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Moinard, Yves
Linking Makinson and Kraus-Lehmann-Magidor preferential entailments
, ECAI'2002 (European Conference on Artificial Intelligence)
, IOS Press, Amsterdam
, Lyon
, 531-535
, jul
, 2002
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Abstract
Twelve years ago, various notions of preferential entailment
have been introduced.
The main reference is a paper by
Kraus, Lehmann and Magidor (KLM), one of the
main competitor being a
more general version defined by Makinson (MAK).
These two versions have already been compared, but
it is time to revisit these comparisons. Here are our main results:
(1) These two notions are
equivalent, provided that we restrict our attention, as done in KLM,
to the cases where the entailment respects logical equivalence (on the left
and on the right).
(2) A serious simplification of the description of the fundamental cases
in which MAK is equivalent to KLM, including a natural passage
in both ways.
(3) The two previous results are given for preferential entailments more
general
than considered in some texts, but they apply
also to the original definitions and, for this particular case also, the
models can be simplified.
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