Lean verification registry · Authored proofs · The Logos Architecture
Verified sequents with unresolved formal parts
Axiom-free: false · 1 checked theorem statements.
Lean establishes the listed formal statements and dependencies. The exact authored source, Ground, known premise meanings, application validation and empirical evidence remain separately typed. No unencoded section is certified by a neighboring theorem.
Original source author: Maclain Hunter. Machine formalization: Replit Agent. No original wording was rewritten.
Source registered: not established (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:37:47.768Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: fa7c5ceb217e2f4d8d2f399c22f7113b457ac6778b140edfb8be1874410b9201
Lean source · Verification JSON · Exact archived source JSON · Compiler report · Current authored source page · Signed release and verification instructions
Lean (version 4.7.0, commit v4.7.0, Release) exitCode=0 'HunterAuthored.finite_fixed_point_clamp_bounds' depends on axioms: [Classical.choice, propext, Quot.sound]
{
"name": "Coherence Score Bounds",
"formal": "∀array ∈ MCBExponent[]: exponentCoherence(array) ∈ [0, 1]",
"proof": "Standard deviation of binary values bounded by 0.5",
"implementation": "exponentCoherence(array: MCBExponentArray): number"
}
The source's clamp stage on every finite fixed-point/rational representation with a positive denominator: numerator lies between 0 and the denominator, hence the normalized score lies in [0,1]. Variance computation, nonfinite floating values and the current host binding are not certified by this clamp theorem.
{
"name": "Coherence Score Bounds",
"formal": "∀array ∈ MCBExponent[]: exponentCoherence(array) ∈ [0, 1]",
"proof": "Standard deviation of binary values bounded by 0.5",
"implementation": "exponentCoherence(array: MCBExponentArray): number"
}