Software researchers utilized the Opus 5.5 artificial intelligence model to translate the reference implementation of Python directly into machine-checked proofs within the Lean language. Because the popular language lacks a precise written specification, edge-case bugs frequently evade detection in its underlying C code. This rigorous verification effort forces exact definitions for every execution path and has already exposed hundreds of hidden flaws, including severe memory-corruption bugs.
Key points
Converting CPython to the Lean language eliminates functional ambiguity by strictly defin…: Converting CPython to the Lean language eliminates functional ambiguity by strictly defining arithmetic overflow, error handling, and other hidden edge cases.
Candidate functions undergo testing across tens of thousands of inputs prior to proof gen…: Candidate functions undergo testing across tens of thousands of inputs prior to proof generation to keep the AI from creating trivial proofs.
Mathematical proofs can diverge from real-world execution if initial model parameters err…: Mathematical proofs can diverge from real-world execution if initial model parameters erroneously assume operations like memory allocation cannot fail.
Sources checked by our analysis pipeline: 1
AI agents wrote 613,318 lines of Lean that copy Python's internals line by line, tested every piece against the real Python, had a computer check every proof, and turned up 418 bug reports in Python along the way.
TL;DR
- We pointed Opus 5.5 at CPython, the program that runs almost all Python code, and had it rewrite its functions in Lean, a language for writing machine-checked proofs.
- Each rewrite copies the original line by line and is tested against real Python on tens of thousands of inputs before anyone tries to prove anything about it.
- A function only counts once a second agent, which didn't write it, checks the work and agrees it holds up. 4,071 functions have passed that check so far.
- The result is 613,318 lines of Lean across 1,539 files, with 18,898 theorems and lemmas, all checked by Lean's proof checker on every build.
- Along the way the proofs turned up 418 bug reports. Most are small, but about 55 can crash the interpreter or corrupt memory from ordinary Python code.
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