Theoretical computer science · Oct 6, 2026

A superquadratic separation of sensitivity and block sensitivity

Constructs total Boolean functions with block sensitivity bs(f)≥s(f)α\mathop{\mathrm{bs}}\nolimits (f)\ge s(f)^\alpha for a fixed α > 2, disproving the quadratic strengthening of the Sensitivity Conjecture. Here s(f)s(f) counts influential individual-bit flips, while block sensitivity allows disjoint groups of bits to change together.

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