages: Springer Book Archive