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module
IndisputableMonolith.RRF.Foundation.SelfReference
domain
RRF
line
90 · github
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IndisputableMonolith.RRF.Foundation.SelfReference on GitHub at line 90.

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  87  description_compiles : TypeCheckResult
  88
  89/-- This file is a MetaRRF. -/
  90def thisFile : MetaRRF := {
  91  subject := currentRRF,
  92  description := { source := "-- RRF Foundation: SelfReference", module := "SelfReference" },
  93  description_compiles := .success
  94}
  95
  96/-! ## Octave Structure of the Formalization -/
  97
  98/-- The formalization is an octave of the RRF.
  99
 100Just as proteins fold in the biological octave,
 101Lean proofs "fold" in the logical octave.
 102-/
 103structure FormalizationAsOctave where
 104  /-- The logical octave. -/
 105  octave_type : String
 106  /-- The strain functional (proof complexity). -/
 107  strain : LeanCode → ℕ  -- Lines of proof, or similar metric
 108  /-- Lower strain = simpler proof = more "elegant". -/
 109  elegance : LeanCode → ℝ
 110
 111/-- The RRF formalization as an octave. -/
 112def rrfFormalizationOctave : FormalizationAsOctave := {
 113  octave_type := "logical",
 114  strain := fun c => c.source.length,  -- Simplistic: length as complexity
 115  elegance := fun c => 1.0 / (c.source.length : ℝ)
 116}
 117
 118
 119/-! ## Fixed Point Structure -/
 120