Some contributions to nonmonotonic consequence
Journal of Computer Science and Technology
Graded Similarity-Based Semantics for Nonmonotonic Inferences
Annals of Mathematics and Artificial Intelligence
Ordinal and probabilistic representations of acceptance
Journal of Artificial Intelligence Research
Possibility and necessity functions over non-classical logic
UAI'94 Proceedings of the Tenth international conference on Uncertainty in artificial intelligence
Fundamenta Informaticae
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As Ga¨rdenfors and Makinson have recently shown, a nonmonotonic inference relation can be generated from a total pre-ordering on theset of formulas, or equivalently from an uncertainty valuation. We buildhere on these results; we include the pre-ordering in the language byintroducing a conditional operator, and we extend the generation of anonmonotonic inference relation by allowing the use of incompletelyspecified pre-orderings. This allows effective procedures for computingnonmonotonic inferences by translating nonmonotonic reasoning intodeduction in a conditional logic.—Authors' Abstract