Hitoshi Furusawa ; Walter Guttmann
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Cardinality and Representation of Stone Relation Algebras
fi:12347 -
Fundamenta Informaticae,
February 6, 2026,
Volume 195, Issues 1-4: Relational and Algebraic Methods in Computer Science 2024
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https://doi.org/10.46298/fi.12347Cardinality and Representation of Stone Relation AlgebrasArticle
Authors: Hitoshi Furusawa ; Walter Guttmann
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Hitoshi Furusawa;Walter Guttmann
Previous work has axiomatised the cardinality operation in relation algebras, which counts the number of edges of an unweighted graph. We generalise the cardinality axioms to Stone relation algebras, which model weighted graphs, and study the relationships between various axioms for cardinality. This results in simpler cardinality axioms also for relation algebras. We give sufficient conditions for the representability of Stone relation algebras and for Stone relation algebras to be relation algebras.
added explanations
Volume: Volume 195, Issues 1-4: Relational and Algebraic Methods in Computer Science 2024
Published on: February 6, 2026
Accepted on: August 8, 2024
Submitted on: September 29, 2023
Keywords: Logic in Computer Science, Logic, F.4.1