Issue No.09 - September (1970 vol.19)
S. Muroga , IEEE
The number of threshold functions of eight variables is counted by ILLIAC II, the computer of the University of Illinois. Sets of optimum weights of majority elements realizing these functions also are investigated. Actually, canonical positive self-dual threshold functions of nine variables are investigated instead of directly investigating threshold functions of eight variables because it is easier to deal with them. The number and optimum weights of threshold functions of eight variables are easily obtained from these functions of nine variables and their realization.
Completely monotonic functions, enumeration of threshold functions, linear programming, optimum structure, switching theory, threshold logic.
T. Tsuboi, S. Muroga, "Enumeration of Threshold Functions of Eight Variables", IEEE Transactions on Computers, vol.19, no. 9, pp. 818-825, September 1970, doi:10.1109/T-C.1970.223046