pith. machine review for the scientific record. sign in
structure definition def or abbrev

RecognitionStep

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formal statement (Lean)

 106structure RecognitionStep where
 107  input : LedgerSnapshot
 108  output : LedgerSnapshot
 109  tick_advance : output.tick.index = input.tick.index + 1
 110  defect_reduce : output.defect ≤ input.defect
 111
 112/-- **Theorem**: Recognition is irreversible.
 113    If a step reduces defect from d₁ to d₂ < d₁, there is no step
 114    that goes from d₂ back to d₁ while advancing the tick counter,
 115    because defect is non-increasing along ticks. -/

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