By bigmac0
Decision-tree skill for validating Lean kernel checkers via persistent homology of cogitator reasoning steps. Backs an 11-checker × N-prime grid with VR/PH topology and a QPE Betti estimator.
A Claude Code skill plugin that validates the eleven Lean kernel checkers against a topological model of their cogitator reasoning steps. Backed by persistent homology of an sbert-embedded point cloud, with a Qiskit QPE estimator for higher-dimensional regimes.
Given an inductive Lean goal (IsPrime n, fib k = n, or
1-category consistency), it walks a pregroup-grammar decision tree
to produce a per-checker trust ranking grounded in:
M ∈ {0,1}^{11×N} from
lean-kernel-arena/_results/,_prime_homology_build/parsed_steps.csv,docs/prime_kernel_homology.ipynb),LeanCat/CAT_statement/S_rellm_consistency.lean.# clone this repo somewhere
git clone https://github.com/bigmac0/cogitator-validator.git
# or point Claude at the local folder via the marketplace.json
Claude reads .claude-plugin/marketplace.json and exposes the
skill under cogitator-validator:cogitator-validator.
cogitator-validator/
├── .claude-plugin/
│ ├── plugin.json
│ └── marketplace.json
├── skills/
│ └── cogitator-validator/
│ └── SKILL.md ← spec / decision tree / estimator routing
├── docs/
│ ├── plan.md ← implementation plan
│ ├── prime_kernel_homology.ipynb ← source pipeline (sections 1–10)
│ ├── implementation-record.tex
│ └── logo.svg
├── README.md ← this file
└── LICENSE
Ivan Rojas ([email protected])
MIT
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