Abstract
We introduce a ranking construction semantics for graded defaults, formulate the principles of the minimal construction philosophy, from which we derive a preference order over ranking constructions. It defines a powerful rational default inference notion, JLX-entailment, which we are going to compare with system JZ.
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References
R. Bourne, S. Parsons. Maximum entropy and variable strength defaults. In Proc. of IJCAI 99. Morgan Kaufmann, 1999.
M. Goldszmidt, P. Morris, J. Pearl. A maximum entropy approach to nonmonotonic reasoning. IEEE Transactions of Pattern Analysis and Machine Intelligence, 15:220–232, 1993.
D. Dubois, H. Prade. Possibility Theory. Plenum Press, New York 1988.
H. Geffner, J. Pearl. Conditional entailment: bridging two approaches to default reasoning. In Artificial Intelligence, 53: 209–244, 1992.
G. Kern-Isberner. Conditionals in nonmonotonic reasoning and belief revision. Springer LNAI, 2001.
S. Kraus, D. Lehmann, M. Magidor. Nonmonotonic reasoning, preferential models and cumulative logics. Artificial Intelligence, 44:167–207, 1990.
D. Lehmann. Another perspective on default reasoning. Annals of Mathematics and Artificial Intelligence: 15(1), 1995.
D. Lehmann, M. Magidor. What does a conditional knowledge base entail? Artificial Intelligence 55:1–60, 1992.
J. Pearl. System Z: a natural ordering of defaults with tractable applications to nonmonotonic reasoning. In Proc. of the Third Conference on Theoretical Aspects of Reasoning about Knowledge. Morgan Kaufmann, 1990.
W. Spohn. Ordinal conditional functions: a dynamic theory of epistemic states. In Causation in Decision, Belief Change, and Statistics, W.L. Harper, B. Skyrms (eds.), Kluwer, 1988.
W. Spohn. A general non-probabilistic theory of inductive reasoning. In Uncertainty in Artificial Intelligence 4, North-Holland, 1990.
E. Weydert. Defaults and infinitesimals. Defeasible inference by non-archimdean entropy maximization. In Proc. of UIA 95. Morgan Kaufmann, 1995.
E. Weydert. System J-Revision entailment. In Proc. of FAPR 96, Springer, 1996.
E. Weydert. System JZ-How to build a canonical ranking model of a default knowledge base. In Proc. of KR 98. Morgan Kaufmann, 1998.
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© 2001 Springer-Verlag Berlin Heidelberg
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Weydert, E. (2001). Rankings We Prefer. In: Benferhat, S., Besnard, P. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2001. Lecture Notes in Computer Science(), vol 2143. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44652-4_54
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DOI: https://doi.org/10.1007/3-540-44652-4_54
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