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    Algebras of relations and relevance logic

    Mikulás, Szabolcs (2009) Algebras of relations and relevance logic. Journal of Logic and Computation 19 (2), pp. 305-321. ISSN 0955-792X.

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    Abstract

    We prove that algebras of binary relations whose similarity type includes intersection, composition, converse negation and the identity constant form a non-finitely axiomatizable quasivariety and that the equational theory is not finitely based. We apply this result to the problem of the completeness of relevant logic with respect to binary relations.

    Metadata

    Item Type: Article
    Keyword(s) / Subject(s): relevance logic, completeness, De Morgan monoids, relation algebras, finite axiomatizability
    School: Birkbeck Schools and Departments > School of Business, Economics & Informatics > Computer Science and Information Systems
    Depositing User: Administrator
    Date Deposited: 02 Feb 2011 12:08
    Last Modified: 17 Apr 2013 12:18
    URI: http://eprints.bbk.ac.uk/id/eprint/1895

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