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Magenta: Closing the Loop Between Mathematical Reasoning and Lean Verification

Research LLM Agents

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Merged summary

TL;DR - Magenta is a training-free agentic pipeline that converts natural-language math solutions into Lean 4 statements and machine-checked proofs. It closes the informal–formal reasoning loop with judges that detect faulty formalizations and route errors for targeted correction.

  • Generates an answer, formalizes it in Lean 4, and constructs a verified proof from only a natural-language problem.
  • Uses a statement judge to check semantic fidelity and an error-attribution judge to choose between mathematical re-derivation and local Lean repair.
  • Reports 100% accuracy on evaluated olympiad benchmarks, including AIME 2025/2026 and HMMT February 2026.
  • Paired with the open-weight K2-Horizon-7B reasoner, it reportedly solves all six IMO 2026 problems.

Sources (1)

Magenta: Closing the Loop Between Mathematical Reasoning and Lean Verification

arXiv cs.AI Joshua Ong Jun Leang, Haonan Li, Zheng Zhao, Xinyi Shang, Wenda Li, Zhengzhong Liu, Erix Xing, Shay Cohen, Eleonora Giunchiglia 2026-09-10 arXiv:2609.11319
Public signals Semantic Scholar citations 0 · Semantic Scholar influential citations 0
Providers: Hugging Face · N/A OpenAlex · N/A Publisher · N/A Semantic Scholar · Citations 0 · Influential citations 0 X · N/A Fetched 2026-09-18 14:16:31.746071 UTC

TL;DR - Magenta is a training-free agentic pipeline that converts natural-language math solutions into Lean 4 statements and machine-checked proofs. It closes the informal–formal reasoning loop with judges that detect faulty formalizations and route errors for targeted correction.

  • Generates an answer, formalizes it in Lean 4, and constructs a verified proof from only a natural-language problem.
  • Uses a statement judge to check semantic fidelity and an error-attribution judge to choose between mathematical re-derivation and local Lean repair.
  • Reports 100% accuracy on evaluated olympiad benchmarks, including AIME 2025/2026 and HMMT February 2026.
  • Paired with the open-weight K2-Horizon-7B reasoner, it reportedly solves all six IMO 2026 problems.
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