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    Undecidable relativizations of algebras of relations

    Mikulas, Szabolcs and Marx, M. (1999) Undecidable relativizations of algebras of relations. Journal of Symbolic Logic 64 (2), pp. 747-760. ISSN 0022-4812.

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    In this paper we show that relativized versions of relation set algebras and cylindric set algebras have undecidable equational theories if we include coordinatewise versions of the counting operations into the similarity type. We apply these results to the guarded fragment of first-order logic.


    Item Type: Article
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Sarah Hall
    Date Deposited: 13 Jul 2021 14:53
    Last Modified: 09 Aug 2023 12:51


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