● Covered by 1 source · 1 reportMedium impact1 neutral
MathCode AI Assistant Converts Math Problems to Lean 4 Theorems and Proofs
Key points
- Converts plain language math problems into Lean 4 theorems.
- Features a persistent Lean language server for faster compile checks.
- Stores and reuses proved theorems and axioms.
- Generates an Obsidian knowledge graph of theorem dependencies.
Introduction to MathCode
MathCode is a newly released terminal-based AI coding assistant designed for mathematical formalization. It takes a math problem described in plain language and automatically translates it into a Lean 4 theorem. The system then attempts to generate a formal proof for the theorem.
Core Functionality and Features
The assistant includes a persistent Lean REPL, allowing for continuous interaction and development. It builds reusable libraries of theorems and axioms, which are automatically named, stored, and made importable for future use. MathCode also incorporates agentic proving, where the AI writes proof candidates, processes errors, and recompiles. The system can decompose complex theorems into subgoals, proving them in parallel before stitching them together, and runs multiple planners for diverse proof strategies.
Technical Integrations and Workflow
MathCode features a persistent Lean language server that reduces compile check times to approximately 0.4 seconds after an initial warmup. It searches leansearch.net and Loogle for verified Mathlib lemmas and uses structured Language Server Protocol (LSP) diagnostics for repairs. Additionally, the tool generates an Obsidian vault that visualizes theorem-to-lemma dependencies as a knowledge graph, providing a clear overview of mathematical relationships. The underlying math formalization and proving pipeline is based on the AUTOLEAN project.
System Requirements and Availability
MathCode requires macOS (arm64) or Linux (x86_64) and the codex CLI for its default backend. Installation involves cloning the GitHub repository, running a setup script, and authenticating with codex. A browser user interface is also available. The project is open-source and available on GitHub.
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Reporting from
MathCode is a new terminal AI coding assistant that formalizes mathematical problems into Lean 4 theorems and attempts to prove them. This tool integrates a persistent Lean REPL, reusable theorem libraries, and agentic proving, which could accelerate mathematical formalization and verification processes.