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Published in:
2010 | OriginalPaper | Chapter
A Nonmonotonic Extension of KLM Preferential Logic P
Authors : Laura Giordano, Valentina Gliozzi, Nicola Olivetti, Gian Luca Pozzato
Published in: Logic for Programming, Artificial Intelligence, and Reasoning
Publisher: Springer Berlin Heidelberg
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In this paper, we propose the logic P
min
, which is a nonmonotonic extension of Preferential logic P defined by Kraus, Lehmann and Magidor (KLM). In order to perform nonmonotonic inferences, we define a “minimal model” semantics. Given a modal interpretation of a minimal
A
-world as
A
∧ □¬
A
, the intuition is that preferred, or minimal models are those that minimize the number of worlds where ¬□¬
A
holds, that is of
A
-worlds which are not minimal. We also present a tableau calculus for deciding entailment in P
min
.