The block sensitivity of a Boolean function at an input
is the largest number of pairwise disjoint sets of coordinates
, each nonempty, such that
for every
, where
reverses the coordinates in
. The block sensitivity of
is
(Virza 2010).
Blocks consisting of singleton sets show that , where
is Boolean function
sensitivity. For example, the disjunction of
inputs has both quantities equal to
at the all-zero input. The sensitivity
conjecture concerns a bound on block sensitivity that is polynomial in
.
The quadratic bound in terms of spectral sensitivity has a reported counterexample (Meiburg 2026).