Gate model networks for minimization of multiple-valued logic functions

The use of gate model networks as a logic minimization method for multiple-valued logic functions is proposed. The gate model network is a kind of neural network constructed like and AND-OR two-level circuits using two gate models: an AND type gate model and an OR type gate model. The backpropagation (BP) method is used to train the network until it realizes the minimal solution. A solution is derived from the weights and thresholds. The gate model networks are applied to binary AND-OR circuit minimization and to the multiple-value max-of-min's expression minimization. It is shown that the gate model network is also applicable to minimize multiple-valued sum-of-products expressions, where sum refers to TSUM.<<ETX>>

[1]  David Lawrence Johannsen Silicon compilation , 1989 .

[2]  Masayuki Matsumoto,et al.  A design of multiple-valued logic neuron , 1990, Proceedings of the Twentieth International Symposium on Multiple-Valued Logic.

[3]  Masayuki Matsumoto,et al.  Layered MVL neural networks capable of recognizing translated characters , 1992, [1992] Proceedings The Twenty-Second International Symposium on Multiple-Valued Logic.

[4]  Tsutomu Sasao On the Optimal Design of Multiple-Valued PLA's , 1989, IEEE Trans. Computers.