Characterizing Relevant Belief Revision Operators
Identifieur interne : 007045 ( Main/Exploration ); précédent : 007044; suivant : 007046Characterizing Relevant Belief Revision Operators
Auteurs : Laurent Perrussel [France] ; Jerusa Marchi [Brésil] ; Dongmo Zhang [Australie]Source :
- Lecture Notes in Computer Science [ 0302-9743 ] ; 2011.
English descriptors
- KwdEn :
- Additional constraints, Belief base, Belief change, Belief revision, Belief revision operator, Belief revision operators, Belief sets, Constraint, Dependence relation, Faithful assignment, Implicant, Implicants, Incoming information, Lang, Local revision operator, Makinson, Minimal change, Other words, Parikh, Postulate, Prime implicant, Prime implicant representation, Prime implicants, Prime implicates, Propositional, Propositional symbols, Relevant belief revision, Relevant belief revision operators, Relevant revision, Revision, Revision operator, Revision operators.
- Teeft :
- Additional constraints, Belief base, Belief change, Belief revision, Belief revision operator, Belief revision operators, Belief sets, Constraint, Dependence relation, Faithful assignment, Implicant, Implicants, Incoming information, Lang, Local revision operator, Makinson, Minimal change, Other words, Parikh, Postulate, Prime implicant, Prime implicant representation, Prime implicants, Prime implicates, Propositional, Propositional symbols, Relevant belief revision, Relevant belief revision operators, Relevant revision, Revision, Revision operator, Revision operators.
Abstract
Abstract: This paper introduces a framework for relevant belief revision. We represent agent’s beliefs in prime implicants and express agent’s preference on beliefs as a pre-order over terms. We define a belief revision operator via minimising the change of the prime implicants of the existing beliefs and the incoming information with respect to agent’s preferences. We show that such a belief revision operator satisfies Katsuno and Mendelzon’s postulates for belief revision as well as Parikh’s postulate for relevant revision. This paper demonstrates a natural way to identify relevance of beliefs and an implementation of Parikh’s relevant belief revision.
Url:
DOI: 10.1007/978-3-642-17432-2_5
Affiliations:
- Australie, Brésil, France
- Midi-Pyrénées, Nouvelle-Galles du Sud, Occitanie (région administrative), Santa Catarina
- Sydney, Toulouse
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assignment</term><term>Implicant</term><term>Implicants</term><term>Incoming information</term><term>Lang</term><term>Local revision operator</term><term>Makinson</term><term>Minimal change</term><term>Other words</term><term>Parikh</term><term>Postulate</term><term>Prime implicant</term><term>Prime implicant representation</term><term>Prime implicants</term><term>Prime implicates</term><term>Propositional</term><term>Propositional symbols</term><term>Relevant belief revision</term><term>Relevant belief revision operators</term><term>Relevant revision</term><term>Revision</term><term>Revision operator</term><term>Revision operators</term></keywords><keywords scheme="Teeft" xml:lang="en"><term>Additional constraints</term><term>Belief base</term><term>Belief change</term><term>Belief revision</term><term>Belief revision operator</term><term>Belief revision operators</term><term>Belief sets</term><term>Constraint</term><term>Dependence relation</term><term>Faithful assignment</term><term>Implicant</term><term>Implicants</term><term>Incoming information</term><term>Lang</term><term>Local revision operator</term><term>Makinson</term><term>Minimal change</term><term>Other words</term><term>Parikh</term><term>Postulate</term><term>Prime implicant</term><term>Prime implicant representation</term><term>Prime implicants</term><term>Prime implicates</term><term>Propositional</term><term>Propositional symbols</term><term>Relevant belief revision</term><term>Relevant belief revision operators</term><term>Relevant revision</term><term>Revision</term><term>Revision operator</term><term>Revision operators</term></keywords></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: This paper introduces a framework for relevant belief revision. 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