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

📅 2026-08-27
📈 Citations: 0
Influential: 0
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🤖 AI Summary
为解决大语言模型在多步逻辑推理中的幻觉和不一致问题,提出结合逻辑知识图谱和动态求解器路由的神经-符号架构,提高推理准确性和可验证性。
📝 Abstract
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.
Problem

Research questions and friction points this paper is trying to address.

Large Language Models
Logical Reasoning
Hallucinations
Inconsistency
Chain-of-Thought
Innovation

Methods, ideas, or system contributions that make the work stand out.

Neuro-Symbolic Architecture
Logical Knowledge Graph (LKG)
Dynamic Solver Routing
Topology-Aware Hybrid Retrieval
Verifiable Reasoning