Rational-weight ReLU neural networks and certain polynomial rings with ReLU are characterized as formulas in Rational Pavelka Logic and fragments of LΠ1/2.
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 certain polynomial rings with ReLU are characterized as formulas in Rational Pavelka Logic and fragments of LΠ1/2.