Abstract
The logic of preferential entailment is generalized to the case where the preference ordering is a part of the models, so that axioms can make statements about the preference ordering, and thereby constrain it. The following technique is used: An aggregate is a pair 〈Δ, ≪〉, where Δ is a set of partial interpretations, and ≪ is a preference order on the members of Δ. A monadic propositional operator D (for default) is introduced, where Dα is satisfied in a member J of Δ in an aggregate 〈Δ, ≪〉 iff α is satisfied in all ≪-minimal completions of J in Δ. A number of examples of the use of this semantics are discussed, and it is shown that default rules can be expressed in such ways that the conclusions dictated by common sense are obtained.
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© 1988 Springer-Verlag Berlin Heidelberg
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Sandewall, E. (1988). The semantics of non-monotonic entailment defined using partial interpretations. In: Reinfrank, M., de Kleer, J., Ginsberg, M.L., Sandewall, E. (eds) Non-Monotonic Reasoning. NMR 1988. Lecture Notes in Computer Science, vol 346. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-50701-9_18
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DOI: https://doi.org/10.1007/3-540-50701-9_18
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