Using Aristotle API for AI-Assisted Theorem Proving in Lean 4: A Formalisation Case Study of the Grasshopper Problem
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
IMPACT Demonstrates current limitations of AI in complex mathematical formalization, particularly in global combinatorial reasoning.