Entrenchment-Based Horn Contraction

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Entrenchment-Based Horn Contraction

The AGM framework is the benchmark approach in belief change. Since the framework assumes an underlying logic containing classical Propositional Logic, it can not be applied to systems with a logic weaker than Propositional Logic. To remedy this limitation, several researchers have studied AGM-style contraction and revision under the Horn fragment of Propositional Logic (i.e., Horn logic). In t...

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Model Based Horn Contraction

Following the recent trend of adapting the AGM (Alchourrón and Makinson 1985) framework to propositional Horn logic, Delgrande and Peppas (Delgrande and Peppas 2011) give a model theoretic account for revision in the Horn logic setting. The current paper complements their work by studying the model theoretic approach for contraction. A model based Horn contraction is constructed and shown to gi...

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Definability of Horn Revision from Horn Contraction

In the AGM framework [Alchourrón and Makinson, 1985], a revision function can be defined directly through constructions like systems of spheres, epistemic entrenchment, etc., or indirectly through a contraction operation via the Levi identity. A recent trend is to construct AGM style contraction and revision functions that operate under Horn logic. A direct construction of Horn revision is give...

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Horn Clause Contraction Functions

In classical, AGM-style belief change, it is assumed that the underlying logic contains classical propositional logic. This is clearly a limiting assumption, particularly in Artificial Intelligence. Consequently there has been recent interest in studying belief change in approaches where the full expressivity of classical propositional logic is not obtained. In this paper we investigate belief ...

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There have been a number of publications in recent years on generalising the AGM paradigm to the Horn fragment of propositional logic. Most of them focused on adapting AGM contraction and revision to the Horn setting. It remains an open question whether the adapted Horn contraction and Horn revision are interdefinable as in the AGM case through the Levi and Harper identities. In this paper, we ...

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ژورنال

عنوان ژورنال: Journal of Artificial Intelligence Research

سال: 2014

ISSN: 1076-9757

DOI: 10.1613/jair.4430