arXiv:2512.03360cs.CL2025-12AAAI被引 3

让大模型反向推导逻辑结论,提升推理准确率与效率。

From Hypothesis to Premises: LLM-based Backward Logical Reasoning with Selective Symbolic Translation

  • 从结论倒推前提,仅将高置信度内容转为逻辑符号。
  • 在五个基准上超越主流方法,准确率与效率双提升。
  • 适合需要可靠逻辑推理的科研、数学证明场景。

逻辑推理是自然语言理解的核心挑战,也是人工智能实现科学发现、数学定理证明和复杂决策的基础能力。尽管大型语言模型进展显著,当前多数方法仍依赖正向推理范式,从前提逐步推导出结论。但此类方法常出现冗余推理路径、幻觉步骤和语义漂移,导致效率低下且不可靠。本文提出一种新框架——假设驱动的逆向逻辑推理(HBLR)。核心思想是结合置信度感知的符号化转换与假设驱动的逆向推理。在转换阶段,仅将高置信度文本片段转化为一阶逻辑(FOL)等逻辑形式,不确定内容保留在自然语言中;通过翻译反馈模块评估符号输出,对损失语义的转换回退至原文。在推理阶段,HBLR 模拟人类演绎思维,假设结论成立并递归验证其前提。推理反馈模块进一步识别并修正错误推理步骤,增强逻辑一致性。在五个推理基准上的大量实验表明,HBLR 在准确率与效率上均持续优于强基线。

原文摘要 · Abstract (English)

Logical reasoning is a core challenge in natural language understanding and a fundamental capability of artificial intelligence, underpinning scientific discovery, mathematical theorem proving, and complex decision-making. Despite the remarkable progress of large language models (LLMs), most current approaches still rely on forward reasoning paradigms, generating step-by-step rationales from premises to conclusions. However, such methods often suffer from redundant inference paths, hallucinated steps, and semantic drift, resulting in inefficient and unreliable reasoning. In this paper, we propose a novel framework, Hypothesis-driven Backward Logical Reasoning (HBLR). The core idea is to integrate confidence-aware symbolic translation with hypothesis-driven backward reasoning. In the translation phase, only high-confidence spans are converted into logical form, such as First-Order Logic (FOL), while uncertain content remains in natural language. A translation reflection module further ensures semantic fidelity by evaluating symbolic outputs and reverting lossy ones back to text when necessary. In the reasoning phase, HBLR simulates human deductive thinking by assuming the conclusion is true and recursively verifying its premises. A reasoning reflection module further identifies and corrects flawed inference steps, enhancing logical coherence. Extensive experiments on five reasoning benchmarks demonstrate that HBLR consistently outperforms strong baselines in both accuracy and efficiency.

逻辑推理大模型逆向推理符号化

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