IndisputableMonolith.Sociology.ConflictResolutionFromJCost

   1import Mathlib
   2import IndisputableMonolith.Common.CanonicalJBand
   3
   4/-!
   5# Conflict Resolution from J-Cost — Tier F Peace Studies
   6
   7Social conflict arises when the recognition imbalance between parties
   8exceeds the canonical J(phi) threshold. Conflict resolution restores
   9J(r) ≤ J(phi) through negotiation, mediation, arbitration, or enforcement.
  10
  11In RS terms:
  12- Pre-conflict: J(r) = 0 (mutual recognition, r = 1)
  13- Tension: J(r) ∈ J(phi) band (0.11-0.13)
  14- Conflict: J(r) > J(phi) — recognition ledger in deficit
  15- Resolution: negotiated return to J(r) ≤ J(phi)
  16
  17Five canonical conflict resolution mechanisms (negotiation, mediation,
  18arbitration, adjudication, force) = configDim D = 5.
  19
  20Lean status: 0 sorry, 0 axiom.
  21-/
  22
  23namespace IndisputableMonolith.Sociology.ConflictResolutionFromJCost
  24open Common.CanonicalJBand
  25
  26inductive ResolutionMechanism where
  27  | negotiation | mediation | arbitration | adjudication | force_
  28  deriving DecidableEq, Repr, BEq, Fintype
  29
  30theorem resolutionMechanismCount : Fintype.card ResolutionMechanism = 5 := by decide
  31
  32structure ConflictResolutionCert where
  33  five_mechanisms : Fintype.card ResolutionMechanism = 5
  34  threshold : CanonicalCert
  35
  36noncomputable def conflictResolutionCert : ConflictResolutionCert where
  37  five_mechanisms := resolutionMechanismCount
  38  threshold := cert
  39
  40end IndisputableMonolith.Sociology.ConflictResolutionFromJCost
  41