Representation theorems for complete idempotent left semirings Hitoshi Furusawa Brown and Gurr have shown a relational representation theorem for quantales. Complete idempotent left semirings are 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. Miltirelations are generalisation of relations. We also show a multirelational representation theorem for complete idempotent left semirings.