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Google DeepMind and Cambridge have published a paper demonstrating that a Gemini-based AI agent can autonomously discover new mathematics. The agent found and provided exact rules for 11 Busy Beaver Turing machines that had no prior analysis records. According to the paper, the agent first tested edge cases in a simulator, drafted informal proofs, and then completed the proofs in the Lean proof checker; all the relevant rules were verified through Lean. The paper states that this reflects AI moving from answering mathematical questions posed by humans toward open-ended discovery. Currently, this work is presented as a paper, and there have been no reports of further progress.
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Oct 22
Rohan Paul
Google DeepMind and Cambridge paper: AI agent autonomously discovers exact rules for 11 unsolved Turing machines
A new paper from Google DeepMind and Cambridge shows that a Gemini-based agent can autonomously discover new mathematics, finding and providing exact rules for 11 Busy Beaver Turing machines that previously had no analysis on record. The agent tests edge cases in a simulator, drafts informal proofs, and then completes the proofs in the Lean proof checker; all the relevant rules passed Lean verification. The paper states that this reflects AI moving from answering mathematical questions posed by humans toward open-ended discovery.