The algebra of Fourier-dual operations: Logic with exception

In the development of an approach to the implementation of fuzzy logics on neural networks with interconnections via the scheme of Fourier holography, a model of logic with exception is proposed, which is associated with the basic Generalized Modus Ponens rule. The exception is recalled from the associative memory by an inference formed by the basic rule and it modifies the original inference. The results of numerical simulation are based on the experimental data.