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chore(align): sync locked-8 merged files (STATUS, console, corpus README, a11oy_code_engine) byte-identical to GitHub main
Browse files- STATUS.md +5 -3
- corpus/lean/lutar-lean__README.md +8 -8
STATUS.md
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@@ -15,8 +15,10 @@ HF Space: <https://huggingface.co/spaces/SZLHOLDINGS/a11oy>
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## Proof state (honest, never inflate)
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- **LOCKED-PROVEN (kernel-verified) = EXACTLY
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(749 / 14 / 163). This is the *only* "locked" claim. Never fold anything else in.
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- **Λ (F23)** — unconditional uniqueness is machine-checked **FALSE** for A1–A5, so it stays
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**Conjecture 1**, unconditionally. We *have* proved the strongest axiom-free **conditional**
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uniqueness: slice-multiplicativity (separability) ⇒ Λ, machine-checked (Wave12), and as of
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`(C-order)` gap-shift ordering remains an **honest structural hypothesis** (documented, not faked).
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- **Khipu Byzantine BFT safety** — **Conjecture 2**, open (a faulty organ can equivocate).
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## Experimental · CI-green tier (separate from the locked
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- `main @ 880c803e` — Wave19 / 20 / 21 merged; Phase-1 stabilize gate cleared; CI
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(`lake build + numbers` + DCO + doctrine) green on main.
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## Proof state (honest, never inflate)
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- **LOCKED-PROVEN (kernel-verified) = EXACTLY 8** — F1, F4, F7, F11, F12, F18, F19, F22 @ `c7c0ba17`
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(749 / 14 / 163). This is the *only* "locked" claim. Never fold anything else in. (Grew from 5 to 8 on
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2026-06-10 when F4/F7 were upgraded from vacuous placeholders to genuine non-vacuous proofs, joining
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the already-genuine F22; machine-enforced by `Lutar.Wave8.AxiomDisclosure.locked_count_eight`, no axioms.)
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- **Λ (F23)** — unconditional uniqueness is machine-checked **FALSE** for A1–A5, so it stays
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**Conjecture 1**, unconditionally. We *have* proved the strongest axiom-free **conditional**
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uniqueness: slice-multiplicativity (separability) ⇒ Λ, machine-checked (Wave12), and as of
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`(C-order)` gap-shift ordering remains an **honest structural hypothesis** (documented, not faked).
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- **Khipu Byzantine BFT safety** — **Conjecture 2**, open (a faulty organ can equivocate).
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## Experimental · CI-green tier (separate from the locked 8 — NEVER folded in)
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- `main @ 880c803e` — Wave19 / 20 / 21 merged; Phase-1 stabilize gate cleared; CI
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(`lake build + numbers` + DCO + doctrine) green on main.
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corpus/lean/lutar-lean__README.md
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@@ -38,15 +38,15 @@ SZL runs a strict **two-tier** honesty doctrine. The two tiers never blend.
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### Tier 1 — LOCKED (proven, sorry-free, count machine-enforced)
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> **Exactly
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They are zero-`sorry`, use only Lean-core axioms `[propext, Classical.choice, Quot.sound]`, and the fact that there are **exactly
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### Tier 2 — EXPERIMENTAL · CI-green (kernel-verified, labeled, never in the locked count)
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> The experimental library on `main` type-checks at **1323 declarations / 23 axioms (22 unique), CI-green** on Lean `v4.18.0` (`lake build + numbers` ✅, DCO ✅).
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These are real, kernel-verified theorems — waves 5/6/7/8, the agentic loop P1–P6, the airtight-Λ conditional results, and the **frontier theorem families Waves 11–17** — but they are an explicitly separate **EXPERIMENTAL · CI-green** tier and are **never** folded into the locked-
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**Frontier families (Waves 11–17, all `#print axioms` ⊆ `[propext, Classical.choice, Quot.sound]`, no new axiom, no `sorry`):**
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| **16** | CF-23 binary-KL convexity crux · CF-24 `geoBin` satisfies the **full Aczél quasi-arithmetic axioms** (idempotent/symmetric/homogeneous/monotone — the last analytic step before CUT-1) · CF-25 Λ scale-invariance · CF-26 abacus place-value |
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| **17** | **CF-23 `binary_pinsker`** (full binary Pinsker `2(p−q)² ≤ KL`) · CF-27 monotone-DEQ unique equilibrium · CF-28 recurrent-depth `Kʳ`-Lipschitz |
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~100 kernel-clean theorems across these waves; every one is drift-gate-checked and CI-green on `main`. None changes the locked count of
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### The Λ line — Conjecture 1 (do not misquote this)
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├── Axioms.lean -- LutarAxioms A1–A5 (monotone, 1-homogeneous,
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│ diagonal-normalized, bounded-by-max, symmetric)
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├── Puriq/Formulas/
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│ └── PuriqFormulaLean.lean -- the
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├── Round13/ -- Λ-uniqueness machinery (Cauchy/Aczél, CUT-2 conditional)
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│ ├── CauchyND_Closure.lean -- monotone+additive ⇒ linear (rational squeeze, 0 sorry)
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│ └── Lambda_Uniqueness.lean -- maxAgg_ne_Lambda counterexample (Conjecture-1 anchor)
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├── Wave8/AxiomDisclosure.lean --
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├── Wave13/Sweep.lean -- experimental: quorum shadow + HM bottleneck (CI-green)
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├── Khipu/ -- receipt summation invariants, hash-chain tamper-evidence
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├── Innovations/round*/ -- experimental frontier formulas (labeled, gated)
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```bash
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# the locked count is itself a no-axiom theorem
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echo '#print axioms Lutar.Wave8.AxiomDisclosure.
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# the Conjecture-1 counterexample
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echo '#print axioms Lutar.Round13.maxAgg_ne_Lambda' | lake env lean --stdin
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```
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- **Open `sorry`s are tracked, not hidden.** Putnam analysis, the xoshiro period bound (GF(2)²⁵⁶ companion-matrix primitivity), Hoeffding–Azuma assembly, Reed–Solomon Singleton, and the Brouwer/cohomology obligations are genuinely hard (multi-day to multi-week or need Mathlib facts absent at v4.18.0). They stay honest `sorry`s with their references intact.
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- **Declared axioms are honest assumptions**, not proofs: cryptographic-hardness axioms (SHA-256 collision-resistance, domain separation), the Λ-family bridge axioms, and deep-math axioms (Gleason, Reidemeister, Liu-Hui) are disclosed and isolated. `#print axioms` is the source of truth.
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- **No fabricated metrics. No inflated proof counts.** The locked count is exactly
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---
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### Tier 1 — LOCKED (proven, sorry-free, count machine-enforced)
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> **Exactly 8 formulas are locked-proven: `F1, F4, F7, F11, F12, F18, F19, F22`.**
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They are zero-`sorry`, use only Lean-core axioms `[propext, Classical.choice, Quot.sound]`, and the fact that there are **exactly 8** is *itself* a Lean theorem (`Lutar.Wave8.AxiomDisclosure.locked_count_eight`, which depends on **no** axioms). The locked set cannot silently grow. **It grew from 5 to 8 on 2026-06-10** when F4 and F7 were upgraded from vacuous placeholders (`t<k → t<k ∧ k≠t`; `msgs = msgs`) to GENUINE, non-vacuous proofs — Khipu-DAG acyclicity preservation and Chaski FIFO reception-order = send-order — joining the already-genuine F22, with the count moved in lockstep across `Wave8/9/10/11/AxiomDisclosure.lean` and `Uniqueness/AxiomCheck.lean`. (Final kernel `#print axioms` verification by the founder Lean-runner is PENDING before the served surfaces flip.)
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### Tier 2 — EXPERIMENTAL · CI-green (kernel-verified, labeled, never in the locked count)
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> The experimental library on `main` type-checks at **1323 declarations / 23 axioms (22 unique), CI-green** on Lean `v4.18.0` (`lake build + numbers` ✅, DCO ✅).
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These are real, kernel-verified theorems — waves 5/6/7/8, the agentic loop P1–P6, the airtight-Λ conditional results, and the **frontier theorem families Waves 11–17** — but they are an explicitly separate **EXPERIMENTAL · CI-green** tier and are **never** folded into the locked-8.
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**Frontier families (Waves 11–17, all `#print axioms` ⊆ `[propext, Classical.choice, Quot.sound]`, no new axiom, no `sorry`):**
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| **16** | CF-23 binary-KL convexity crux · CF-24 `geoBin` satisfies the **full Aczél quasi-arithmetic axioms** (idempotent/symmetric/homogeneous/monotone — the last analytic step before CUT-1) · CF-25 Λ scale-invariance · CF-26 abacus place-value |
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| **17** | **CF-23 `binary_pinsker`** (full binary Pinsker `2(p−q)² ≤ KL`) · CF-27 monotone-DEQ unique equilibrium · CF-28 recurrent-depth `Kʳ`-Lipschitz |
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~100 kernel-clean theorems across these waves; every one is drift-gate-checked and CI-green on `main`. None changes the locked count of 8; Λ stays **Conjecture 1**.
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### The Λ line — Conjecture 1 (do not misquote this)
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├── Axioms.lean -- LutarAxioms A1–A5 (monotone, 1-homogeneous,
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│ diagonal-normalized, bounded-by-max, symmetric)
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├── Puriq/Formulas/
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│ └── PuriqFormulaLean.lean -- the 8 LOCKED formula theorems {F1,F4,F7,F11,F12,F18,F19,F22}
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├── Round13/ -- Λ-uniqueness machinery (Cauchy/Aczél, CUT-2 conditional)
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│ ├── CauchyND_Closure.lean -- monotone+additive ⇒ linear (rational squeeze, 0 sorry)
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│ └── Lambda_Uniqueness.lean -- maxAgg_ne_Lambda counterexample (Conjecture-1 anchor)
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├── Wave8/AxiomDisclosure.lean -- locked_count_eight (no-axiom theorem: exactly 8 locked)
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├── Wave13/Sweep.lean -- experimental: quorum shadow + HM bottleneck (CI-green)
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├── Khipu/ -- receipt summation invariants, hash-chain tamper-evidence
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├── Innovations/round*/ -- experimental frontier formulas (labeled, gated)
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```bash
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# the locked count is itself a no-axiom theorem
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echo '#print axioms Lutar.Wave8.AxiomDisclosure.locked_count_eight' | lake env lean --stdin
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# the Conjecture-1 counterexample
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echo '#print axioms Lutar.Round13.maxAgg_ne_Lambda' | lake env lean --stdin
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```
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- **Open `sorry`s are tracked, not hidden.** Putnam analysis, the xoshiro period bound (GF(2)²⁵⁶ companion-matrix primitivity), Hoeffding–Azuma assembly, Reed–Solomon Singleton, and the Brouwer/cohomology obligations are genuinely hard (multi-day to multi-week or need Mathlib facts absent at v4.18.0). They stay honest `sorry`s with their references intact.
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- **Declared axioms are honest assumptions**, not proofs: cryptographic-hardness axioms (SHA-256 collision-resistance, domain separation), the Λ-family bridge axioms, and deep-math axioms (Gleason, Reidemeister, Liu-Hui) are disclosed and isolated. `#print axioms` is the source of truth.
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- **No fabricated metrics. No inflated proof counts.** The locked count is exactly 8 and machine-enforced (was 5 until the 2026-06-10 genuine F4/F7 proofs); the experimental count is reported separately and CI-measured.
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---
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