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Consequences of APSP, triangle detection, and 3SUM hardness for separation between determinism and non-determinism

Published 4 Nov 2020 in cs.CC | (2011.02428v5)

Abstract: We present implications from the known conjectures like APSP, 3SUM and ETH in a form of a negated containment of a linear-time with a non-deterministic logarithmic-bit oracle in a respective deterministic bounded-time class They are different for different conjectures and they exhibit in particular the dependency on the input range parameters.

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