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View all- Williams R(2014)Nonuniform ACC Circuit Lower BoundsJournal of the ACM10.1145/255990361:1(1-32)Online publication date: 1-Jan-2014
A zero-one sequence x1,..., xn is k-tonic if the number of i's such that xi ≠ xi+1 is at most k. The notion generalizes well-known bitonic sequences. In negation-limited complexity, one considers circuits with a limited number of NOT gates, being ...
In negation-limited complexity, one considers circuits with a limited number of NOT gates, being motivated by the gap in our understanding of monotone versus general circuit complexity. In this context, the study of inverters, i.e., circuits with inputs ...
We prove that a monotone circuit of size nd recognizing connectivity must have depth $\Omega((\log n)^2/\log d)$. For formulas this implies depth $\Omega((\log n)^2/\log\log n)$. For polynomial-size circuits the bound becomes $\Omega((\log n)^2)$ which ...
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