AI-Powered Translation of Logical Foundations Textbook Achieves 350x Speed-Up in Verified Software Engineering
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alpaylan
2mo ago· 30 min readenInsight
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Summary
Researchers present lf-lean, a verified translation of the entire Logical Foundations textbook from Rocq to Lean, accomplished using frontier AI with only ~2 person-days of human effort compared to an estimated ~2.75 person-years manually—a 350x speed-up. The breakthrough comes from task-level specification generators that allow correctness to be defined once for entire classes of software transformations and checked automatically across all instances, scaling human oversight from linear to constant time regardless of program complexity. This result suggests verified software engineering is advancing faster than expected.
Key quotes
· 4 pulledWe present lf-lean, a verified translation of all 1,276 statements of the Logical Foundations textbook from Rocq to Lean, produced by frontier AI with ~2 person-days of human effort versus an estimated ~2.75 person-years manually (a 350x speed-up).
We achieve this through task-level specification generators: because many software transformations are semantics-preserving, correctness can be defined once for an entire task class and checked automatically across all instances and codebases.
This scales human oversight from 𝒪(𝓃) to 𝒪(1) regardless of program complexity.
Placed on METR's time horizon graph, our result suggests verified software engineering is advancing faster than expected.
We present lf-lean, a verified translation of all 1,276 statements of the Logical Foundations textbook from Rocq to Lean, produced by frontier AI with ~2 person-days of human effort versus an estimated ~2.75 person-years manually (a 350x speed-up). We ach
