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Geometry Reasoning Framework for Language Models

From Symbolic Perception to Logical Deduction: A Framework for Guiding Language Models in Geometric Reasoning

arXiv cs.AI@Weichen Dai et al. (7)
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Why we picked it

This framework offers a computationally efficient alternative to multimodal models for geometry reasoning, providing clearer solutions that could benefit educational applications.

Researchers developed a framework enabling pure Large Language Models to solve complex geometry problems.

Body

The approach integrates a Geometric Vision Parser and Symbolic Solver to translate diagrams into symbolic form and perform formal deductions.

The framework was tested on a benchmark of challenging problems from the 2025 Chinese Zhongkao examinations, achieving performance comparable to Gemini 2.

5 Pro.

Original · arXiv cs.AI

From Symbolic Perception to Logical Deduction: A Framework for Guiding Language Models in Geometric Reasoning

Plane geometry remains a significant challenge in AI, requiring the integration of visual perception and mathematical reasoning. While Large Multimodal Models (LMMs) naturally handle visuo-linguistic inputs, they are often computationally intensive and opaque. We demonstrate that a pure Large Language Model (LLM), when equipped with specialized modules, can rival state-of-the-art LMMs on complex geometry problems. Our framework integrates a Geometric Vision Parser, which translates diagrams into symbolic form, with a Symbolic Solver that performs formal deductions, thereby mitigating hallucinations and promoting interpretable reasoning. To enable rigorous evaluation, we curate a benchmark of challenging problems from the 2025 Chinese Zhongkao examinations, ensuring data novelty and testing deeper deductive skills. Experiments demonstrate that our approach achieves performance comparable to Gemini 2.5 Pro while delivering clearer, human-like solutions.

Industry Coordinates & Source Verification

This report is categorized under AITOP's "Papers" desk, focusing on China's AI industry and domestic foundation model ecosystem. Within our cross-regional analytical framework, it directly maps to AI developer toolchains, coding agents, and engineering workflows. Key entities and technical topics under continuous tracking include geometry reasoning, language models, Gemini 2.5 Pro, Zhongkao.

Source attribution: curated from arXiv cs.AI (@Weichen Dai, Rafael Medeiros Cabral, Ziyi Shou, Yan Cao, Xin Shen, Dongcai Lu, Yi Zhou).

#geometry reasoning#language models#Gemini 2.5 Pro#Zhongkao#symbolic deduction

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