A New AI Math Startup Just Cracked 4 Previously Unsolved Problems (www.wired.com)

Axiom, an AI startup co-founded by mathematicians including Ken Ono, has achieved a significant breakthrough by solving four previously unsolved mathematical problems using its specialized tool, AxiomProver. This includes a proof for a conjecture presented by mathematicians Dawei Chen and Quentin Gendron and a complete resolution of Fel’s Conjecture, which has roots in the work of legendary mathematician Srinivasa Ramanujan. AxiomProver employs a unique combination of large language models and its proprietary mathematical reasoning system, allowing it not just to search existing literature but to generate original proofs and verify them using the Lean mathematical language. The implications of Axiom’s advancements are profound for the AI and mathematics communities. Axiom’s approach not only demonstrates the potential of AI to assist mathematicians in exploring complex problems but also indicates the emergence of a new paradigm in theorem proving. AxiomProver’s ability to make elegant mathematical discoveries may lead to commercial applications, such as developing more secure software through rigorous verification processes. This progression reinforces the view that AI can serve as an intelligent partner in mathematical research, much like calculators did for basic computations, opening up new avenues for discovery and understanding in the field.