AI Briefing
KO

MathCode: Mathematical Coding Agent

·2026.08.17 03:17

Key point

MathCode is an AI coding agent that converts natural language math problems into Lean 4 theorems and performs automated proofs.

Details

MathCode is a terminal-based AI coding assistant with a built-in mathematical formalization engine. It automatically converts natural language math problems into Lean 4 theorems and attempts proofs via a persistent Lean REPL.

Key features include:

  • Persistent Lean REPL: Reduces compile check speed from approximately 30 seconds to 0.4 seconds, providing fast feedback.
  • Theorem and Axiom Library: Automatically names and stores proven theorems for reuse by the planner.
  • LSP Integration: Searches leansearch.net and Loogle to utilize Mathlib lemmas and uses structured LSP diagnostics.
  • Obsidian Knowledge Graph: Generates an Obsidian vault that visualizes dependencies between theorems and lemmas.
  • Agent Mode Proving: Provides interactive sessions that write candidates, read errors, and recompile.
  • Tree-of-Subgoals: Decomposes complex theorems into independent subgoals, proves them in parallel, and then recombines them.
  • Multi-Planner: Runs multiple planners in parallel for various proof strategies and selects the optimal approach.

This mathematical formalization and proof pipeline is based on the AUTOLEAN project.

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