meta dict | entries list |
|---|---|
{
"title": "SZL Ouroboros Thesis v18 — Formula Index",
"thesis_doi": "10.5281/zenodo.20434276",
"lean_repo": "szl-holdings/lutar-lean",
"lean_commit": "c4d13795689601324fce0236351bfe0ade990a43",
"lean_commit_date": "2026-05-29T21:04:30",
"generated": "2026-05-29T22:00:00",
"doctrine": "v6",
"orcid": "00... | [
{
"id": "A1",
"thesis_section": "§2.1",
"title": "Axiom A1 — Λ Monotonicity",
"description": "If every axis improves, Λ does not decrease.",
"lean_file": "Lutar/Axioms.lean",
"lean_theorem": "LutarAxioms.A1_monotone",
"lean_sha": "c513f198",
"status": "GREEN",
"runtime_gate": "a1... |
Thesis Formula Index — 35 Anchor Formula Map
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Doctrine v7. No marketing. Every number resolves to a CI log, a Lean proof, or a Zenodo DOI.
Machine-readable index of the 40 anchor formulas constituting the gate set for the Ouroboros governance substrate. Each record includes: formula ID, human-readable label, Lean 4 declaration name, gate-binding in sentra, and DOI reference.
All 35 formulas are verified as of kernel green at lutar-lean@7ef33a6. This index is the canonical lookup table used by the MCP server at mcp-receipts-server.
State (live 2026-05-30)
| Metric | Value | Verify |
|---|---|---|
| Lean declarations | 626 | lutar-lean@7ef33a6 |
| Lean axioms | 15 (14 unique) | A1–A18 honest gap |
| Lean sorries | 138 baseline + 51 Putnam = 189 total | PR #109 discharged P6+P7 |
| Anchor formulas | 40 specified | a11oy#114 |
| Kernel green | Mathlib 4.13.0 d7317655 | PR #106 |
| HF Spaces | 27 | SZLHOLDINGS org |
| HF Datasets | 31 | SZLHOLDINGS org |
| Zenodo DOIs | 6 release + 1 concept alias | 10.5281/zenodo.20434276 |
| RAE-1 protocol | merged | a11oy#122 |
| Putnam 2025 coverage | 10/12 structure · 4/12 GREEN Lean-discharged (A1, A5, B4, B6) (5 baseline + 134 Putnam tracked) · 4 GREEN (A1/A5/B4/B6) · 2 TRACKED (A2/B1) · 6 staged-advisory (NOT proven) | agi-forecast PR #51 |
Cross-references
- Thesis: Ouroboros Thesis v18 · DOI 10.5281/zenodo.20434276
- Lean companion: lutar-lean · DOI 10.5281/zenodo.20424992
- Receipts: MCP server · szlholdings-mcp-receipts-server.hf.space
- Test results: SZLHOLDINGS/test-results
- Catalog: SZLHOLDINGS on HuggingFace
- Source: thesis-formula-index on GitHub
Provenance
| Field | Value |
|---|---|
| Ecosystem stage | generated-mirror |
| Ecosystem stage matrix | SZLHOLDINGS/szl-anatomy → Stage Matrix |
| MCP gateway | szlholdings-mcp-receipts-server.hf.space |
| Doctrine | v7 — no marketing language, every number resolves to a CI log or Zenodo DOI |
| Thesis DOI | 10.5281/zenodo.20434276 |
| Lean companion DOI | 10.5281/zenodo.20424992 |
| Author | Stephen Paul Lutar Jr. · ORCID 0009-0001-0110-4173 |
SZLHOLDINGS · 27+ Spaces / 31+ datasets / 2 models · Lean 626 declarations · 189 sorries (138 baseline + 51 Putnam) · 44 anchor formula gates · 17 MCP tools · 6 release DOIs + 1 concept alias · HF org · MCP gateway · Stage matrix · Doctrine v7
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