Enumeration of Threshold Functions of Eight Variables
Open Access
- 1 September 1970
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Computers
- Vol. C-19 (9) , 818-825
- https://doi.org/10.1109/t-c.1970.223046
Abstract
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.Keywords
This publication has 0 references indexed in Scilit: