Issue No.12 - December (1971 vol.20)
C.R. Baugh , IEEE
Upper and lower bounds are derived for the number of pseudothreshold functions of n variables. (Pseudothershold logic is a generalization of threshold logic.) It is shown that a lower bound on the number of pseudothreshold functions P(n) of exactly n variables realized by zero-free structures is The number of pseudothreshold functions Q(n) of n variables realized by nontrivial structures is bounded by It is also proven that is a lower bound on the number of positive functions of exactly n variables.
Bounds, positive functions, pseudothreshold functions, separable functions, threshold functions, threshold logic.
C.R. Baugh, "Bounds on the Number of Pseudothreshold Functions", IEEE Transactions on Computers, vol.20, no. 12, pp. 1602-1605, December 1971, doi:10.1109/T-C.1971.223181