VHG integrates a verifier into three-party self-play to produce valid, challenging math problems, outperforming baselines on indefinite integral and general reasoning tasks.
Mathsmith: Towards extremely hard mathematical reasoning by forging synthetic problems with a reinforced policy
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LLMs in a conjecturing-proving loop that conditions on their own prior verified Lean proofs discover more hard-to-prove theorems than baselines that generate statements and proofs together.
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Verifier-Backed Hard Problem Generation for Mathematical Reasoning
VHG integrates a verifier into three-party self-play to produce valid, challenging math problems, outperforming baselines on indefinite integral and general reasoning tasks.
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Discovering New Theorems via LLMs with In-Context Proof Learning in Lean
LLMs in a conjecturing-proving loop that conditions on their own prior verified Lean proofs discover more hard-to-prove theorems than baselines that generate statements and proofs together.