4Leibniz: Formal Relational Information Geometry & Automated Verification

Dedicated to Gottfried Wilhelm Leibniz's relational foundations of geometry, monadology, and universal characteristic (Characteristica Universalis).

This dataset contains machine-checked Lean 4 formalizations, relational information geometry lemmas, automated adjudications, and cross-shard verification artifacts for the 4Leibniz project:

• Lean 4 Formal Proofs: Machine-verified proofs in relational geometry, spectral gap bounding, and consensus invariants.
• Relational Geometry Benchmarks: Empirical and synthetic adjudications across relational topologies.
• Corpus & Adjudication Ledgers: Curated corpus documents and verification receipts.

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🔗 Canonical Links & Provenance

• GitHub Source of Truth: https://github.com/Mega-Therion/4Leibniz
• Living Archive Web: https://github.com/Mega-Therion/4leibniz-web
• Leibniz Companion: https://github.com/Mega-Therion/leibniz-oracle
• Research Atlas: https://resnova-hub-f4ucvy3e.manus.space
• Author: Ryan W. Yett (ORCID: 0009-0001-1303-7190)
• LinkedIn: R.W. Yett
• X (Twitter): @ChyRho

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📂 Structure

• Leibniz/ & Leibniz.lean: Core Lean 4 mathematical source code and formal definitions.
• benchmarks/: Benchmark suites for relational metric evaluation and performance metrics.
• corpus/: Leibniz historical and translated text corpus for retrieval-grounded verification.
• adjudications.jsonl: Multi-prover evaluation records.
• lean-dependency-report.json: Full AST dependency graph and axiom tracking.
• proof-receipt.json: Cryptographic verification receipts and signatures.