On the power of small-depth threshold circuits

J. Hastad, M. Goldmann
Proceedings [1990] 31st Annual Symposium on Foundations of Computer Science  
We investigate the power of threshold circuits of small depth. In particular we give functions which require exponential size unweigted threshold circuits of depth 3 when we restrict the bottom fanin. We also prove that there are m o n e tone functions fk which can be computed in depth k and linear size A, V-circuits but require exponential size t o compute by a depth k -1 monotone weighted threshold circuit.
doi:10.1109/fscs.1990.89582 dblp:conf/focs/HastadG90 fatcat:jncq2q3w75ab5p44ganrygqdte