Case-Based Deduction for Entailment Tree Generation

IF 2.3 3区 数学 Q1 MATHEMATICS
Mathematics Pub Date : 2024-09-17 DOI:10.3390/math12182893
Jihao Shi, Xiao Ding, Ting Liu
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引用次数: 0

Abstract

Maintaining logical consistency in structured explanations is critical for understanding and troubleshooting the reasoning behind a system’s decisions. However, existing methods for entailment tree generation often struggle with logical consistency, resulting in erroneous intermediate conclusions and reducing the overall accuracy of the explanations. To address this issue, we propose case-based deduction (CBD), a novel approach that retrieves cases with similar logical structures from a case base and uses them as demonstrations for logical deduction. This method guides the model toward logically sound conclusions without the need for manually constructing logical rule bases. By leveraging a prototypical network for case retrieval and reranking them using information entropy, CBD introduces diversity to improve in-context learning. Our experimental results on the EntailmentBank dataset show that CBD significantly improves entailment tree generation, achieving performance improvements of 1.7% in Task 1, 0.6% in Task 2, and 0.8% in Task 3 under the strictest Overall AllCorrect metric. These findings confirm that CBD enhances the logical consistency and overall accuracy of AI systems in structured explanation tasks.
基于案例演绎的纠缠树生成
保持结构化解释的逻辑一致性对于理解系统决策背后的推理并排除故障至关重要。然而,现有的蕴涵树生成方法往往在逻辑一致性方面存在问题,导致中间结论错误,降低了解释的整体准确性。为了解决这个问题,我们提出了基于案例的演绎法(CBD),这是一种从案例库中检索具有相似逻辑结构的案例并将其作为逻辑演绎示范的新方法。这种方法可引导模型得出逻辑上合理的结论,而无需手动构建逻辑规则库。CBD 利用原型网络进行案例检索,并使用信息熵对它们进行重新排序,从而引入了多样性以改进上下文学习。我们在 EntailmentBank 数据集上的实验结果表明,CBD 显著改善了 "entailment tree "的生成,在最严格的 "Overall AllCorrect "指标下,任务 1 的性能提高了 1.7%,任务 2 的性能提高了 0.6%,任务 3 的性能提高了 0.8%。这些研究结果证实,CBD 提高了人工智能系统在结构化解释任务中的逻辑一致性和整体准确性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Mathematics
Mathematics Mathematics-General Mathematics
CiteScore
4.00
自引率
16.70%
发文量
4032
审稿时长
21.9 days
期刊介绍: Mathematics (ISSN 2227-7390) is an international, open access journal which provides an advanced forum for studies related to mathematical sciences. It devotes exclusively to the publication of high-quality reviews, regular research papers and short communications in all areas of pure and applied mathematics. Mathematics also publishes timely and thorough survey articles on current trends, new theoretical techniques, novel ideas and new mathematical tools in different branches of mathematics.
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