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

11/04/2020
by   Andrzej Lingas, et al.
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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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