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Paper · arXiv

VeriGeo: Controllable Geometry Question Generation with Numerical and Analytical Verification

Geometry problem generation is useful for AI-assisted education and multimodal mathematical reasoning, but reliable synthesis remains difficult because the problem statement, diagram, constraints, and solution should be mutually consistent. Existing methods often trade off controllability and reliability: seed-based rewriting is flexible but weakly verifiable, whereas diagram-first construction improves validity but is less suited to arbitrary user-specified constraints. We introduce VeriGeo, a controllable geometry generation framework grounded in executable reasoning traces. Given user constraints such as target concepts and difficulty, an Author agent generates a problem and diagram, a...

AuthorsXiaoxian Duan, Zequn Liu, Yingce Xia
Primary categorycs.AI
Published12 June 2026
Last updated at source12 June 2026
cs.AI
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