AI theorem prover struggles with global math proof in Lean 4

This paper details a case study using the Aristotle API for AI-assisted theorem proving within the Lean 4 formalization environment. The study focused on the Grasshopper problem, a challenge from IMO 2009. While the AI generated verified lemmas for local proof components, it left the main theorem unresolved, highlighting a limitation in AI's ability to handle global combinatorial bookkeeping required for complex mathematical proofs. AI

影响 Demonstrates current limitations of AI in complex mathematical formalization, particularly in global combinatorial reasoning.

排序理由 Academic paper detailing a formalization case study using an AI tool. [lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv cs.AI 阅读 →

• Aristotle API
• Gabriel Rongyang Lau
• IMO 2009 Problem 6

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