Fine-grained reductions from approximate counting to decision

Abstract

The main problems in fine-grained complexity are CNF-SAT, the Orthogonal Vectors problem, 3SUM, and the Negative-Weight Triangle problem (which is closely related to All-Pairs Shortest Path). In this paper, we consider the approximate counting version of each problem; thus instead of simply deciding whether a witness exists, we attempt to (multiplicatively… (More)

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