Rational-weight ReLU neural networks and generalized polynomial rings are characterized as formulas in RPL, RPL(⊙)≤1, and fragments of LΠ1/2 logic.
LogicalCharacterizationsofGNNswithMeanAg- gregation.Proceedings of the AAAI Conference on Artificial Intelligence, 40(30):25218– 25225, Mar
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Neural networks as fuzzy logic formulas
Rational-weight ReLU neural networks and generalized polynomial rings are characterized as formulas in RPL, RPL(⊙)≤1, and fragments of LΠ1/2 logic.