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openai/NavierStokesAndEuler

View on GitHub ↗ ★ 2,120 Lean

Lean certificates accompanying Navier-Stokes and Euler results

20 mentions on Hacker News by 15 people: 2 stories, 18 comments · first 2026-09-08 · latest 2026-10-08

Mentions per year 20 mentions · busiest year 2026 (20)
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  1. …proof in NL, and then afterwards either accidentally or on purpose use a Lean kernel bug. [1]: https://github.com/openai/NavierStokesAndEuler/blob/main/Com... edit: Probably also worth to mention that the proof have been checked both by…
    comment by latent-person · 2026-10-08 · in Navier–Stokes Lost in Translation
  2. …says [2], that the theorem was written independently by formal conjectures, not by the LLM. [1]: https://github.com/openai/NavierStokesAndEuler/blob/main/Com... [2]: https://github.com/openai/NavierStokesAndEuler/blob/main/Com...
    comment by latent-person · 2026-10-07 · in Navier–Stokes Lost in Translation
  3. …it was enough in this case. The theorem had been written by formal conjectures before the proof https://github.com/openai/NavierStokesAndEuler/blob/main/Com...
    comment by latent-person · 2026-10-07 · in Navier–Stokes Lost in Translation
  4. …The Navier-Stokes proof is 57 pages of very dense math and a pretty crazy amount of code: https://github.com/openai/NavierStokesAndEuler/tree/main/Nav... Given the close relationship between compression and intelligence, I'm somewhat…
    comment by aeternum · 2026-09-13 · in Fable 5.1 Solves the Cyphral Distich, a 370-year-old cipher
  5. …they actually solved the correct theorem from the result, which they copied from Google/DeepMind: https://github.com/openai/NavierStokesAndEuler/blob/f9e8bc5b... - this is valid for both Euler and NS. Also, they validated with an external…
    comment by rawland · 2026-09-12 · in Navier-Stokes Announcement
  6. OpenAI avoids this by formally verifying the proof. https://github.com/openai/NavierStokesAndEuler
    comment by charcircuit · 2026-09-11 · in A misalignment of AI in mathematics
  7. …"PeriodiocPaperTheorem.lean", and "WholeDomainPhysicalStageTheorem.lean"). https://github.com/openai/NavierStokesAndEuler/blob/main/Nav... ?
    comment by Jblx2 · 2026-09-11 · in OpenAI’s Navier-Stokes release included a Lean 4 formal proof
  8. …comments 09 Sep 2026 17:33:47 UTC | Lean certificates accompanying Navier-Stokes and Euler results | http://github.com/openai/NavierStokesAndEuler/tree/main | https://news.ycombinator.com/item?id=49630159 | 0 comments 09 Sep 2026 18:54:55…
    comment by 1vuio0pswjnm7 · 2026-09-10 · in The Navier–Stokes Millennium Prize Problem
  9. Didn't OpenAI make a Lean proof? https://github.com/openai/NavierStokesAndEuler/tree/main/Nav... "This repository contains Lean 4 formalizations of the results presented in “Finite time blowup for Navier–Stokes” and “Finite time blowup for…
    comment by dekhn · 2026-09-09 · in How An AI math breakthrough ignited a controversy
  10. …[1] precedent to the derivations? How to tree shake Lean4? (Edit: `lake shake`,) [1] https://github.com/openai/NavierStokesAndEuler/tree/main/Nav...
    comment by westurner · 2026-09-09 · in Navier-Stokes – Tristan Buckmaster [pdf]
  11. …ps://cdn.openai.com/pdf/315b36cd-ec98-4023-8342-93345194e... Lean proof: openai/NavierStokesAndEuler: https://github.com/openai/NavierStokesAndEuler
    comment by westurner · 2026-09-09 · in Navier-Stokes – Tristan Buckmaster [pdf]
  12. …of messages and using billions of output tokens over 88 hours. The result being a huge Lean proof: https://github.com/openai/NavierStokesAndEuler . It's not just possible for humans to manually guide such a process in a meaningful way.…
    comment by nayroclade · 2026-09-09 · in How An AI math breakthrough ignited a controversy
  13. …statement you need to check. Here is what they showed, which is under 300 lines with comments https://github.com/openai/NavierStokesAndEuler/blob/main/Com...
    comment by latent-person · 2026-09-09 · in The Navier–Stokes Millennium Prize Problem
  14. …also right that sometimes the problem statement can be wrong but it is highly unlikely here. [0] https://github.com/openai/NavierStokesAndEuler/blob/main/Com...
    comment by tim-kt · 2026-09-09 · in On the Navier–Stokes Millennium Prize Problem
  15. …an existing Lean statement of the problem in the formal-conjectures repository, which they re-used: https://github.com/openai/NavierStokesAndEuler/blob/8937a8f4...
    comment by Aaron1011 · 2026-09-08 · in On the Navier–Stokes Millennium Prize Problem
  16. …and trust that your lean compiler works correctly, the proof will be correct. That file should be https://github.com/openai/NavierStokesAndEuler/blob/main/Com... in this case (286 lines).
    comment by kzrdude · 2026-09-08 · in On the Navier–Stokes Millennium Prize Problem
  17. Here's the formalization / lean verification: https://github.com/openai/NavierStokesAndEuler
    comment by jgbuddy · 2026-09-08 · in On the Navier–Stokes Millennium Prize Problem
  18. It's here: https://github.com/openai/NavierStokesAndEuler
    comment by charlierguo · 2026-09-08 · in Navier-Stokes – Tristan Buckmaster [pdf]