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18:41, 31 October 2026
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Russian Mathematicians Teach AI Agents to Prove Theorems

Russian mathematicians, together with their Vietnamese colleagues, have created a system with which AI agents have proved more than 30 new theorems.

Photo: airi.net

According to a statement from the press service of the AIRI Artificial Intelligence Institute, the system allows agents to formulate mathematical optimization problems and rigorously prove results. It is compatible with various AI agents and automatically verifies proofs by composing algorithms in the Lean language. This rules out convincing but erroneous solutions.

"Our system proved more results in a couple of days than I have in my entire career. It is hard to decide how I feel about that, but it is very interesting. We will continue proving new theorems, increasing the complexity of the problems, structuring them, and working to ensure that the algorithms we find are effective in practice," said Alexander Tyurin, head of the Optimization Methods in Machine Learning research group at AIRI.

In total, the scientists worked through around one hundred theorems. For half of them, the guarantees known from previous work were improved, and 35 results are planned for publication. On average, an agent needs 3 to 7 hours to prove a single theorem.

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