Claude Code: An Unexpected Breakthrough in AI-Assisted Interactive Theorem Proving
2025-09-20
Anthropic's Claude Code AI coding agent surprisingly excels at interactive theorem proving (ITP). ITP tools like Lean, while powerful and reliable, are time-consuming and error-prone. Claude Code can independently complete many complex proof steps, although human guidance is still needed. However, it hints at a future where ITP tools won't require experts, making them accessible to a wider audience. The article delves into Claude Code's capabilities and limitations, detailing the author's experience formalizing an old paper using it. While slower than manual work, it demonstrates AI's immense potential in formal methods, offering hope for broader ITP adoption.