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What is Non-Monotonic Logic

Encyclopedia of Artificial Intelligence
A logic that attempts to overcome the restrictions of monotonicity.
Published in Chapter:
Commonsense Knowledge Representation I
Phillip Ein-Dor (Tel-Aviv University, Israel)
Copyright: © 2009 |Pages: 7
DOI: 10.4018/978-1-59904-849-9.ch050
Abstract
Significant advances in artificial intelligence, including machines that play master level chess, or make medical diagnoses, highlight an intriguing paradox. While systems can compete with highly qualified experts in many fields, there has been much less progress in constructing machines that exhibit simple commonsense, the kind expected of any normally intelligent child. As a result, commonsense has been identified as one of the most difficult and important problems in AI (Doyle, 1984; Waltz, 1982).
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Managing Uncertainties in Interactive Systems
A formal logic whose consequence relation is not monotonic. Most studied formal logics have a monotonic consequence relation, meaning that adding a formula to a theory never produces a reduction of its set of consequences. Intuitively, monotonicity indicates that learning a new piece of knowledge cannot reduce the set of what is known. A monotonic logic cannot handle various reasoning tasks such as reasoning by default
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