Axiom Prover

Axiom Prover is the theorem-proving system discussed by Hong Letong / 洪乐潼 in 137. 对洪乐潼的4小时访谈：AI for Math、把数学变成Lean、数学天书中的证明、直觉、被创造与被发现的. The source presents it as the central system built by Axiom for AI For Math, Interactive Theorem Proving, and eventually Formal Verification.

Source Position

• The episode says Axiom Prover solved all 12 problems from the 2025 Putnam Competition exam after the team formalized the problems.
• Its proofs may be long and unlike human proofs, which supports Hong’s claim that AI mathematical reasoning can be useful before it becomes elegant.
• Hong wants the system to move beyond proving into conjecturing, knowledge use, auto-formalization, and self-verifying reasoning.
• The episode connects Axiom Prover’s math capability to code verification, where proving program properties may become more important than generating more code.

Connections

• Axiom and Hong Letong / 洪乐潼 — company and founder behind the system in the source.
• Lean Theorem Prover, Mathlib, and Interactive Theorem Proving — formal substrate used to check proofs.
• AI For Math, AI Mathematician, Auto-Formalization, and Mathematical Abundance — larger capability stack.
• Formal Verification, AI Verification, and AI Coding Verification — downstream verification markets and concepts.