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    Fuzzy Predicate Product Logic and Embeddings of Ordered Abelian Groups

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    No. of downloads: 1350

    Date
    2004-06-24
    Author
    Malekpour, Shirin Minoo
    Advisor
    Laskowski, Michael C
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    Abstract
    We 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.
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    http://hdl.handle.net/1903/1697
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    DRUM is brought to you by the University of Maryland Libraries
    University of Maryland, College Park, MD 20742-7011 (301)314-1328.
    Please send us your comments.
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