Last week, OpenAI demonstrated that AI systems can help discover new mathematics approaches in its recent counterexample to a conjecture of Paul Erdős announcement. We at Logical Intelligence took that as a challenge as well and formally verified the result in Lean 4 using the latest version of our Aleph Prover agentic system. The result is now a machine-checkable artifact in Lean 4.
This was a real hurdle for our new improved version of Aleph Prover to overcome to demonstrate that it can solve more complicated problems for extended periods of time.
We are happy to see more top companies working in that direction. We firmly believe that verifiable AI is the future and we’re excited to be part of that.
NEW: Aleph Prover has formalized OpenAI’s disproof of Paul Erdős’ planar unit problem.
We are releasing the formalization as open source so that other researchers can inspect, extend, and independently validate the result.
See it here: https://t.co/JR7M0tWQVN