Brown and Gurr have shown a relational representation theorem for quantales. Complete idempotent left semirings are a relaxation of quantales by giving up strictness and distributivity of composition over arbitrary joins from the left. We show a relational representation theorem for them. Multirelations are generalisation of relations. We also show a multirelational representation theorem for complete idempotent left semirings. © 2011 Springer-Verlag.
CITATION STYLE
Furusawa, H., & Nishizawa, K. (2011). Relational and multirelational representation theorems for complete idempotent left semirings. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6663 LNCS, pp. 148–163). https://doi.org/10.1007/978-3-642-21070-9_13
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