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Multi-hop logical reasoning on knowledge graphs is a pivotal task in natural language processing, with numerous approaches aiming to answer First-Order Logic (FOL) queries. Recent geometry (e.g., box, cone) and probability (e.g., beta…

Artificial Intelligence · Computer Science 2024-06-12 Jeonghoon Kim , Heesoo Jung , Hyeju Jang , Hogun Park

This paper proposes an iterative inference algorithm for multi-hop explanation regeneration, that retrieves relevant factual evidence in the form of text snippets, given a natural language question and its answer. Combining multiple sources…

Information Retrieval · Computer Science 2020-12-22 Ruben Cartuyvels , Graham Spinks , Marie-Francine Moens

Recent work has proposed multi-hop models and datasets for studying complex natural language reasoning. One notable task requiring multi-hop reasoning is fact checking, where a set of connected evidence pieces leads to the final verdict of…

Computation and Language · Computer Science 2021-06-02 Wojciech Ostrowski , Arnav Arora , Pepa Atanasova , Isabelle Augenstein

Automatic multi-hop fact verification task has gained significant attention in recent years. Despite impressive results, these well-designed models perform poorly on out-of-domain data. One possible solution is to augment the training data…

Computation and Language · Computer Science 2023-10-24 Yingjie Zhu , Jiasheng Si , Yibo Zhao , Haiyang Zhu , Deyu Zhou , Yulan He

Deep learning has become the dominant approach for creating high capacity, scalable models across diverse data modalities. However, because these models rely on a large number of learned parameters, tightly couple feature extraction with…

Artificial Intelligence · Computer Science 2026-05-12 Adam Gould , Francesca Toni

Training on verifiable symbolic data is a promising way to expand the reasoning frontier of language models beyond what standard pre-training corpora provide. Yet existing procedural generators often rely on fixed puzzles or templates and…

Computation and Language · Computer Science 2026-03-03 Valentin Lacombe , Valentin Quesnel , Damien Sileo

Languages models have been successfully applied to a variety of reasoning tasks in NLP, yet the language models still suffer from compositional generalization. In this paper we present Explainable Verbal Reasoner Plus (EVR+), a reasoning…

Computation and Language · Computer Science 2023-05-02 Zhengzhong Liang , Zeyu Zhang , Steven Bethard , Mihai Surdeanu

With the advent of Large Language Models (LLMs), generating rule-based data for real-world applications has become more accessible. Due to the inherent ambiguity of natural language and the complexity of rule sets, especially in long…

Computation and Language · Computer Science 2025-04-21 Teng Wang , Zhenqi He , Wing-Yin Yu , Xiaojin Fu , Xiongwei Han

Recent work on recommender systems has considered external knowledge graphs as valuable sources of information, not only to produce better recommendations but also to provide explanations of why the recommended items were chosen. Pure…

Information Retrieval · Computer Science 2020-07-28 Yikun Xian , Zuohui Fu , Qiaoying Huang , S. Muthukrishnan , Yongfeng Zhang

Procedural material graphs are a compact, parameteric, and resolution-independent representation that are a popular choice for material authoring. However, designing procedural materials requires significant expertise and publicly…

Graphics · Computer Science 2022-08-16 Paul Guerrero , Miloš Hašan , Kalyan Sunkavalli , Radomír Měch , Tamy Boubekeur , Niloy J. Mitra

Mechanical reasoning is a key area of research that lies at the crossroads of mathematical logic and artificial intelligence. The main aim to develop mechanical reasoning systems (also known as theorem provers) was to enable mathematicians…

Software Engineering · Computer Science 2019-12-09 M. Saqib Nawaz , Moin Malik , Yi Li , Meng Sun , M. Ikram Ullah Lali

Structural proof theory is praised for being a symbolic approach to reasoning and proofs, in which one can define schemas for reasoning steps and manipulate proofs as a mathematical structure. For this to be possible, proof systems must be…

Logic in Computer Science · Computer Science 2021-08-10 Giselle Reis

Evaluations of large language models (LLMs) primarily emphasize convergent logical reasoning, where success is defined by producing a single correct proof. However, many real-world reasoning problems admit multiple valid derivations,…

Artificial Intelligence · Computer Science 2026-02-25 Yanrui Wu , Lingling Zhang , Xinyu Zhang , Jiayu Chang , Pengyu Li , Xu Jiang , Jingtao Hu , Jun Liu

Graph-based Retrieval-Augmented Generation (GraphRAG) advances flat document retrieval by structuring knowledge as relational graphs, enabling more coherent and effective reasoning. However, applying it to specific domains like legal…

Computation and Language · Computer Science 2026-05-28 Zerui Chen , Qinggang Zhang , Zhishang Xiang , Zhimin Wei , Linfeng Gao , Xiao Huang , Zhihong Zhang , Jinsong Su

Reasoning over natural language is a challenging problem in NLP. In this work, we focus on proof generation: Given a hypothesis and a set of supporting facts, the model generates a proof tree indicating how to derive the hypothesis from…

Computation and Language · Computer Science 2022-10-25 Kaiyu Yang , Jia Deng , Danqi Chen

Large Language Models (LLMs) demonstrate impressive mathematical reasoning abilities, but their solutions frequently contain errors that cannot be automatically checked. Formal theorem proving systems such as Lean 4 offer automated…

Artificial Intelligence · Computer Science 2026-03-18 Sumanth Varambally , Thomas Voice , Yanchao Sun , Zhifeng Chen , Rose Yu , Ke Ye

Multimodal Large Language Models (MLLMs) demonstrate remarkable capabilities but often struggle with complex, multi-step mathematical reasoning, where minor errors in visual perception or logical deduction can lead to complete failure.…

Computation and Language · Computer Science 2025-08-08 Jianghangfan Zhang , Yibo Yan , Kening Zheng , Xin Zou , Song Dai , Xuming Hu

Systems for language understanding have become remarkably strong at overcoming linguistic imperfections in tasks involving phrase matching or simple reasoning. Yet, their accuracy drops dramatically as the number of reasoning steps…

Computation and Language · Computer Science 2020-05-04 Daniel Khashabi , Erfan Sadeqi Azer , Tushar Khot , Ashish Sabharwal , Dan Roth

Explainable multi-hop question answering (QA) not only predicts answers but also identifies rationales, i. e. subsets of input sentences used to derive the answers. This problem has been extensively studied under the supervised setting,…

Computation and Language · Computer Science 2023-05-24 Wenting Zhao , Justin T. Chiu , Claire Cardie , Alexander M. Rush

Fact verification aims to automatically probe the veracity of a claim based on several pieces of evidence. Existing works are always engaging in accuracy improvement, let alone explainability, a critical capability of fact verification…

Artificial Intelligence · Computer Science 2024-06-17 Huanhuan Ma , Weizhi Xu , Yifan Wei , Liuji Chen , Liang Wang , Qiang Liu , Shu Wu , Liang Wang