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SymbolLKG:基于逻辑知识图谱与符号求解器的可验证逻辑推理研究

SymbolLKG: Towards Verifiable Logical Reasoning via Logical Knowledge Graph and Symbolic Solvers

Haizhao Fan, Yuchi Xiong, Jize Wang, Xinping Guan, Xinyi Le

arXiv 2608.26836首次发表:更新:

发表机构

Shanghai JiaoTong University(上海交通大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

该研究针对大型语言模型逻辑推理的缺陷,提出结合逻辑知识图谱与动态求解器路由的神经-符号架构,在基准任务上优于现有方法,实现了可验证的高准确率逻辑推理。

AI 中文摘要

大型语言模型(LLMs)在自然语言理解方面展现出卓越能力,但在严格的多步推理任务中表现不佳,常出现幻觉与不一致问题。现有解决方案如思维链(CoT)缺乏严格的验证机制,而标准检索增强生成(RAG)往往会遗漏逻辑任务固有的复杂结构依赖。为弥合这一差距,本文提出一种神经-符号架构,将逻辑知识图谱(LKG)与动态求解器路由相结合。具体而言,我们引入基于本体的LKG,将逻辑规则与约束视为一级拓扑节点,实现对从文本中提取的依赖关系的显式建模;进一步设计逻辑路由器,通过拓扑感知混合检索机制支持,将任务动态分配至最优符号引擎。在逻辑推理基准上的实验结果表明,我们的框架显著优于当前最优的提示工程与RAG基线,实现了更高的准确率与可验证的推理路径。

英文摘要

Large Language Models (LLMs) have demonstrated remarkable proficiency in natural language understanding, yet they struggle with strict multi-step reasoning, frequently suffering from hallucinations and inconsistency. Existing solutions like Chain-of-Thought (CoT) lack rigorous verification mechanisms, while standard Retrieval-Augmented Generation (RAG) often misses the complex, structural dependencies inherent in logical tasks. To bridge this gap, we propose a Neuro-Symbolic architecture that integrates a Logical Knowledge Graph (LKG) with dynamic solver routing. Specifically, we introduce an ontology-based LKG that treats logical rules and constraints as first-class topological nodes, enabling explicit modeling of dependencies extracted from text. We further design a Logic Router to dynamically dispatch tasks to the optimal symbolic engine, which is supported by a topology-aware hybrid retrieval mechanism. Experimental results on logical reasoning benchmarks demonstrate that our framework significantly outperforms state-of-the-art prompting and RAG baselines, delivering higher accuracy and verifiable reasoning paths.

Comments19 pages, 9 figures

论文原文

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