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Dalal's Revision without Hamming Distance

Pozos Parra, Pilar and Liu, Weiru and Perrussel, Laurent Dalal's Revision without Hamming Distance. (2013) In: 12th Mexican International Conference on Artificial Intelligence (MICAI 2013), 24 November 2013 - 30 November 2013 (Mexico City, Mexico).

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Official URL: http://dx.doi.org/10.1007/978-3-642-45114-0_4

Abstract

A well known strategy for belief revision is the use of an operator which takes as input a belief base and formula and outputs a new consistent revised belief base. Many operators require additional information such as epistemic entrenchment relations, system of spheres, faithful orderings, subformulae relation, etc. However, in many applications this extra information does not exist and all beliefs have to be equally considered. Other operators that can do without background information are dependent on the syntax. Among the few operators that possess both kinds of independence: of extra information and of the syntax, Dalal’s operator is the most outstanding. Dalal’s revision moves from the models of the base to the models of the input formula which are closest in terms of Hamming distance. A drawback of Dalal’s approach is that it fails when faced with inconsistent belief bases. This paper proposes a new method for computing Dalal’s revision that avoids the computation of belief bases models. We propose a new distance between formulae based on distances between terms of formulae in DNF and a revision operator based on these distances. The proposed operator produces Dalal’s equivalent results when the belief base and new input are both consistent. Moreover, this new operator is able to handle inconsistent belief bases. We also analyze several properties of the new operator. While the input belief base and formula need a compilation to DNF, the operator meets desirable properties making the approach suitable for implementation.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to Springer editor. This papers appears in Volume 8265 Lecture Notes in Computer Science ISSN 0302-9743 ISBN: 978-3-642-45113-3 The original PDF is available at : http://link.springer.com/chapter/10.1007%2F978-3-642-45114-0_4
HAL Id:hal-01178556
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Other partners > Universidad Juárez Autónoma de Tabasco - UJAT (MEXICO)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Queen's University Belfast - QUB (UNITED KINGDOM)
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Deposited On:01 Jul 2015 09:56

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