The computer science collaboration will understand and explain a result concerning the Exponential Time Hypothesis (ETH), a longstanding conjecture about the computational complexity of Boolean formula satisfiability, a problem deeply related to the P vs. NP problem. Surprisingly, our system has recently proved that the ETH is false, a result that was subsequently verified in Lean. The refutation of the ETH reopens questions about how much faster these tasks could become, and may help guide the search for better algorithms. Finding such algorithms, and turning theoretical advances into practical improvements, will require significant further research. Our system found its natural language disproof for the ETH we reached out to to @rrwilliams. Ryan will form a collaboration with Russell Impagliazzo and Ramamohan Paturi to verify and shepherd this result. Impagliazzo and Paturi, along with Francis Zane, are the original proposers of the Exponential Time Hypothesis, and Williams has refuted strong versions of the ETH, used ETH for hardness results, and connected algorithms and lower bounds. This group asked us to make all raw data of the results public to facilitate independent verification by the community, which we have done by posting the natural language proof and Lean formalization to our GitHub repo. The group also invites the community to help organize an open examination of the ETH claim and to discuss the broader questions that AI-generated breakthroughs raise about verification, access, credit, and the future of research.

We've updated our GitHub math repo with 6 new Lean formalizations, 19 modifications, and 3 withdrawals. The repo now has ~42% top-line results formalized. We will continue to update the repo with new formalizations and with any errata we notice.

I will be continuing my Protecting the Texas Promise tour this Wednesday in El Paso with @TheAKGuy Brandon Herrera! Doors open at 4:30. Join the fight to SAVE TEXAS! REGISTER HERE:

Talarico’s fave drag queen grooms children, called a 10-year-old his “mini-me,” and pushes child drag shows. Talarico headlined a 2021 Pride event with an 11-year-old drag kid. He can run, but he can’t hide. This is not someone who represents Texans.

President Trump knows that if we lose Texas, we lose America. We must fight every day to protect our great state and the values that make America exceptional. I can’t thank President Trump enough for his incredible support. 40 days to win this. Join us at

This is blasphemy. James Talarico is trying to convince Texans he is a moderate pastor, but this is what his church represents. They boast about hanging a trans flag on the cross and hand out “inclusive” Bibles.