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OpenAI research shows LLMs can solve nine open math problems from COLT, FOCS, commutative algebra, and Erdős problems using a simple pipeline with GPT-5.5 Pro and Claude Opus 4.8, with Lean formalizations.
This paper presents NSPI, a neuro-symbolic framework that combines LLMs and symbolic computation to prove polynomial inequalities. It uses LLM-generated sum-of-squares conjectures, refines them symbolically, and formally verifies the proofs in Lean, demonstrating scalability on polynomials with up to 10 variables.