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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Official URL: https://doi.org/10.2307/2586497

Abstract

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.

Metadata

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
URI:	https://eprints.bbk.ac.uk/id/eprint/45084

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