---
id: 20260324-T0-15
title: "LLM学会用反例辅助数学推理"
title_en: "LLMs learn to use counterexamples for mathematical reasoning"
url: https://ai.daily.yangsir.net/daily/20260324-T0-15
issue_date: 2026-03-24
publish_date: 2026-03-23T04:00:00.000Z
category: research
source_name: "arXiv cs.AI"
source_url: https://arxiv.org/abs/2603.19514
---

# LLM学会用反例辅助数学推理

MIT研究团队提出新方法，训练大模型生成数学反例。当前AI数学研究几乎专注于证明，而忽略了发现反例的能力。该方法通过让模型分析错误命题并构造反例，在定理验证任务上提升40%准确率。这项工作帮助AI更全面地掌握数学推理的两方面技能。

## English Version

**LLMs learn to use counterexamples for mathematical reasoning**

MIT researchers developed a method to train LLMs to generate mathematical counterexamples. Current AI math research focuses almost exclusively on proof generation, neglecting the ability to find counterexamples. This approach, which has the model analyze false statements and construct counterexamples, improves accuracy by 40% in theorem verification tasks. The work helps AI master both critical skills of mathematical reasoning.

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**来源**：[arXiv cs.AI](https://arxiv.org/abs/2603.19514)

**详情页**：https://ai.daily.yangsir.net/daily/20260324-T0-15

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