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Monotone Circuits for Weighted Threshold Functions
20th Annual IEEE Conference on Computational Complexity (CCC'05)
Weighted threshold functions with positive weights are a natural generalization of unweighted threshold functions. These functions are clearly monotone. However, the naive way of computing them is adding the weights of the satisfied variables and checking if the sum is greater than the threshold; this algorithm is inherently non-monotone since addition is a non-monotone function. In this work we bypass this addition step and construct a polynomial size logarithmic depth unbounded fan-in
doi:10.1109/ccc.2005.12
dblp:conf/coco/BeimelW05
fatcat:wm3ww5lewfccfa24tilvq3ikhy