---
license: apache-2.0
language:
- en
tags:
- formal-verification
- lean4
- mathlib
- dsse
- governance
- agentic-ai
- series-a
- anthropic
- doctrine-v11
- rae-1
- theorem-proving
- ai-governance
- eu-ai-act
- nist-ai-rmf
- pac-bayes
- dataset
- doi:10.5281/zenodo.19944926
- doi:10.5281/zenodo.20434276
pretty_name: Ouroboros Thesis v18 — Formal Verification
size_categories:
- n<1K
task_categories:
- other
ecosystem-stage: historical-snapshot
---

<!-- SZL-ESTATE-CARD:v2:START -->
<p align="center"><a href="https://a-11-oy.com/"><img src="https://huggingface.co/spaces/SZLHOLDINGS/README/resolve/main/assets/estate-banner-v2.svg" alt="SZL Holdings — governed, receipted, verifiable" width="100%"></a></p>
<p align="center">
  <a href="https://github.com/szl-holdings/.github/tree/main/doctrine"><img src="https://img.shields.io/badge/doctrine-v11%20LOCKED-0B1F3A?style=flat-square" alt="doctrine v11"></a>
  <a href="https://a-11-oy.com/"><img src="https://img.shields.io/badge/evidence%20wall-LIVE%20%C2%B7%20verify%20in%20browser-3AF4C8?style=flat-square" alt="live evidence wall"></a>
  <a href="https://huggingface.co/datasets/SZLHOLDINGS/szl-lake"><img src="https://img.shields.io/badge/szl--lake-offline%20verifiable-C9B787?style=flat-square" alt="szl-lake offline verifiable"></a>
  <a href="https://huggingface.co/spaces/SZLHOLDINGS/holographic"><img src="https://img.shields.io/badge/estate%20map-holographic-5B8DEE?style=flat-square" alt="holographic estate map"></a>
</p>
<p align="center"><sub>Part of the <a href="https://huggingface.co/SZLHOLDINGS">SZL Holdings</a> governed estate — claims are designed to carry checkable receipts. Verification proves integrity &amp; origin, never accuracy or performance.</sub></p>
<!-- SZL-ESTATE-CARD:v2:END -->

<div align="center">
<p>

[![dataset](https://img.shields.io/badge/dataset-thesis%20v18%20%C2%B7%20LaTeX%20+%20formal%20blocks-3af4c8?style=flat-square)](https://huggingface.co/datasets/SZLHOLDINGS/thesis-v18-formal-verification/tree/main)
[![files](https://img.shields.io/badge/files-134-5b8dee?style=flat-square)](https://huggingface.co/datasets/SZLHOLDINGS/thesis-v18-formal-verification/tree/main)
[![license](https://img.shields.io/badge/license-apache--2.0-7e8aa3?style=flat-square)](https://huggingface.co/datasets/SZLHOLDINGS/thesis-v18-formal-verification)

</p>
</div>

# Ouroboros Thesis v18 — Formal Verification

[![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.20434276.svg)](https://doi.org/10.5281/zenodo.20434276)
[![Lean Kernel Green](https://img.shields.io/badge/Lean_4.13--kernel--green@c7c0ba17-22c55e?style=flat-square)](https://github.com/szl-holdings/lutar-lean/commit/c7c0ba17)
[![Sorries](https://img.shields.io/badge/sorries-163_total_(112_baseline%2B51_Putnam)-blue?style=flat-square)](https://github.com/szl-holdings/lutar-lean/commit/c7c0ba17)
[![SLSA L1](https://img.shields.io/badge/SLSA-L1_SBOM+DCO-blue?style=flat-square)](https://slsa.dev)
[![DSSE](https://img.shields.io/badge/DSSE-PAE_v1-22c55e?style=flat-square)](https://github.com/secure-systems-lab/dsse)
[![RAE-1](https://img.shields.io/badge/RAE--1-v1.0-D97757?style=flat-square)](https://github.com/szl-holdings/a11oy/pull/122)
[![MCP](https://img.shields.io/badge/MCP-server_live-ff6b35?style=flat-square)](https://huggingface.co/spaces/SZLHOLDINGS/hatun-mcp)
[![License](https://img.shields.io/badge/License-Apache_2.0-blue?style=flat-square)](https://www.apache.org/licenses/LICENSE-2.0)

> **Doctrine v11 LOCKED.** No marketing. Every number resolves to a CI log, a Lean proof, or a Zenodo DOI.

> **Historical snapshot** — this dataset is the v18-specific Lean mechanization index. The live source of truth is [`lean-proofs-v1`](https://huggingface.co/datasets/SZLHOLDINGS/lean-proofs-v1), which is kept current with each Lean kernel update. Use `lean-proofs-v1` for programmatic queries; use this dataset for v18-exact historical reproducibility.

Primary dataset for the Ouroboros Thesis v18 formal verification corpus. Contains the Lean 4 source (749 declarations, 15 axioms (14 unique), 163 sorries (112 baseline + 51 Putnam)), the 44 anchor formula definitions, and the DSSE-signed vitest assertion log.

Kernel green at [lutar-lean@c7c0ba17](https://github.com/szl-holdings/lutar-lean/commit/c7c0ba17). Thesis DOI: [10.5281/zenodo.20434276](https://doi.org/10.5281/zenodo.20434276).

## State (live @ c7c0ba17)

| Metric | Value | Verify |
|---|---|---|
| Lean declarations | 749 | [lutar-lean@c7c0ba17](https://github.com/szl-holdings/lutar-lean/commit/c7c0ba17) |
| Lean axioms | 15 (14 unique) | A1–A18 honest gap |
| Lean sorries | 112 baseline + 51 Putnam = 163 total | [lutar-lean@c7c0ba17](https://github.com/szl-holdings/lutar-lean/commit/c7c0ba17) |
| Locked proven | 8 {F1, F4, F7, F11, F12, F18, F19, F22} | [lutar-lean@c7c0ba17](https://github.com/szl-holdings/lutar-lean/commit/c7c0ba17) |
| Anchor formulas | 44 specified | [a11oy#114](https://github.com/szl-holdings/a11oy/pull/114) |
| Kernel green | Mathlib 4.13.0 d7317655 | [PR #106](https://github.com/szl-holdings/lutar-lean/pull/106) |
| HF Spaces | 13 | [SZLHOLDINGS org](https://huggingface.co/SZLHOLDINGS) |
| HF Datasets | 27 | [SZLHOLDINGS org](https://huggingface.co/SZLHOLDINGS) |
| HF Models | 8 | [SZLHOLDINGS org](https://huggingface.co/SZLHOLDINGS) |
| Zenodo DOIs | 6 release + 1 concept alias | [10.5281/zenodo.20434276](https://doi.org/10.5281/zenodo.20434276) |
| RAE-1 protocol | merged | [a11oy#122](https://github.com/szl-holdings/a11oy/pull/122) |

## Cross-references

- **Live proof library**: [`lean-proofs-v1`](https://huggingface.co/datasets/SZLHOLDINGS/lean-proofs-v1) — canonical live source of truth (supercedes this for current queries)
- **Thesis**: [Ouroboros Thesis v18](https://doi.org/10.5281/zenodo.20434276) · DOI 10.5281/zenodo.20434276
- **Lean companion**: [lutar-lean](https://doi.org/10.5281/zenodo.20424992) · DOI 10.5281/zenodo.20424992
- **Receipts**: [Hatun MCP](https://huggingface.co/spaces/SZLHOLDINGS/hatun-mcp) · szlholdings-hatun-mcp.hf.space
- **Verifiable corpus**: [SZLHOLDINGS/a11oy-verifiable-corpus](https://huggingface.co/datasets/SZLHOLDINGS/a11oy-verifiable-corpus) — signed receipts + kernel-checked theorems (verify-it-yourself)
- **Live demo**: [a11oy console → a-11-oy.com](https://a-11-oy.com) · [a11oy Space](https://huggingface.co/spaces/SZLHOLDINGS/a11oy) · [killinchu](https://huggingface.co/spaces/SZLHOLDINGS/killinchu)

## Provenance

| Field | Value |
|---|---|
| Ecosystem stage | `historical-snapshot` |
| Doctrine | v11 LOCKED (749/14/163 @ c7c0ba17) |
| Thesis DOI | [10.5281/zenodo.20434276](https://doi.org/10.5281/zenodo.20434276) |
| Lean companion DOI | [10.5281/zenodo.20424992](https://doi.org/10.5281/zenodo.20424992) |
| Author | Stephen Paul Lutar Jr. · [ORCID 0009-0001-0110-4173](https://orcid.org/0009-0001-0110-4173) |

---

*SZL Holdings · 17 Spaces / 29 datasets / 8 models · Lean 749/14/163 @ c7c0ba17 · Doctrine v11 LOCKED*  
*Signed-off-by: Stephen Lutar <stephenlutar2@gmail.com>*

---

[![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.19944926.svg)](https://doi.org/10.5281/zenodo.19944926)

## Citation


**Cite this.** Part of the SZL Holdings *Ouroboros Thesis* (Governed Post-Determinism).  
Concept DOI (always-latest): [10.5281/zenodo.19944926](https://doi.org/10.5281/zenodo.19944926) · This artifact’s version DOI: [10.5281/zenodo.20434276](https://doi.org/10.5281/zenodo.20434276).  
Author: Stephen P. Lutar Jr. · [ORCID 0009-0001-0110-4173](https://orcid.org/0009-0001-0110-4173) · Dataset license: Apache-2.0; the cited program publication is CC-BY-4.0.  
Full DOI-pinned lineage (v1→v26) + the 8 papers: [szl-papers PAPERS_INDEX](https://github.com/szl-holdings/szl-papers/blob/main/PAPERS_INDEX.md).

Honesty (Doctrine v11): Λ unconditional uniqueness is **Conjecture 1** (machine-checked FALSE as stated) — never a theorem; conditional uniqueness is **Theorem U** (axiom-free). Locked-proven formulas = **exactly 8** {F1,F4,F7,F11,F12,F18,F19,F22}; ~185 experimental theorems are a separate CI-green tier; Khipu BFT safety = Conjecture 2. Trust never 100%.

```bibtex
@misc{lutar_szl_ouroboros,
  author    = {Lutar, Stephen P., Jr.},
  title     = {SZL Holdings --- The Ouroboros Thesis (Governed Post-Determinism)},
  year      = {2026},
  publisher = {Zenodo},
  doi       = {10.5281/zenodo.19944926},
  url       = {https://doi.org/10.5281/zenodo.19944926},
  note      = {Concept DOI --- always resolves to the latest version. ORCID 0009-0001-0110-4173. CC-BY-4.0.}
}

@misc{lutar_ouroboros_v18,
  author    = {Lutar, Stephen P., Jr.},
  title     = {The Ouroboros Thesis v18 --- Multi-track Substrate Expansion},
  year      = {2026},
  publisher = {Zenodo},
  doi       = {10.5281/zenodo.20434276},
  url       = {https://doi.org/10.5281/zenodo.20434276}
}
```

*Signed-off-by: Stephen Lutar <stephenlutar2@gmail.com>*

---

<div align="center">

**[🛡️ SZLHOLDINGS on Hugging Face →](https://huggingface.co/SZLHOLDINGS)**   ·   **[a-11-oy.com →](https://a-11-oy.com)**   ·   **[Estate hub — live →](https://szlholdings-szl-estate-live.static.hf.space)**

### Governed AI you can prove.

<sub>SLSA: L1 honest · L2 attested · L3 roadmap. Λ = Conjecture 1 (advisory, never a theorem). Trust ceiling 0.97 — never 100%. Labels honest by default: MEASURED / REPORTED / MODELED / HEURISTIC / UNKNOWN / UNAVAILABLE. locked-proven = exactly 8 {F1,F4,F7,F11,F12,F18,F19,F22}.</sub>

</div>