Abstract
Defeasible logic is a logic-programming based nonmonotonic reasoning formalism which has an efficient implementation. It makes use of facts, strict rules, defeasible rules, defeaters, and a superiority relation. We clarify the proof theory of defeasible logic through an analysis of the conclusions it can draw. Using it, we show that defeaters do not add to the expressiveness of defeasible logic, among other results. The analysis also supports the restriction of defeasible logic to admit only acyclic superiority relations.
Preview
Unable to display preview. Download preview PDF.
References
G. Antoniou. Nonmonotonic Reasoning. MIT Press 1997.
G. Antoniou, D. Billington and M.J. Maher. Normal Forms for Defeasible Logic. In Proc. Joint International Conference and Symposium on Logic Programming 1998, MIT Press 1998 (accepted).
D. Billington. Defeasible Logic is Stable. Journal of Logic and Computation 3 (1993): 370–400.
M.A. Covington, D. Nute and A. Vellino. Prolog Programming in Depth. Prentice Hall 1997.
B.N. Grosof. Prioritized Conflict Handling for Logic Programs. In: Proc. Int. Logic Programming Symposium, J. Maluszynski (Ed.), 197–211. MIT Press, 1997.
V. Marek and M. Truszczynski. Nonmonotonic Logic, Springer 1993.
D. Nute. Defeasible Reasoning. In Proc. 20th Hawaii International Conference on Systems Science, IEEE press 1987, 470–477.
D. Nute. Defeasible Logic. In D.M. Gabbay, C.J. Hogger and J.A. Robinson (eds.): Handbook of Logic in Artificial Intelligence and Logic Programming Vol. 3, Oxford University Press 1994, 353–395.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1998 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Maher, M.J., Antoniou, G., Billington, D. (1998). A study of provability in defeasible logic. In: Antoniou, G., Slaney, J. (eds) Advanced Topics in Artificial Intelligence. AI 1998. Lecture Notes in Computer Science, vol 1502. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0095054
Download citation
DOI: https://doi.org/10.1007/BFb0095054
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-65138-3
Online ISBN: 978-3-540-49561-1
eBook Packages: Springer Book Archive