DHNs with max/sum/mean aggregations correspond to UNFO and extensions with counting quantifiers, enabling decidability analysis for emptiness and subsumption problems.
We have already described how to transform the formula in Point 1 into a GHML− formula that is equivalent over all databases of degree at most B
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Expressive Power of Deep Homomorphism Networks over Relational Databases
DHNs with max/sum/mean aggregations correspond to UNFO and extensions with counting quantifiers, enabling decidability analysis for emptiness and subsumption problems.