Major announcement in mathematical formalization!
Finally, after 3 months of very intensive, nonstop work by several AI agents (Codex and Claude Code), we have settled a classification of ALL 15,973 semigroups of order 6. Every one of the 15,969 that has a finite basis now has it written down explicitly, and the remaining 4 are proved to have none at all.
The whole list of bases is produced for the first time in history. Until now, for most of these semigroups, mathematicians only knew that a basis exists; nobody had ever written one down. The formalization in Lean, orchestrated with a multi-agent approach, reached more than 5 MILLION lines of verified Lean code, one of the largest auto-formalization projects to date.
It's been an amazing joint work with @JanotaMikolas and @Jan_Hula, accompanied by senior experts in semigroup theory, João Araújo and Edmond W. H. Lee.
Our paper describing this project, "Proving at Scale for Universal Algebra", has been accepted at the MATH-AI workshop, NeurIPS 2026!
When we launched this project, we were a bit pessimistic: producing proofs for 15,973 semigroups seemed out of scope for the current technology. But with a careful setup (agents communicating through a mailbox we arranged, orchestrating the effort with a custom method of bootstrapping and auto-research), it has finally come to the finish line. The last 390 semigroups took 23 more days. The very last one needed a whole structural analysis before its proof could even be written.
@nasqret Inżynierowie oprogramowania i matematycy w jakiś sposób dzielą dylemat efektów ubocznych inżynierii AI/agentów, ale naprawdę rozbawiły mnie żarty, które rzuciłeś...
I vibecoded this neural network visualization for my students and open sourced it.
It shows a simple MLP trained on MNIST handwritten digits at several training steps. The visualization is using @threejs and it comes with training code in @PyTorch .
Link + repo 👇
LinkedIn is now using everyone's content to train their AI tool -- they just auto opted everyone in.
I recommend opting out now (AND that orgs put an end to auto opt-in, it's not cool)
Opt out steps: Settings and Privacy > Data Privacy > Data for Generative AI Improvement (OFF)
Today we're excited to introduce Devin, the first AI software engineer.
Devin is the new state-of-the-art on the SWE-Bench coding benchmark, has successfully passed practical engineering interviews from leading AI companies, and has even completed real jobs on Upwork.
Devin is an autonomous agent that solves engineering tasks through the use of its own shell, code editor, and web browser.
When evaluated on the SWE-Bench benchmark, which asks an AI to resolve GitHub issues found in real-world open-source projects, Devin correctly resolves 13.86% of the issues unassisted, far exceeding the previous state-of-the-art model performance of 1.96% unassisted and 4.80% assisted.
Check out what Devin can do in the thread below.
Elon’s goal of creating a platform that is “maximally trusted and broadly inclusive” is the right one. This is also @paraga’s goal, and why I chose him. Thank you both for getting the company out of an impossible situation. This is the right path...I believe it with all my heart.
New IPO Alert! CTS Global Equity Group files for a Php 1.38B IPO. According to the preliminary prospectus, tentative offer period starts at February 21, 2022 and is set to list on March 09, 2022
*Offer price with a maximum of Php 1.00 per share