Distance-based non-deterministic semantics for reasoning with uncertainty
Identifieur interne : 000879 ( Main/Exploration ); précédent : 000878; suivant : 000880Distance-based non-deterministic semantics for reasoning with uncertainty
Auteurs : Ofer Arieli [Israël] ; Anna Zamansky [Israël]Source :
- Logic Journal of IGPL [ 1367-0751 ] ; 2009-08.
Abstract
Non-deterministic matrices, a natural generalization of many-valued matrices, are semantic structures in which the value assigned to a complex formula may be chosen non-deterministically from a given set of options. We show that by combining non-deterministic matrices and distance-based considerations, one obtains a family of logics that are useful for reasoning with uncertainty. These logics are a conservative extension of those that are obtained by standard (i.e., deterministic) distance-based semantics, and so usual distance-based methods (in the context of, e.g., belief revision, information integration, and social choice theory) are easily simulated within our framework. We investigate the basic properties of the distance-preferential non-deterministic logics, consider their application for reasoning with incomplete and inconsistent information, and show the correspondence between some particular entailments in our framework and well-known problems like max-SAT.
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DOI: 10.1093/jigpal/jzp014
Affiliations:
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We show that by combining non-deterministic matrices and distance-based considerations, one obtains a family of logics that are useful for reasoning with uncertainty. These logics are a conservative extension of those that are obtained by standard (i.e., deterministic) distance-based semantics, and so usual distance-based methods (in the context of, e.g., belief revision, information integration, and social choice theory) are easily simulated within our framework. We investigate the basic properties of the distance-preferential non-deterministic logics, consider their application for reasoning with incomplete and inconsistent information, and show the correspondence between some particular entailments in our framework and well-known problems like max-SAT.</div></front></TEI><affiliations><list><country><li>Israël</li></country></list><tree><country name="Israël"><noRegion><name sortKey="Arieli, Ofer" sort="Arieli, Ofer" uniqKey="Arieli O" first="Ofer" last="Arieli">Ofer Arieli</name></noRegion><name sortKey="Arieli, Ofer" sort="Arieli, Ofer" uniqKey="Arieli O" first="Ofer" last="Arieli">Ofer Arieli</name><name sortKey="Zamansky, Anna" sort="Zamansky, Anna" uniqKey="Zamansky A" first="Anna" last="Zamansky">Anna Zamansky</name><name sortKey="Zamansky, Anna" sort="Zamansky, Anna" uniqKey="Zamansky A" first="Anna" last="Zamansky">Anna Zamansky</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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