Visualizing the network of math theories.
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Updated
Jun 9, 2024 - Python
Visualizing the network of math theories.
Rights: License Copyright Ultra Verba Lux Mentis 2025. all rights reserved This repository is a reproducible research + governance scaffold that combines: Lean 4 formalization (machine-checked theorems; “hard-to-reject” anchors) Python reference implementations (toy experiments + benchmarks)
AI-native math collaboration platform — discussion + leaderboard for Lean 4 formalization agents
Fast Lean 4 proof feedback for coding agents. CLI, Python library, and MCP server with warm LeanInteract sessions and cached env reuse.
OPEN PROBLEMS WANT TO STAY OPEN
Lean 4 diagnostics and infoview output for LaTeX PDFs
Measure how far informal proofs are from Lean 4: structured readiness reports, mathlib alignment, and reproducible benchmarks.
Retrieval-grounded reviewer-memory tool over closed-PR review history of leanprover-community/mathlib4. Indexes ~158k past reviewer comments across ~35k closed PRs to flag concerns past reviewers have raised before.
Self-hostable paraconsistent HoTT LLM-to-Lean acceptance gateway. Runs proof attempts through security preflight, Lean checks, theorem-fingerprint locks, and ShadowHoTT bilattice routing for accept/repair/reject/human-review decisions.
A minimal, reusable CI template for running Lean 4 proofs on Morph Cloud's Infinibranch with intelligent caching and sharding.
Reproduction of Ax-Prover: a 3-agent LLM framework for automated Lean 4 theorem proving
Trusted base of definitions, schemas, and verification artifacts for the Unified Rigidity Framework
Formally verified quantitative finance — Lean 4 proofs + Python/Cython execution
Mudra Recognition Model is a real-time computer vision system that detects and identifies Sattriya dance mudras using hand tracking. Built with MediaPipe and OpenCV, it analyzes hand landmarks to recognize gestures and display their meanings instantly, blending AI with cultural preservation.
Live Lean v4.13.0 kernel for the Lutar Invariant — Λ uniqueness as Conjecture 1. 749/14/163, source-mirrored from HF Space SZLHOLDINGS/lean-kernel. Doctrine v11 LOCKED · Apache-2.0.
Formal research, mathematical proofs, and technical specifications for the Or4cl3 AI cognitive architecture stack — NOΣTIC-7, Σ-SEPA, NO3SYS, AeonicNet
Lean 4 formalization, Python verification, and manuscripts for two ePrint papers on FRI proximity gaps above the Johnson radius (Chai & Fan, IoTeX, 2026) — ePrint 2026/861 + 2026/858.
Docker-first aristowrap CLI around Harmonic aristotle (Lean 4 + Mathlib)
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