OpenAI reports a superquadratic sensitivity separation

There are total Boolean functions with unbounded block sensitivity divided by sensitivity squared; in particular, a fixed exponent α>2 holds along a sequence with unbounded block sensitivity.

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Understanding the problem

Read the background

There are total Boolean functions with unbounded block sensitivity divided by sensitivity squared; in particular, a fixed exponent α>2 holds along a sequence with unbounded block sensitivity.

Why it matters

If correct, disproves the quadratic strengthening of the Sensitivity Conjecture for total Boolean functions.

What counts as progress

Is block sensitivity universally bounded by a constant times sensitivity squared?

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