Rational-weight ReLU neural networks and generalized polynomial rings are characterized as formulas in RPL, RPL(⊙)≤1, and fragments of LΠ1/2 logic.
On Product Logic with Truth-constants.Journal of Logic and Computation, 16(2):205– 225
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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.