Formal Verification of the Triadic Modulo-9 Topology in Lean 4

We publish the foundational axioms of the Ouroboros Matryoshka framework formalized in the Lean 4 proof assistant. The compiler confirms the theorem that multiplicative propagation strictly converges all integers to the equilibrium anchor.Formal Verification & Source Code: The rigorous Lean 4 proofs and framework codebase are open-source and available at the Ouroboros GitHub Repository.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-23
DOI
https://doi.org/10.5281/zenodo.21516869
Primary Topic
Advanced Authentication Protocols Security
Type
article
Field-Weighted Citation Impact
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article

Formal Verification of the Triadic Modulo-9 Topology in Lean 4

Bruno Luçardo Olivaes
Zenodo (CERN European Organization for Nuclear Research)
Advanced Authentication Protocols Security
article

Formal Verification of the Triadic Modulo-9 Topology in Lean 4

Bruno Luçardo Olivaes
article en

Abstract

We publish the foundational axioms of the Ouroboros Matryoshka framework formalized in the Lean 4 proof assistant. The compiler confirms the theorem that multiplicative propagation strictly converges all integers to the equilibrium anchor.Formal Verification & Source Code: The rigorous Lean 4 proofs and framework codebase are open-source and available at the Ouroboros GitHub Repository.

Zenodo (CERN European Organization for Nuclear Research)
Universidad de Matamoros (MX)
Openalex Percentile: Top 7%
Advanced Authentication Protocols Security
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Formal Verification of the Triadic Modulo-9 Topology in Lean 4 — Bruno Luçardo Olivaes · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS