Can LLMs Generate Mathematical Proofs that can be Rigorously Checked? Meet LeanDojo: An Open-Source AI Playground With Toolkits, Benchmarks, and Models for Large Language Models to Prove Formal Theorems in the Lean Proof Assistant

AI summary: Researchers from Caltech, NVIDIA, MIT, UC Santa Barbara, and UT Austin have developed LeanDojo, an open-source toolkit for large language model-based theorem proving. The toolkit, built around the Lean proof assistant, enables models to interact with Lean programmatically. The team also created ReProver, a cost-effective prover that uses LeanDojo’s data extraction capabilities for premise selection. The researchers have also developed a benchmark dataset for evaluation and further research.
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