LockPhasePrediction

formal source

  97    ((ticks t).get ⟨i, hi⟩).next = (ticks t).get ⟨next_i, hn⟩
  98
  99/-- Prediction obligation: LOCK phases should show structural change. -/
 100structure LockPhasePrediction (Event : Type*) where
 101  /-- Metric for structural change. -/
 102  structuralChange : Event → ℝ
 103  /-- LOCK phases have higher structural change. -/
 104  lock_higher : ∀ (trace : TickedTrace Event) (i j : Fin trace.events.length),
 105    (trace.phase i).isLock → (trace.phase j).isBalance →
 106    structuralChange (trace.events[i]) ≥ structuralChange (trace.events[j])
 107
 108/-! ## Falsification Interface -/
 109
 110/-- A falsification witness: a trace where 8-tick doesn't work. -/
 111structure EightTickFalsifier (Event : Type*) where
 112  /-- The observed trace. -/
 113  trace : List Event
 114  /-- The optimal periodicity (not 8). -/
 115  optimalPeriod : ℕ
 116  /-- The optimal period is not 8. -/
 117  not_eight : optimalPeriod ≠ 8
 118  /-- Evidence that this period works better (abstract). -/
 119  works_better : True  -- Placeholder for a concrete metric
 120
 121/-- Alternative: 4-tick (half cycle) or 16-tick (double cycle) might also work. -/
 122def validAlternativePeriods : List ℕ := [4, 8, 16]
 123
 124/-- If a falsifier exists with period outside valid alternatives, it's strong evidence. -/
 125def strongFalsifier (E : Type*) (f : EightTickFalsifier E) : Prop :=
 126  f.optimalPeriod ∉ validAlternativePeriods
 127
 128end RRF.Hypotheses
 129end IndisputableMonolith