recognition /
Complexity /
Complexity.SAT.SmallBias /
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formal statement (Lean)
10 structure SmallBiasFamily where
11 𝓗 : (n : Nat) → List (XORSystem n)
12
13 /-- Intended property: the family size is polynomial and approximates pairwise-independence.
14 Note: We use n.succ to avoid n=0 edge cases; this is still O(n^k). -/
used by (3)
From the project-wide theorem graph. These declarations reference this one in their body.
geoSmallBias
in IndisputableMonolith.Complexity.SAT.GeoFamily
decl_use
HasPolySize
in IndisputableMonolith.Complexity.SAT.SmallBias
decl_use
linearSmallBias
in IndisputableMonolith.Complexity.SAT.SmallBias
decl_use
depends on (8)
Lean names referenced from this declaration's body.
XORSystem
in IndisputableMonolith.Complexity.SAT.XOR
decl_use
succ
in IndisputableMonolith.Foundation.ArithmeticFromLogic
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
and
in IndisputableMonolith.NumberTheory.CirclePhaseLift
decl_use
succ
in IndisputableMonolith.RRF.Core.Vantage
decl_use