Using algebra and LLMs to verify a flight-plan bug fix in Lean
Summary
The article explores using algebraic abstractions in Lean to verify a flight-plan bug fix, showing that LLMs struggle with specs but excel at routine proofs when guided by algebraic structure. It highlights a hybrid approach: formalizing the problem algebraically, reconciling plans, and proving termination and correctness, with practical executable models. The takeaway is that algebra can significantly aid formal verification, even as LLMs remain imperfect at high-level specification.