Ruiwen Chen

We give a \#SAT algorithm for boolean formulas over arbitrary finite bases. Let $B_k$ be the basis composed of all boolean functions on at most $k$ inputs. For $B_k$-formulas on $n$ inputs of size $cn$, our algorithm runs in time $2^{n(1-\delta_{c,k})}$ for $\delta_{c,k} = c^{-O(c^2k2^k)}$. We also show the average-case ... more >>>

Eshan Chattopadhyay, Jyun-Jie Liao

In a recent work, Gryaznov, Pudlák and Talebanfard (CCC '22) introduced a linear variant of read-once

branching programs, with motivations from circuit and proof complexity. Such a read-once linear branching program is

a branching program where each node is allowed to make $\mathbb{F}_2$-linear queries, and are read-once in the ...
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