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Ouroboros Thesis v18 — Formal Verification
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, which is kept current with each Lean kernel update. Uselean-proofs-v1for 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. Thesis DOI: 10.5281/zenodo.20434276.
State (live @ c7c0ba17)
| Metric | Value | Verify |
|---|---|---|
| Lean declarations | 749 | lutar-lean@c7c0ba17 |
| Lean axioms | 15 (14 unique) | A1–A18 honest gap |
| Lean sorries | 112 baseline + 51 Putnam = 163 total | lutar-lean@c7c0ba17 |
| Locked proven | 8 {F1, F4, F7, F11, F12, F18, F19, F22} | lutar-lean@c7c0ba17 |
| Anchor formulas | 44 specified | a11oy#114 |
| Kernel green | Mathlib 4.13.0 d7317655 | PR #106 |
| HF Spaces | 13 | SZLHOLDINGS org |
| HF Datasets | 27 | SZLHOLDINGS org |
| HF Models | 8 | SZLHOLDINGS org |
| Zenodo DOIs | 6 release + 1 concept alias | 10.5281/zenodo.20434276 |
| RAE-1 protocol | merged | a11oy#122 |
Cross-references
- Live proof library:
lean-proofs-v1— canonical live source of truth (supercedes this for current queries) - Thesis: Ouroboros Thesis v18 · DOI 10.5281/zenodo.20434276
- Lean companion: lutar-lean · DOI 10.5281/zenodo.20424992
- Receipts: Hatun MCP · szlholdings-hatun-mcp.hf.space
- Verifiable corpus: SZLHOLDINGS/a11oy-verifiable-corpus — signed receipts + kernel-checked theorems (verify-it-yourself)
- Live demo: a11oy console → a-11-oy.com · a11oy Space · killinchu
Provenance
| Field | Value |
|---|---|
| Ecosystem stage | historical-snapshot |
| Doctrine | v11 LOCKED (749/14/163 @ c7c0ba17) |
| Thesis DOI | 10.5281/zenodo.20434276 |
| Lean companion DOI | 10.5281/zenodo.20424992 |
| Author | Stephen Paul Lutar Jr. · ORCID 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
Citation
Cite this. Part of the SZL Holdings Ouroboros Thesis (Governed Post-Determinism).
Concept DOI (always-latest): 10.5281/zenodo.19944926 · This artifact’s version DOI: 10.5281/zenodo.20434276.
Author: Stephen P. Lutar Jr. · ORCID 0009-0001-0110-4173 · License CC-BY-4.0.
Full DOI-pinned lineage (v1→v26) + the 8 papers: szl-papers PAPERS_INDEX.
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%.
@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
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