The Online Boolean Matrix-Vector Multiplication Conjecture

Prove or refute that for every epsilon > 0 there is no randomized algorithm which, given an n by n Boolean matrix and then n Boolean query vectors one at a time, outputs each Boolean-semiring product before receiving the next vector in total time O(n^(3-epsilon)) with error probability at most 1/3.

Source: Kasper Green Larsen and Ryan Williams, Faster Online Matrix-Vector Multiplication, arXiv:1605.01695v2 (2016), Conjecture 1.1..

Status Open Status review date not recorded in this edition

Listed by ProofAtlas. Status qualification is attributed to ProofAtlas; no full resolution is certified here.

References

Primary source

ProofAtlas open problems; Kasper Green Larsen and Ryan Williams, Faster Online Matrix-Vector Multiplication, arXiv:1605.01695v2 (2016), Conjecture 1.1.

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