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    "summary": "Combined language-model suggestions for auxiliary constructions with symbolic deduction, reporting solutions to 25 of the 30 geometry problems in its IMO-AG-30 evaluation.",
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        "title": "Trinh et al., Solving Olympiad Geometry without Human Demonstrations, Nature 625, 476–482 (2024)",
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        "description": "This is a geometry benchmark result for the original 2024 system, not a full IMO medal, an arbitrary mathematics solver or a new open-problem discovery. Synthetic proof demonstrations do not remove the human contribution to the system and rules. The published acknowledgement correction is retained; WRS has not rerun the benchmark.",
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      "statement": "# AlphaGeometry: neuro-symbolic olympiad geometry\n\nCombined language-model suggestions for auxiliary constructions with symbolic deduction, reporting solutions to 25 of the 30 geometry problems in its IMO-AG-30 evaluation.\n\n## Scientific scope\n\nThis is a geometry benchmark result for the original 2024 system, not a full IMO medal, an arbitrary mathematics solver or a new open-problem discovery. Synthetic proof demonstrations do not remove the human contribution to the system and rules. The published acknowledgement correction is retained; WRS has not rerun the benchmark.\n\n## Reading status\n\nThis is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.\n\n## People and systems\n\nTrieu H. Trinh; Yuhuai Wu; Quoc V. Le; He He; Thang Luong\n\nListed source contributors; individual labor shares are not measured\n\nAlphaGeometry / Google DeepMind / AlphaGeometry (2024): Neural auxiliary-construction proposals with symbolic proof search (source reported).\n\n## Original sources\n\n- [Trinh et al., Solving Olympiad Geometry without Human Demonstrations, Nature 625, 476–482 (2024)](https://www.nature.com/articles/s41586-023-06747-5)\n- [Google DeepMind, AlphaGeometry: An Olympiad-Level AI System for Geometry, 17 January 2024](https://deepmind.google/blog/alphageometry-an-olympiad-level-ai-system-for-geometry/)\n- [Trinh et al., Author Correction, Nature 627, E8 (23 February 2024)](https://www.nature.com/articles/s41586-024-07115-7)\n- [Google DeepMind, AlphaGeometry repository README](https://github.com/google-deepmind/alphageometry)\n",
      "summary": "Combined language-model suggestions for auxiliary constructions with symbolic deduction, reporting solutions to 25 of the 30 geometry problems in its IMO-AG-30 evaluation.",
      "title": "AlphaGeometry: neuro-symbolic olympiad geometry"
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