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.
We investigate the power of threshold circuits of small depth. In particular, we give functions that require exponential size unweighted threshold circuits of depth 3 when we restrict the bottom fanin. We also prove that there are monotone functions fk that can be computed in depth k and linear size A, V-circuits but require exponential size to compute by a depth k -1 monotone weighted threshold circuit.
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