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41 changes: 29 additions & 12 deletions wiki/Concrete-Examples.md
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---

## 1. Running the Standalone Python Verifier & Examples
## 1. Running the Standalone Python Verifier, Examples & Simplex-NF Studio

All examples and contract validators live in the standalone `normal_forms/` Python package and `contracts/` directory:
All examples, contract validators, and the interactive **Simplex-NF Studio** web workbench live in the `normal_forms/` and `web/` packages and `contracts/` directory:

```bash
# 1. Validate all 112 YAML normal form contracts against standard.yaml
# 1. Install in editable mode (or wheel distribution)
pip install -e ".[web,dev]"

# 2. Validate all 112 YAML normal form contracts against standard.yaml
python -m normal_forms.catalog

# 2. Run Demo 01: BQNF Incremental Revenue Repair on CDC Events
# 3. Run Demo 01: BQNF Incremental Revenue Repair on CDC Events
python -m normal_forms.paid_revenue_example

# 3. Run Demo 02: Unverified Certificate Refusal Gate
# 4. Run Demo 02: Unverified Certificate Refusal Gate
python -m normal_forms.unverified_certificate_example

# 4. Run Demo 03: Observer-Relative Freshness SLA Poset Evaluation
# 5. Run Demo 03: Observer-Relative Freshness SLA Poset Evaluation
python -m normal_forms.observer_freshness_example

# 5. Run Cross-Domain Reconciliation & Loss Ledger Example
# 6. Run Cross-Domain Reconciliation & Loss Ledger Example
python -m normal_forms.reconciliation_example

# 6. Run Demo 05: 4-Hop Composition (3NF/BCNF -> Extrema & Quantile Cochains -> CODA_MUR -> Observer Poset)
# 7. Run Demo 05: 4-Hop Composition (3NF/BCNF -> Extrema & Quantile Cochains -> CODA_MUR -> Observer Poset)
python -m normal_forms.multi_hop_composition

# 7. Run Demo 06: AI RAG / MCP Pipeline with @coda_mur_projection & @observer_freshness_gate
# 8. Run Demo 06: AI RAG / MCP Pipeline with @coda_mur_projection & @observer_freshness_gate
python -m normal_forms.ai

# 9. Launch the Simplex-NF Studio Interactive Web Workbench (smplxnf.anomalon.com)
uvicorn web.app:app --host 0.0.0.0 --port 8000
```

---
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---

## 8. Epistemic Claim Hygiene Quadrant
## 8. Example G: Simplex-NF Studio Interactive Web Workbench (`web/app.py`, `IMPORT_GUIDE.md`)

**Simplex-NF Studio** (`web/app.py`, configured for Render deployment at `smplxnf.anomalon.com` via `render.yaml`) exposes four interactive REST & browser studios backed by the top-level `normal_forms` exports documented in `IMPORT_GUIDE.md`, `docs/MVP_SELECTION.md`, `docs/CORRECTNESS_SCOPE.md`, and `docs/DISTRIBUTION.md`:

- **Studio 1 (`POST /api/relational/normalize`):** Evaluates relational headings and functional dependencies across `1NF`–`3NF` and `BCNF`, synthesizes Bernstein `3NF` and Tsou-Fischer `BCNF` decompositions, runs the Tableau Chase (`chase_lossless_join`) to detect spurious tuple counterexamples, and emits copy-pasteable SQLite DDL + Python import snippets.
- **Studio 2 (`POST /api/bqnf/simulate`):** Simulates CDC event streams (`INSERT`/`UPDATE`/`DELETE`) with priority-queue extremum cochains and dynamic dyadic quantile sketches, recording per-event terminal routing (`Repair`, `Preserve`, `Recompute`, `Invalidate`) and exact bucket boundary alignments.
- **Studio 3 (`POST /api/compiler/lower`):** Lowers functional dependency rules into `NFKernelSpec`, applies poset subsumption Dead-Check Elimination (`run_kernel_pipeline_with_dce`), generates SQLite `BEFORE INSERT`/`BEFORE UPDATE` triggers with scalar null-safe semantics, and executes live carrier verification.
- **Studio 4 (`POST /api/ai/lossledger`):** Executes `@coda_mur_projection` and `@observer_freshness_gate` over RAG context chunks, verifying additive token conservation and SHA-256 Merkle `LossLedger` seals.

---

## 9. Epistemic Claim Hygiene Quadrant

1. **What it supports:**
- Demonstrates in this toy setting that the Python evaluators reproduce the declared terminal routes for `0NF`–`5NF`, `BQNF` additive and cochain-backed extrema/quantile repair, `CODA_MUR` representation transport, observer-relative freshness posets, the `normal_forms.ai` RAG/MCP decorator pipeline, and the 4-layer `NF-IR` compiler stack.
- Demonstrates in this toy setting that the Python evaluators and the Simplex-NF Studio web workbench reproduce the declared terminal routes for `0NF`–`5NF`, `BQNF` additive and cochain-backed extrema/quantile repair, `CODA_MUR` representation transport, observer-relative freshness posets, the `normal_forms.ai` RAG/MCP decorator pipeline, and the 4-layer `NF-IR` compiler stack.
2. **What it does not support:**
- Does not substitute for production database concurrency control or physical distributed consensus.
3. **The narrowest defensible claim:**
- Each worked example and multi-hop property test executes deterministically against the fixtures and randomized schemas in `tests/` with `AuthorityEffect: None`.
- Each worked example, multi-hop property test, and FastAPI workbench endpoint executes deterministically against the fixtures and randomized schemas in `tests/` with `AuthorityEffect: None`.
4. **The next test needed:**
- Concurrent multi-writer transaction interleaving over persistent disk-backed SQLite WAL journals.
2 changes: 1 addition & 1 deletion wiki/Home.md
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1. **[Theory and Cochain Substrate](Theory-and-Cochain-Substrate)** — The Four-Pillar Quadrilateral, Heath/Fagin/Rissanen theorems, BQNF homological sequence $Q^1 = C^1/\operatorname{im}(d^0)$, priority-queue extrema cochains, $\epsilon$-BQNF quantile sketches, and `CODA_MUR` descent compatibility.
2. **[Observer-Relative Ontology](Observer-Relative-Ontology)** — The Table–Relation–Relvar–Boundary-Relvar triad, observer poset monotonicity, `EQNF`, `ODNF`, and the strict governance wall (`certified_implies_authorized: false`).
3. **[Concrete Worked Examples](Concrete-Examples)** — Step-by-step SQL, JSON, and Python execution walkthroughs (`NormalFormsEvaluator`, `BqnfValidator`, 0NF$\to$1NF, 3NF Bernstein synthesis, 5NF consulting witness, BQNF CDC repair, and `CODA_MUR` transport).
3. **[Concrete Worked Examples](Concrete-Examples)** — Step-by-step SQL, JSON, Python, and **Simplex-NF Studio** (`web/app.py` / `smplxnf.anomalon.com`) execution walkthroughs (`NormalFormsEvaluator`, `BqnfValidator`, 0NF$\to$1NF, 3NF Bernstein synthesis, 5NF consulting witness, BQNF CDC repair, `CODA_MUR` transport, 4-layer `NF-IR` compiler, and `IMPORT_GUIDE.md` blueprints).
4. **[Relational Geometrodynamics and Physics Substrate](Relational-Geometrodynamics-and-Physics-Substrate)** — Discrete Regge calculus, Cayley-Menger metric positivity, Schläfli identity, Lorentzian CDT foliation, Wheeler-DeWitt, Page-Wootters relational time, and Fermion Sign Problem normal forms.

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