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AI theorem prover struggles with global math proof in Lean 4

By PulseAugur Editorial · [1 sources] ·

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.

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

Read on arXiv cs.AI →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

AI theorem prover struggles with global math proof in Lean 4

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

  1. arXiv cs.AI TIER_1 English(EN) · Gabriel Rongyang Lau ·

    Using Aristotle API for AI-Assisted Theorem Proving in Lean 4: A Formalisation Case Study of the Grasshopper Problem

    AI-assisted theorem proving can now generate substantial Lean developments for olympiad-level mathematics, but the evidential status of such developments depends on which declarations are actually verified. This paper reports a Lean 4 formalization case study of an Aristotle API …

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