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We study the problem of learning probabilistic first-order logical rules for knowledge base reasoning. This learning problem is difficult because it requires learning the parameters in a continuous space as well as the structure in a…

Artificial Intelligence · Computer Science 2017-11-28 Fan Yang , Zhilin Yang , William W. Cohen

This paper describes a technique for inferring temporal-logic properties for sets of finite data streams. Such data streams arise in many domains, including server logs, program testing, and financial and marketing data; temporal-logic…

Logic in Computer Science · Computer Science 2020-06-09 Samuel Huang , Rance Cleaveland

Knowledge graphs offer a structured representation of real-world entities and their relationships, enabling a wide range of applications from information retrieval to automated reasoning. In this paper, we conduct a systematic comparison…

Machine Learning · Computer Science 2025-07-31 Thanh Hoang-Minh

Recent research in retrieval-augmented generation (RAG) has concentrated on retrieving useful information from candidate documents. However, numerous methodologies frequently neglect the calibration capabilities of large language models…

Computation and Language · Computer Science 2025-06-23 Guanhua Chen , Yutong Yao , Lidia S. Chao , Xuebo Liu , Derek F. Wong

Knowledge Graph-based Retrieval-Augmented Generation (KG-RAG) is an increasingly explored approach for combining the reasoning capabilities of large language models with the structured evidence of knowledge graphs. However, current…

Artificial Intelligence · Computer Science 2026-01-13 Dongzhuoran Zhou , Yuqicheng Zhu , Xiaxia Wang , Hongkuan Zhou , Yuan He , Jiaoyan Chen , Steffen Staab , Evgeny Kharlamov

Knowledge graphs (KGs) can be enhanced through rule mining; however, the resulting logical rules are often difficult for humans to interpret due to their inherent complexity and the idiosyncratic labeling conventions of individual KGs. This…

Computation and Language · Computer Science 2025-08-18 Nasim Shirvani-Mahdavi , Chengkai Li

Recent advances in the integration of deep learning with automated theorem proving have centered around the representation of logical formulae as inputs to deep learning systems. In particular, there has been a growing interest in adapting…

Artificial Intelligence · Computer Science 2020-06-08 Maxwell Crouse , Ibrahim Abdelaziz , Cristina Cornelio , Veronika Thost , Lingfei Wu , Kenneth Forbus , Achille Fokoue

Grammar inference deals with determining (preferable simple) models/grammars consistent with a set of observations. There is a large body of research on grammar inference within the theory of formal languages. However, there is surprisingly…

Machine Learning · Computer Science 2009-02-02 Hendrik Blockeel , Robert Brijder

Knowledge graph reasoning is the fundamental component to support machine learning applications such as information extraction, information retrieval, and recommendation. Since knowledge graphs can be viewed as the discrete symbolic…

Artificial Intelligence · Computer Science 2021-04-01 Jing Zhang , Bo Chen , Lingxi Zhang , Xirui Ke , Haipeng Ding

Formal learning theory formalizes the process of inferring a general result from examples, as in the case of inferring grammars from sentences when learning a language. Although empirical evidence suggests that children can learn a language…

Logic in Computer Science · Computer Science 2019-09-19 Alexandru Baltag , Dazhu Li , Mina Young Pedersen

Self-play reinforcement learning has shown strong performance in domains with formally verifiable structure, such as mathematics and coding, where both problem generation and reward computation can be grounded in explicit rules. Extending…

Artificial Intelligence · Computer Science 2026-05-08 Hyobin Park , Taeseop Kim , Dong-Geol Choi

Knowledge graph completion (KGC) aims to infer new knowledge and make predictions from knowledge graphs. Recently, large language models (LLMs) have exhibited remarkable reasoning capabilities. LLM-enhanced KGC methods primarily focus on…

Computation and Language · Computer Science 2025-09-03 Yu Liu , Yanan Cao , Xixun Lin , Yanmin Shang , Shi Wang , Shirui Pan

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

The core of the Knowledge Graph Completion (KGC) task is to predict and complete the missing relations or nodes in a KG. Common KGC tasks are mostly about inferring unknown elements with one or two elements being known in a triple. In…

Computation and Language · Computer Science 2024-12-25 Yuan Yuan , Yajing Xu , Wen Zhang

Graph Neural Networks share with Logic Programming several key relational inference mechanisms. The datasets on which they are trained and evaluated can be seen as database facts containing ground terms. This makes possible modeling their…

Logic in Computer Science · Computer Science 2022-08-08 Paul Tarau

Collective Adaptive Systems often consist of many heterogeneous components typically organised in groups. These entities interact with each other by adapting their behaviour to pursue individual or collective goals. In these systems, the…

Logic in Computer Science · Computer Science 2024-02-14 Michele Loreti , Michela Quadrini

Rule-induction models have demonstrated great power in the inductive setting of knowledge graph completion. In this setting, the models are tested on a knowledge graph entirely composed of unseen entities. These models learn relation…

Machine Learning · Computer Science 2024-06-21 Yuki Iwamoto , Ken Kaneiwa

Knowledge graph completion aims to address the gaps of knowledge bases by adding new triples that represent facts. The complexity of this task depends on how many parts of a triple are already known. Instance completion involves predicting…

Artificial Intelligence · Computer Science 2025-06-02 Amel Gader , Alsayed Algergawy

Logical reasoning over incomplete knowledge graphs to answer complex logical queries is a challenging task. With the emergence of new entities and relations in constantly evolving KGs, inductive logical reasoning over KGs has become a…

Computation and Language · Computer Science 2023-05-24 Siyuan Wang , Zhongyu Wei , Meng Han , Zhihao Fan , Haijun Shan , Qi Zhang , Xuanjing Huang

Knowledge graphs (KGs) store highly heterogeneous information about the world in the structure of a graph, and are useful for tasks such as question answering and reasoning. However, they often contain errors and are missing information.…

Artificial Intelligence · Computer Science 2020-03-24 Caleb Belth , Xinyi Zheng , Jilles Vreeken , Danai Koutra