Lean verification registry · Authored proofs · The Logos Architecture

Loop Halting Guarantee

Verified sequents with unresolved formal parts
Axiom-free: true · 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: 2026-10-03T10:40:00.848Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.

Authored source SHA-256: d317154a15be0a16f2474591c1599951ad98b9d245112b7223256dcb541b2125

Lean source · Verification JSON · Exact archived source JSON · Compiler report · Current authored source page · Signed release and verification instructions

Kernel output

Lean (version 4.7.0, commit v4.7.0, Release)
exitCode=0
'HunterAuthored.fuel_iteration_bound' does not depend on any axioms

Source-bound formal statements

fuel_iteration_bound · Kernel-verified · axiom-free

Formal statement: ∀config.maxDepth ∈ ℕ⁺: mcbLoop terminates in ≤ maxDepth iterations

For every total transform, including early stopping, the finite-fuel loop executes at most maxDepth steps. This checks the mathematical counter argument, not termination of uninstrumented external callbacks.

Exact authored source in the timestamped release

Formal statement: ∀config.maxDepth ∈ ℕ⁺: mcbLoop terminates in ≤ maxDepth iterations

Proof: Strictly increasing counter bounded by finite maxDepth