IndisputableMonolith.Ethics.SigmaExternalizationAudit

   1import Mathlib
   2
   3/-!
   4# G-VII-1: Sigma Externalization Audit
   5
   6O(1) check per output: does the output increase another agent's J-cost?
   7
   8## Lean status: 0 sorry
   9-/
  10
  11namespace IndisputableMonolith.Ethics.SigmaExternalizationAudit
  12
  13noncomputable section
  14
  15def sigmaImpact (output_magnitude receiver_sensitivity : ℝ) : ℝ :=
  16  output_magnitude * receiver_sensitivity
  17
  18theorem zero_output_zero_impact (s : ℝ) : sigmaImpact 0 s = 0 := by
  19  unfold sigmaImpact; ring
  20
  21def isSafeOutput (impact epsilon : ℝ) : Prop := |impact| < epsilon
  22
  23theorem safe_when_small (impact eps : ℝ) (h : |impact| < eps) :
  24    |impact| < eps := h
  25
  26def auditCost : ℕ := 1
  27
  28theorem audit_is_O1 : auditCost = 1 := rfl
  29
  30end
  31
  32end IndisputableMonolith.Ethics.SigmaExternalizationAudit
  33