arXiv:2601.17426cs.AIcs.LO2026-01

用三段论测试大模型逻辑演进,发现规模和思考机制促其向现代逻辑转变

A Syllogistic Probe: Tracing the Evolution of Logic Reasoning in Large Language Models

  • 以存在蕴涵为探针,对比传统与现代逻辑下的三段论推理
  • 模型规模越大,越倾向现代逻辑;思维链可加速这一转变
  • 基础模型架构决定逻辑演进的难易与稳定性,适合研究模型认知机制

人类逻辑从直觉推理逐步转向严谨的形式系统。受大语言模型(LLMs)近期进展启发,我们探究了LLMs是否也展现出类似的内在逻辑框架演化。通过存在蕴涵作为探针,评估在传统逻辑与现代逻辑下的三段论推理表现。在新构建的三段论数据集上对当前主流大模型进行广泛实验,发现:(i) 模型规模扩大促进向现代逻辑的转变;(ii) 思维链(thinking)能有效加速这一过程,超越参数量扩展的效应;(iii) 基础模型架构在决定该转变是否容易、稳定出现方面起关键作用。此外,还开展了额外实验,深入分析当前大模型在三段论推理中的各项特性。

原文摘要 · Abstract (English)

Human logic has gradually shifted from intuition-driven inference to rigorous formal systems. Motivated by recent advances in large language models (LLMs), we explore whether LLMs exhibit a similar evolution in the underlying logical framework. Using existential import as a probe, we for evaluate syllogism under traditional and modern logic. Through extensive experiments of testing SOTA LLMs on a new syllogism dataset, we have some interesting findings: (i) Model size scaling promotes the shift toward modern logic; (ii) Thinking serves as an efficient accelerator beyond parameter scaling; (iii) the Base model plays a crucial role in determining how easily and stably this shift can emerge. Beyond these core factors, we conduct additional experiments for in-depth analysis of properties of current LLMs on syllogistic reasoning.

逻辑推理大模型认知演化

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