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LogicSkills: 一个用于大语言模型形式推理的结构化基准

LogicSkills: A Structured Benchmark for Formal Reasoning in Large Language Models

Niche, Inc.(Niche公司);Oregon State University – Cascades(俄勒冈州立大学-卡斯卡德分校);MaiNLP;Munich Center for Machine Learning (MCML)(慕尼黑机器学习中心(MCML))

Brian Rabern, Philipp Mondorf, Barbara Plank

AI总结:

本文提出LogicSkills基准,评估大语言模型在形式符号化、反例构造和有效性评估三项核心逻辑技能中的表现,揭示高任务准确率可能掩盖核心技能弱点。

摘要:

大型语言模型在许多逻辑推理基准上表现良好,但尚不清楚它们真正掌握哪些核心逻辑技能。为此,我们引入LogicSkills基准,该基准隔离了三项基本逻辑技能:(i)形式符号化——将前提转化为一阶逻辑;(ii)反例构造——通过构造有限反例证明论证无效;(iii)有效性评估——确定结论是否由一组前提推导得出。题目来自不含身份的一阶逻辑两变量片段,并以英语和Carollian nonce-word语言呈现。所有实例均通过Z3验证正确性和非平凡性。在传统指令微调的LLM上,表现在有效性评估上较高,但在形式符号化和反例构造上显著较低,表明高任务级准确性可能掩盖核心逻辑技能的弱点。相比之下,近期推理微调模型在所有三项任务中表现强劲,表明更系统的逻辑技能特征。

英文摘要:

Large language models perform well on many logical reasoning benchmarks, but it remains unclear which core logical skills they truly master. To address this, we introduce LogicSkills, a benchmark that isolates three fundamental logical skills: (i) $\textit{formal symbolization}\unicode{x2014}{}$translating premises into first-order logic; (ii) $\textit{countermodel construction}\unicode{x2014}$showing that an argument is logically invalid by constructing a finite countermodel; and (iii) $\textit{validity assessment}\unicode{x2014}$determining whether a conclusion follows from a set of premises. Items are drawn from the two-variable fragment of first-order logic without identity and are presented in both English and a Carrollian nonce-word language. All instances are solver-verified with Z3 for correctness and non-triviality. Across conventional instruction-tuned LLMs, performance is high on $\textit{validity assessment}$ but substantially lower on $\textit{formal symbolization}$ and $\textit{countermodel construction}$, highlighting that high task-level accuracy can mask weaknesses in core logical skills. In contrast, recent reasoning-tuned models perform strongly across all three tasks, suggesting a more systematic logical skill profile.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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