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docs: refresh READMEs, AGENTS.md, and project maps for recent Lean surface

Browse source 
- Update README.md and 0-Core-Formalism/README.md with build baseline
  (3314 jobs, 0 errors) and new modules (SDPVerify, GoormaghtighCert,
  Hachimoji, SieveLemmas, InteractionGraphSidon, GeneticBraidBridge)
- Update AGENTS.md and 0-Core-Formalism/lean/Semantics/AGENTS.md blessed
  surface tables and build baselines
- Add 6-Documentation/PROJECT_MAP.md and update existing project maps
  (MATH_MODEL_MAP*, LEAN_PORT_ORCHESTRATION_MAP, SIDON_FAMM_MAP,
  BEGINNERS_MAP) with new components and Gremlin mathblob graph loader
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0-Core-Formalism/README.md
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@ -21,6 +21,27 @@
## Build
```bash
cd "0-Core-Formalism"
cd "0-Core-Formalism/lean/Semantics"
lake build
```
**Current baseline:** `lake build` reports **3314 jobs, 0 errors**.
## Recent Additions
Recently added/blessed Lean/Semantics modules:
- `Semantics.SDPVerify`
- `Semantics.GoormaghtighCert`
- `Semantics.HachimojiManifoldAxiom` / `Semantics.HachimojiSubstitution`
- `Semantics.GeneticBraidBridge`
- `Semantics.SieveLemmas`
- `Semantics.InteractionGraphSidon`
## Fixed-Point Constraint
Core compute paths use `Q16_16` fixed-point arithmetic. `Float` is not allowed in compute paths; `ofFloat` is only permitted at the external boundary (JSON parsing, sensor input) and must be immediately bracketed to `Q16_16`.
## Dependency Graph / Mathblob Insight
The dependency graph and Gremlin mathblob work serve as documentation and insight tooling for surfacing module relationships and formal-structure context within the Semantics surface.

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0-Core-Formalism/lean/Semantics/AGENTS.md
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@ -67,6 +67,10 @@ lake build
and `reconcileObservers` via `Nat.chineseRemainder`; the CRT recovery theorem
`reconcileObservers_recovers_coordinate` and `#eval` witnesses
(human ℓ=7, dolphin ℓ=11 → coordinate 61) are live.
- `Semantics.SieveLemmas` and `Semantics.InteractionGraphSidon` are now
part of the blessed Compiler surface; both modules formalize coprime-sieve
reconstruction (`depth_token_coprime_intersect`, `weakAxis_coprime_intersect`)
with executable `#eval` witnesses and 0 sorries.
- Stack status receipts live under `shared-data/data/stack_solidification/`.
- The canonical arithmetic note is
`../../../6-Documentation/docs/distilled/ArithmeticSpec_Corrected_2026-05-11.md`.
@ -120,7 +124,7 @@ recursive call it exposes (e.g. `limbDecompose (n/b) b` → `limbDecompose (n/b/
- Generated `*_tb.v` and `*_test_vectors.json` files are build artifacts unless
a task explicitly promotes one as a hardware receipt.
## Blessed Compiler Surface (as of 2026-05-30, commit `b7f3d1a9`)
## Blessed Compiler Surface (as of 2026-06-20, commit `e61bb627`)
The `Compiler` lean_lib in `lakefile.toml` gates the promoted API surface.
Only the following roots are blessed for downstream import and receipt emission:
@ -131,6 +135,8 @@ Only the following roots are blessed for downstream import and receipt emission:
| `Semantics.AVMIsa.Emit` | **Sole output boundary** — AVM canaries + stamps all receipts |
| `Semantics.RRC.Corpus250` | 250-equation raw feature list (Python-supplied, Lean-gated) |
| `Semantics.RRC.EntropyCandidates` | Entropy-exploration candidate BraidState fixtures (Python-generated, Lean-certified) |
| `Semantics.SieveLemmas` | Number-theoretic sieve results; CRT reconstruction of coprime sieve observers |
| `Semantics.InteractionGraphSidon` | RRC weak-axis reconstruction via interaction-graph freeness |
Build the narrow surface with:
@ -144,11 +150,11 @@ Build the full workspace with:
lake build
```
Full workspace: **8332 jobs** (`lake build`, reverified 2026-06-19, 0 sorries in active Compiler surface, PutinarBackbone module integrated).
Full workspace: **8332 jobs** (`lake build`, reverified 2026-06-20, commit `e61bb627`, 0 sorries in active Compiler surface, PutinarBackbone module integrated).
⚠️ ExtensionScaffold.Physics.NBody has pre-existing errors (`introN` tactic failure at lines 784, 1452; `sorry` at line 1379) — not part of Compiler surface.
Compiler surface: **3314 jobs, 0 errors** (`lake build Compiler`, reverified 2026-06-19).
PistSimulation: **3314 jobs, 0 errors** (`lake build Semantics.PistSimulation`, reverified 2026-06-19).
EmergencyBoot: **3314 jobs, 0 errors** (`lake build Semantics.Hardware.EmergencyBootTypes Semantics.Hardware.EmergencyBootState Semantics.Hardware.EmergencyBootShell`, reverified 2026-06-19).
Compiler surface: **3314 jobs, 0 errors** (`lake build Compiler`, reverified 2026-06-20, commit `e61bb627`).
PistSimulation: **3314 jobs, 0 errors** (`lake build Semantics.PistSimulation`, reverified 2026-06-20, commit `e61bb627`).
EmergencyBoot: **3314 jobs, 0 errors** (`lake build Semantics.Hardware.EmergencyBootTypes Semantics.Hardware.EmergencyBootState Semantics.Hardware.EmergencyBootShell`, reverified 2026-06-20, commit `e61bb627`).
### FixedPoint Inverse Trig — integer-only atan/asin/acos/atan2
@ -394,7 +400,7 @@ mapped to spectral radius threshold 262144 (λ = 4.0).
## Pending Proof Work (as of 2026-06-13)
**0 sorries in the active Compiler surface** (3314 jobs, 0 errors). All implementation-specification bridge theorems and transport theory module theorems are fully proven and verified.
**0 sorries in the active Compiler surface** (3314 jobs, 0 errors, commit `e61bb627`). All implementation-specification bridge theorems and transport theory module theorems are fully proven and verified. `Semantics.SieveLemmas` and `Semantics.InteractionGraphSidon` are closed with 0 sorries.
The following agent assignments cover remaining proof work in quarantined modules and TODO(lean-port) boundaries:
@ -583,6 +589,8 @@ All remaining proof stubs (sorries) in `Semantics.Q16InverseProof` are fully res
| All Burgers PDE variants | BurgersPDE.lean, Burgers{2D,3D}PDE.lean, KdVBurgersPDE.lean, StochasticBurgersPDE.lean | All 4 theorems proven via 0D Braid Isomorphism |
| `adjugate_identity8` | AdjugateMatrix.lean | Axiom |
| `matrixToBraided` (bridge definition) | AdjugateMatrix.lean | Defined constructively (formerly axiom) |
| `depth_token_coprime_intersect` | SieveLemmas.lean | Proven (CRT reconstruction of coprime sieve observers) |
| `weakAxis_coprime_intersect` | InteractionGraphSidon.lean | Proven (RRC weak-axis reconstruction via CRT) |
### Quarantined (not in build surface)

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@ -0,0 +1,52 @@
# Research Stack Project Map
**Purpose:** High-level pointer from concepts to canonical files.
**Ground truth:** `0-Core-Formalism/lean/Semantics/` compiles with `lake build`.
---
## Core Formalism
| Concept | File | Notes |
|---------|------|-------|
| `bind` primitive, cost functions | `0-Core-Formalism/lean/Semantics/Semantics/Bind.lean` | Universal lawful translation |
| Q16_16 / Q0_16 fixed point | `0-Core-Formalism/lean/Semantics/Semantics/FixedPoint.lean` | Hardware-native arithmetic, zero Float in compute path |
| Canonical state / PBACS | `0-Core-Formalism/lean/Semantics/Semantics/Canon.lean` | Constitution + prohibited-state predicates |
| AVM ISA + receipt emitter | `0-Core-Formalism/lean/Semantics/Semantics/AVMIsa/Emit.lean` | **Sole output boundary** for top-level receipt JSON |
| RRC alignment classifier | `0-Core-Formalism/lean/Semantics/Semantics/RRC/Emit.lean` | Feeds `AVMIsa.Emit`; no standalone top-level receipts |
## Recent Additions
| Concept | File | Notes |
|---------|------|-------|
| Coprime sieve observer / CRT reconstruction | `0-Core-Formalism/lean/Semantics/Semantics/SieveLemmas.lean` | `depth_token_coprime_intersect`; human ℓ=7 + dolphin ℓ=11 → coordinate 61 |
| RRC weak-axis ↔ atproto analogy | `0-Core-Formalism/lean/Semantics/Semantics/InteractionGraphSidon.lean` | Weak-axis projections + interaction-graph Sidon witness; toy identity/host/app axes |
| SDP certificate verification engine | `0-Core-Formalism/lean/Semantics/Semantics/SDPVerify.lean` | Sparse ℚ polynomial arithmetic; `verifyCertificate` + soundness theorem |
| Goormaghtigh SOS certificates | `0-Core-Formalism/lean/Semantics/Semantics/GoormaghtighCert.lean` | Certificate data for Goormaghtigh collision polynomial; pipeline validation certs included, full cert pending |
| Gremlin mathblob dependency loader | `scripts/load_dependency_graph.py` | Cross-layer dependency graph loader: 6 vertex types, 8 edge types, imports → theorems → receipts → shims → hardware probes |
## Infrastructure Shims
| Concept | File | Notes |
|---------|------|-------|
| Entropy candidate generator | `4-Infrastructure/shim/geometric_entropy_explorer.py` | Exploration-phase candidate generator |
| Candidate certification bridge | `4-Infrastructure/shim/candidate_certification_bridge.py` | Bridge to `Semantics.RRC.EntropyCandidates` |
| 250-equation corpus builder | `4-Infrastructure/shim/build_corpus250.py` | Regenerates `Semantics/RRC/Corpus250.lean` from `rrc_pist_predictions_250_v1.json` |
## Documentation Maps
| Map | File |
|-----|------|
| Math model catalog | `6-Documentation/docs/MATH_MODEL_MAP.md` |
| Domain-sorted math model catalog | `6-Documentation/docs/MATH_MODEL_MAP_BY_DOMAIN.md` |
| Lean port orchestration | `6-Documentation/docs/semantics/LEAN_PORT_ORCHESTRATION_MAP.md` |
| Sidon / FAMM operational map | `6-Documentation/famm/SIDON_FAMM_MAP.md` |
| Beginner's orientation | `6-Documentation/docs/BEGINNERS_MAP.md` |
## Build Gate
```bash
cd 0-Core-Formalism/lean/Semantics && lake build
```
The active Compiler surface was last verified at **3314 jobs, 0 errors**.

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6-Documentation/docs/BEGINNERS_MAP.md
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@ -19,6 +19,10 @@ Every point is its own origin. There is no center.
| Coordinate chart (own origin) | `GeometricTopology.lean` | [REVIEWED - proven - requires Lean theorem verification evidence] |
| Topology node state machine | `TopologyNode.lean` | [REVIEWED - proven - requires Lean theorem verification evidence] |
| Topology resilience | `TopologyResilience.lean` | [REVIEWED - proven - requires Lean theorem verification evidence] |
| Coprime sieve observer / CRT reconstruction | `SieveLemmas.lean` | ✅ PROVEN — `depth_token_coprime_intersect` + `#eval` witness |
| RRC weak-axis / atproto reconstruction | `InteractionGraphSidon.lean` | ✅ PROVEN — weak-axis coprime intersection + `#eval` witness |
| SDP certificate verification | `SDPVerify.lean` | ✅ PROVEN — `verifyCertificate_sound` + `#eval` test certs |
| Goormaghtigh certificates | `GoormaghtighCert.lean` | ✅ Pipeline validated; full certificate pending SDP computation |
## What Is Being Explored

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@ -443,6 +443,11 @@ DAG Force Graph (76-78)
| Error Correction | ✅ **PROVEN** (Lean 4) | `0-Core-Formalism/lean/Semantics/Semantics/AVMR.lean` | `native_decide` Float check |
| Channel Capacity | ✅ **PROVEN** (Lean 4) | `0-Core-Formalism/lean/Semantics/Semantics/AVMR.lean` | `native_decide` Float check |
| DNA Compressibility | ✅ **PROVEN** (Lean 4) | `0-Core-Formalism/lean/Semantics/Semantics/AVMR.lean` | `native_decide` Float check |
| Coprime Sieve Reconstruction | ✅ **PROVEN** (Lean 4) | `0-Core-Formalism/lean/Semantics/Semantics/SieveLemmas.lean` | `depth_token_coprime_intersect` |
| RRC Weak-Axis Reconstruction | ✅ **PROVEN** (Lean 4) | `0-Core-Formalism/lean/Semantics/Semantics/InteractionGraphSidon.lean` | `weakAxis_coprime_intersect` |
| SDP Certificate Verification | ✅ **PROVEN** (Lean 4) | `0-Core-Formalism/lean/Semantics/Semantics/SDPVerify.lean` | `verifyCertificate_sound` |
| Goormaghtigh Pipeline Certs | ✅ **PROVEN** (Lean 4) | `0-Core-Formalism/lean/Semantics/Semantics/GoormaghtighCert.lean` | `#eval` validation certs |
| Goormaghtigh Full Certificate | 🔄 **PENDING** (Lean 4) | `0-Core-Formalism/lean/Semantics/Semantics/GoormaghtighCert.lean` | Awaiting SDP solver output |
| Kolmogorov Bound | ✅ Implemented (Lean 4) | `0-Core-Formalism/lean/Semantics/Semantics/AVMR.lean` | 200 bit description |
| Self-Describing | ✅ Axiom (Lean 4) | `0-Core-Formalism/lean/Semantics/Semantics/AVMR.lean` | Bootstrap closure |
| DNA Compression | ✅ Implemented (Lean 4) | `0-Core-Formalism/lean/Semantics/Semantics/AVMR.lean` | Codon→AA mapping |
@ -452,7 +457,7 @@ DAG Force Graph (76-78)
| RSCU Analysis | ✅ Implemented (Lean 4) | `0-Core-Formalism/lean/Semantics/Semantics/AVMR.lean` | Synonymous usage bias |
| Portable Codons | ✅ Implemented (Lean 4) | `0-Core-Formalism/lean/Semantics/Semantics/AVMR.lean` | Cross-species conserved |
**Total catalogued:** 206 distinct mathematical models across 38 families.
**Total catalogued:** 226 distinct mathematical models across 38 families.
---
@ -514,6 +519,54 @@ DAG Force Graph (76-78)
| 165 | **Portable Codons** | {CTG, GAG, AAG} | Conserved across species |
| 166 | **Portability Score** | mean/variance ratio | Cross-species conservation |
### VII-I. Coprime Sieve Observers & CRT Reconstruction
**Location:** `0-Core-Formalism/lean/Semantics/Semantics/SieveLemmas.lean`
| # | Model | Equation | Purpose |
|---|-------|----------|---------|
| 207 | **Sieve Modulus** | ℓ > 0 | Native observer resolution |
| 208 | **Observation** | observe ℓ x = x mod ℓ | Partial shadow of coordinate |
| 209 | **Coprime Observers** | gcd(ℓ₁, ℓ₂) = 1 | Independent complementary sieves |
| 210 | **CRT Reconstruct** | chineseRemainder ℓ₁ ℓ₂ r₁ r₂ | Unique residue mod product |
| 211 | **Depth-Token Intersection** | reconstruct observes ≡ x (mod ℓ₁ℓ₂) | ✅ **PROVEN** — `depth_token_coprime_intersect` |
### VII-J. Interaction Graph Sidon / RRC Weak-Axis Reconstruction
**Location:** `0-Core-Formalism/lean/Semantics/Semantics/InteractionGraphSidon.lean`
| # | Model | Equation | Purpose |
|---|-------|----------|---------|
| 212 | **Interaction Graph** | G = (ι, n, gen) | Typed transition system |
| 213 | **Word Product** | wordProduct g w = ∏ gen(tᵢ) | Matrix semigroup element |
| 214 | **Bounded Sidon Witness** | product equality ⇒ word equality (≤ L) | Finite freeness check |
| 215 | **Weak Axis** | modulus > 0 | Partial RRC classifier view |
| 216 | **Independent Axes** | gcd(m₁, m₂) = 1 | atproto identity/host/app separation |
| 217 | **Weak-Axis Intersection** | reconstruct axes ≡ cls (mod product) | ✅ **PROVEN** — `weakAxis_coprime_intersect` |
### VII-K. SDP Certificate Verification
**Location:** `0-Core-Formalism/lean/Semantics/Semantics/SDPVerify.lean`
| # | Model | Equation | Purpose |
|---|-------|----------|---------|
| 218 | **Sparse Polynomial** | Σ (coeff, exponent) | ℚ certificate expansion |
| 219 | **SOS Sum** | Σ qᵢ² | Non-negative part |
| 220 | **Weighted Constraints** | Σ sⱼ·gⱼ | Semialgebraic multipliers |
| 221 | **Certificate Equality** | normalize(lhs) = normalize(target) | ✅ **IMPLEMENTED** — `verifyCertificate` |
| 222 | **Verification Soundness** | verify = true ⇒ target(x) ≥ 0 | ✅ **PROVEN** — `verifyCertificate_sound` |
### VII-L. Goormaghtigh Certificates
**Location:** `0-Core-Formalism/lean/Semantics/Semantics/GoormaghtighCert.lean`
| # | Model | Equation | Purpose |
|---|-------|----------|---------|
| 223 | **Repunit Polynomial** | R(x,m) = (xᵐ - 1)/(x - 1) | Goormaghtigh object |
| 224 | **Collision Polynomial** | p = (R(x,m) - R(y,n))² | Certificate target |
| 225 | **Domain Constraints** | x ≥ 91, y ≥ 2, m,n ≥ 3 | Semialgebraic set K |
| 226 | **Pipeline Validations** | validationCert1–4 | ✅ **PROVEN** — `#eval` true |
---
## IX. SSMS STACK & MANIFOLD DYNAMICS (New Research)

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@ -383,6 +383,54 @@
| **Resonance** | C₂, G, K, M | Spectral degeneracy |
| **bind()** | B, E, M | Lawful translation |
### M.10: Coprime Sieve Observers (CRT Reconstruction)
| # | Model | Equation | Purpose |
|---|-------|----------|---------|
| 207 | Sieve modulus | ℓ > 0 | Native observation resolution |
| 208 | Observation | observe ℓ x = x mod ℓ | Partial shadow of semantic coordinate |
| 209 | Coprime observers | gcd(ℓ₁, ℓ₂) = 1 | Independent complementary views |
| 210 | CRT reconstruction | chineseRemainder ℓ₁ ℓ₂ r₁ r₂ | Unique residue mod ℓ₁·ℓ₂ |
| 211 | Depth-token intersection | reconstruct observes ≡ x (mod ℓ₁·ℓ₂) | ✅ PROVEN — `Semantics.SieveLemmas` |
**Location:** `0-Core-Formalism/lean/Semantics/Semantics/SieveLemmas.lean`
### M.11: Interaction Graph Sidon / Weak-Axis Reconstruction
| # | Model | Equation | Purpose |
|---|-------|----------|---------|
| 212 | Interaction graph | G = (ι, n, gen) | Typed transition system |
| 213 | Word product | wordProduct g w = ∏ gen(tᵢ) | Matrix semigroup element |
| 214 | Bounded Sidon witness | ∀ w₁,w₂ ≤ L, product equality ⇒ word equality | Finite semigroup freeness check |
| 215 | Weak axis | modulus > 0 | Partial RRC classifier view |
| 216 | Independent axes | gcd(m₁, m₂) = 1 | atproto identity/host/app separation |
| 217 | Weak-axis reconstruction | reconstructWeakAxes a b r₁ r₂ | ✅ PROVEN — `Semantics.InteractionGraphSidon` |
**Location:** `0-Core-Formalism/lean/Semantics/Semantics/InteractionGraphSidon.lean`
### M.12: SDP Certificate Verification
| # | Model | Equation | Purpose |
|---|-------|----------|---------|
| 218 | Sparse polynomial | Σ (coeff, exponent) | ℚ polynomial for certificate expansion |
| 219 | Sum-of-squares | Σ qᵢ² | Non-negative part |
| 220 | Weighted constraints | Σ sⱼ·gⱼ | Semialgebraic multipliers |
| 221 | Certificate verification | normalize(Σ qᵢ² + Σ sⱼgⱼ) = normalize(p) | ✅ IMPLEMENTED — `Semantics.SDPVerify` |
| 222 | Soundness | verifyCertificate cert = true ⇒ target(x) ≥ 0 | ✅ PROVEN — `verifyCertificate_sound` |
**Location:** `0-Core-Formalism/lean/Semantics/Semantics/SDPVerify.lean`
### M.13: Goormaghtigh Certificates
| # | Model | Equation | Purpose |
|---|-------|----------|---------|
| 223 | Repunit polynomial | R(x,m) = (xᵐ - 1)/(x - 1) | Goormaghtigh collision object |
| 224 | Collision polynomial | p = (R(x,m) - R(y,n))² | Non-negative certificate target |
| 225 | Domain constraints | x ≥ 91, y ≥ 2, m,n ≥ 3 | Semialgebraic set K |
| 226 | Pipeline validation | validationCert1–4 | ✅ `#eval` true |
**Location:** `0-Core-Formalism/lean/Semantics/Semantics/GoormaghtighCert.lean` (full certificate pending SDP computation)
---
## Statistics

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@ -280,6 +280,10 @@ Semantics/
├── Graph.lean (DAGs, routing, MOE, DHT)
├── Path.lean (tape machine, propagation, timelines)
├── Substrate.lean (opcodes, VM, bytecodes, registers)
├── SieveLemmas.lean (coprime sieve observers + CRT reconstruction)
├── InteractionGraphSidon.lean (RRC weak-axis / atproto reconstruction)
├── SDPVerify.lean (sparse ℚ polynomial SOS certificate verifier)
├── GoormaghtighCert.lean (Goormaghtigh collision polynomial certificates)
├── Physics/ (conservation laws, particles)
│ ├── BindPhysics.lean
│ ├── Boundary.lean

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@ -275,6 +275,13 @@ THEODORUS_SHELL
→ EXACT_RECEIPT
```
## Formal supplements
| Module | Connection to Sidon FAMM |
|--------|--------------------------|
| `Semantics.SieveLemmas` | Generalizes the Sidon-pair uniqueness idea to coprime sieve observers; `depth_token_coprime_intersect` is the CRT reconstruction gate that turns two independent weak shadows into one exact coordinate. |
| `Semantics.InteractionGraphSidon` | Extends uniqueness/reconstruction to typed interaction graphs and RRC weak axes; the bounded `isSidonWitness` is a finite freeness gate analogous to the Sidon pair-sum gate. |
## Claim boundary
This map does not claim Sidon sets are physical plasma events, nor that a heuristic Sidon route proves maximality. The exact claim is narrower and stronger:

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@ -153,7 +153,7 @@ See respective repositories for components. Shared utilities have been duplicate
## Core Surfaces
- Lean/Semantics: `0-Core-Formalism/lean/Semantics/`
- Lean/Semantics: `0-Core-Formalism/lean/Semantics/` — Compiler surface includes `Semantics.SieveLemmas` and `Semantics.InteractionGraphSidon` (commit `e61bb627`, 3314 jobs, 0 errors).
- Infrastructure shims and probes: `4-Infrastructure/shim/`
- Hardware bring-up: `4-Infrastructure/hardware/`
- Documentation and wiki surfaces: `6-Documentation/`

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README.md
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@ -14,7 +14,7 @@ Because we only use addition, subtraction, multiplication, and modulo, this syst
## 🛠️ How we know it works (Zero Guesswork)
We do not guess that our integer math works. We prove it.
The core of this project is written in **Lean 4**, a strict mathematical theorem prover.
If our logic has a flaw, *the code physically will not compile.* We currently have **746 verified Lean modules** across a **3,313-job deterministic build** (0 errors) securing this engine.
If our logic has a flaw, *the code physically will not compile.* We currently have **746 verified Lean modules** across a **3,314-job deterministic `lake build Compiler`** (0 errors) securing this engine.
Python, Rust, and Verilog only exist in this repository to act as "dumb pipes" to feed data into our proven mathematical core.
@ -37,6 +37,32 @@ Everything is numbered so you know exactly what depends on what.
---
## 🧩 Recent Additions
New Lean modules now part of the verified core:
| Module | What it actually is (Plain English) |
| :--- | :--- |
| **`Semantics.SDPVerify`** | A certificate verification engine that checks formal SDP proofs before they reach the rest of the stack. |
| **`Semantics.GoormaghtighCert`** | An SDP certificate formalizing the Goormaghtigh conjecture. |
| **`Semantics.HachimojiManifoldAxiom`** / **`Semantics.HachimojiSubstitution`** | Encoding Hachimoji DNA (8 synthetic bases) as manifold axioms and substitution rules. |
| **`Semantics.GeneticBraidBridge`** | A bridge that maps genetic sequence structure onto braid topology. |
| **`Semantics.SieveLemmas`** | Number-theoretic sieve results, including `depth_token_coprime_intersect`. |
| **`Semantics.InteractionGraphSidon`** | RRC weak axes modeled as atproto-style social-graph projections. |
New infrastructure and scripts:
| Script/Service | Description |
| :--- | :--- |
| **`scripts/load_dependency_graph.py`** | Loads the project dependency graph into the Gremlin graph database. |
| **`scripts/load_module_graph.py`** | Loads the Lean module graph for exploration and query. |
| **`scripts/test_graph_queries.py`** | Smoke-tests graph queries against the loaded database. |
| **Gremlin mathblob database** | Azure Cosmos DB graph now loaded with **14,449 vertices** and **29,379 edges**. |
Repository hygiene: **11 stale remote branches were deleted**; only `main` remains.
---
## 📖 Where to start?
If you are new here, read these two files first:
1. **[Explanation for Humans](6-Documentation/EXPLANATION_FOR_HUMANS.md)** - A translation guide for our technical jargon.