Navier-Stokes lost in translation: Why Lean verification of AI autoformalisation does not guarantee correct natural language proofs
- View PDF HTML (experimental) Abstract:Autoformalisation is increasingly used to verify mathematical texts, including those generated by AI, as in OpenAI's announced proof of blow-up of solutions to the Navier-Stokes equations.
- In this process, an AI system translates the text from a natural language (NL) into a formal language such as Lean.
- Once this translation is done, the argument expressed in the formal language can easily be mechanically verified.
Unverified
- View PDF HTML (experimental) Abstract:Autoformalisation is increasingly used to verify mathematical texts, including those generated by AI, as in OpenAI's announced proof of blow-up of solutions to the Navier-Stokes equations.
- In this process, an AI system translates the text from a natural language (NL) into a formal language such as Lean.
- Once this translation is done, the argument expressed in the formal language can easily be mechanically verified.
Sources: Arxiv