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AI models tackle unsolved math problems with formal proofs and new discoveries

Two new research papers explore the capabilities of large language models in advanced mathematical reasoning and discovery. The first paper introduces Magenta, a system that bridges informal natural language math problems with formal, machine-checkable proofs in Lean 4, achieving perfect accuracy on olympiad benchmarks and solving six IMO 2026 problems when paired with K2-Horizon-7B. The second paper presents HorizonMath, a benchmark of unsolved mathematical problems designed to test AI's ability to make novel discoveries, where models like GPT-5.4 Pro and GPT-5.6 Sol have already identified six new solutions. AI

IMPACT Advances in AI reasoning capabilities could accelerate scientific discovery and formal verification processes.

RANK_REASON Two academic papers published on arXiv detailing new methods and benchmarks for AI in mathematical reasoning.

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

AI models tackle unsolved math problems with formal proofs and new discoveries

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Two academic papers published on arXiv detailing new methods and benchmarks for AI in mathematical reasoning.
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COVERAGE [2]

  1. arXiv cs.AI TIER_1 English(EN) · Joshua Ong Jun Leang, Haonan Li, Zheng Zhao, Xinyi Shang, Wenda Li, Zhengzhong Liu, Erix Xing, Shay Cohen, Eleonora Giunchiglia ·

    Magenta: Closing the Loop Between Mathematical Reasoning and Lean Verification

    arXiv:2609.11319v1 Announce Type: new Abstract: Most of mathematical knowledge has been communicated through so-called informal use of mathematics and natural language. With large language models (LLMs) being highly adept in using natural language, they achieve strong performance…

  2. arXiv cs.LG TIER_1 English(EN) · Erik Y. Wang, Sumeet R. Motwani, James V. Roggeveen, Eliot Hodges, Dulhan Jayalath, Charles London, Kalyan Ramakrishnan, Jakob Foerster, Cheng Zhang, Flaviu Cipcigan, Philip Torr, Alessandro Abate ·

    Measuring Progress in Reasoning Toward Mathematical Discovery with Automatic Verification

    arXiv:2603.15617v2 Announce Type: replace Abstract: Can AI make progress on important, unsolved mathematical problems? Large language models are now capable of sophisticated mathematical and scientific reasoning, but whether they can perform novel research is still widely debated…