Jui-Lin Lee

In this paper we first give a uniform $AC^0$ algorithm which uses

partial sums to compute multiple addition. Then we use it to show

that multiple addition is computable in uniform $TC^0$ by using

$count$ only once sequentially. By constructing bit matrix for

multiple addition, ...
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Jui-Lin Lee

In this paper we give a direct proof of $N_0=N_0^\prime$, i.e., the equivalence of

uniform $NC^1$ based on different recursion principles: one is OR-AND complete

binary tree (in depth $\log n$) and the other is the recursion on notation with value

bounded in $[0,k]$ and $|x|(=n)$ many ...
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