Abstract:Comparator circuits are a natural circuit model for studying bounded fan-out computation whose power sits between nondeterministic branching programs and general circuits. Despite having been studied for nearly three decades, the first superlinear lower bound against comparator circuits was proved only recently by Gál and Robere (ITCS 2020), who established a Ω (n/ log n) 1.5 lower bound on the size of comparator circuits computing an explicit function of n bits.In this paper, we initiate the study of average-… Show more
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