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Complexitylib.BooleanAnalysis.MirrorSets.Defs

Density limit points for top-down lower bounds #

Definition 2 of Oliver Korten, Top-Down Lower Bounds for All Depths, ECCC TR26-221 (2026), https://eccc.weizmann.ac.il/report/2026/221/.

def Complexity.BooleanAnalysis.IsDensityLimit {ι : Type u_1} [Fintype ι] [DecidableEq ι] (Y : Finset (ι → Bool)) (p k : ℝ) (x : ι → Bool) :

A (p,k)-limit point of Y: with probability at least 3/4, the rate-p coordinate fiber over x has density at least 2^(-k) in Y.

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