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Fuzzy Predicate Product Logic and Embeddings of Ordered Abelian Groups

dc.contributor.advisorLaskowski, Michael Cen_US
dc.contributor.authorMalekpour, Shirin Minooen_US
dc.date.accessioned2004-07-16T05:20:54Z
dc.date.available2004-07-16T05:20:54Z
dc.date.issued2004-06-24en_US
dc.identifier.urihttp://hdl.handle.net/1903/1697
dc.description.abstractWe show the embedding provided by the Hahn Embedding Theorem of an ordered Abelian group into a lexicographic functions space is coinitiality preserving. From this we strengthen Hajek's Completeness theorem for predicate product logic. We conclude that the set of tautologies for a lexicographic function space over a set S which is not initially scattered is recursively enumerable. By contrast we conclude that the set of tautologies for a lexicographic function space over a set S which is initially scattered is not arithmetical.en_US
dc.format.extent448301 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.titleFuzzy Predicate Product Logic and Embeddings of Ordered Abelian Groupsen_US
dc.typeDissertationen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.contributor.departmentMathematicsen_US
dc.subject.pqcontrolledMathematicsen_US
dc.subject.pquncontrolledFuzzy Prediacte Product Logicen_US
dc.subject.pquncontrolledInitially scattereden_US
dc.subject.pquncontrolledCoinitiality preservingen_US
dc.subject.pquncontrolledOrdered Abelian Groupsen_US


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