DHNs with max/sum/mean aggregations correspond to UNFO and extensions with counting quantifiers, enabling decidability analysis for emptiness and subsumption problems.
It is routine to verify that φS is a GHML− formula and that it satisfies Condition (a)
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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.