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Learning low-dimensional embeddings of knowledge graphs is a powerful approach used to predict unobserved or missing edges between entities. However, an open challenge in this area is developing techniques that can go beyond simple edge…

Social and Information Networks · Computer Science 2019-10-30 William L. Hamilton , Payal Bajaj , Marinka Zitnik , Dan Jurafsky , Jure Leskovec

Complex Query Answering (CQA) is a crucial reasoning task over Knowledge Graphs (KGs), which aims to answer first-order logical queries from incomplete KGs. While existing neural-symbolic methods achieve strong performance, they face…

Artificial Intelligence · Computer Science 2026-05-26 Weizhi Fei , Zihao Wang , hang Yin , Shukai Zhao , Wei Zhang , Yangqiu Song

We study the complexity of enumerating the answers of Conjunctive Queries (CQs) in the presence of Functional Dependencies (FDs). Our focus is on the ability to list output tuples with a constant delay in between, following a linear-time…

Databases · Computer Science 2021-09-28 Nofar Carmeli , Markus Kröll

Complex Query Answering (CQA) is an important and fundamental task for knowledge graph (KG) reasoning. Query encoding (QE) is proposed as a fast and robust solution to CQA. In the encoding process, most existing QE methods first parse the…

Computation and Language · Computer Science 2023-06-27 Jiaxin Bai , Tianshi Zheng , Yangqiu Song

In many scenarios, complete and incomplete information coexist. For this reason, the knowledge representation and database communities have long shown interest in simultaneously supporting the closed- and the open-world views when reasoning…

Artificial Intelligence · Computer Science 2019-12-17 Shqiponja Ahmetaj , Magdalena Ortiz , Mantas Simkus

During the last decades, a lot of effort was put into identifying decidable fragments of first-order logic. Such efforts gave birth, among the others, to the two-variable fragment and the guarded fragment, depending on the type of…

Logic in Computer Science · Computer Science 2021-10-05 Bartosz Bednarczyk , Maja Orłowska , Anna Pacanowska , Tony Tan

Designing query languages for graph structured data is an active field of research. Evaluating a query on a graph results in a relation on the set of its nodes. In other words, a query is a mechanism for defining relations on a graph. Some…

Databases · Computer Science 2015-04-28 M. Praveen , B. Srivathsan

Node embedding algorithms produce low-dimensional latent representations of nodes in a graph. These embeddings are often used for downstream tasks, such as node classification and link prediction. In this paper, we investigate the following…

Machine Learning · Computer Science 2024-06-13 Zohair Shafi , Ayan Chatterjee , Tina Eliassi-Rad

While graphs and abstract data structures can be large and complex, practical instances are often regular or highly structured. If the instance has sufficient structure, we might hope to compress the object into a more succinct…

Computational Complexity · Computer Science 2024-12-02 Shreya Gupta , Boyang Huang , Russell Impagliazzo , Stanley Woo , Christopher Ye

Counting the number of answers to conjunctive queries is a fundamental problem in databases that, under standard assumptions, does not have an efficient solution. The issue is inherently #P-hard, extending even to classes of acyclic…

Databases · Computer Science 2024-09-12 Hubie Chen , Gianluigi Greco , Stefan Mengel , Francesco Scarcello

The study of machine learning-based logical query answering enables reasoning with large-scale and incomplete knowledge graphs. This paper advances this area of research by addressing the uncertainty inherent in knowledge. While the…

Artificial Intelligence · Computer Science 2025-05-21 Weizhi Fei , Zihao Wang , Hang Yin , Yang Duan , Yangqiu Song

Question Answering (QA) systems are becoming the inspiring model for the future of search engines. While recently, underlying datasets for QA systems have been promoted from unstructured datasets to structured datasets with highly…

Information Retrieval · Computer Science 2016-02-17 Saeedeh Shekarpour , Denis Lukovnikov , Ashwini Jaya Kumar , Kemele Endris , Kuldeep Singh , Harsh Thakkar , Christoph Lange

We investigate the problem whether two ALC knowledge bases are indistinguishable by queries over a given vocabulary. We give model-theoretic criteria in terms of (partial) homomorphisms and products and prove that this problem is…

Logic in Computer Science · Computer Science 2016-08-08 Elena Botoeva , Carsten Lutz , Vladislav Ryzhikov , Frank Wolter , Michael Zakharyaschev

Range minimum queries (RMQs) are fundamental operations with widespread applications in database management, text indexing and computational biology. While many space-efficient data structures have been designed for RMQs on arrays with…

Data Structures and Algorithms · Computer Science 2026-04-16 Seungbum Jo , Srinivasa Rao Satti

Our concern is the overhead of answering OWL 2 QL ontology-mediated queries (OMQs) in ontology-based data access compared to evaluating their underlying tree-shaped and bounded treewidth conjunctive queries (CQs). We show that OMQs with…

Our concern is the data complexity of answering linear monadic datalog queries whose atoms in the rule bodies can be prefixed by operators of linear temporal logic LTL. We first observe that, for data complexity, answering any connected…

Artificial Intelligence · Computer Science 2025-01-24 Alessandro Artale , Anton Gnatenko , Vladislav Ryzhikov , Michael Zakharyaschev

The data-complexity of both satisfiability and finite satisfiability for the two-variable fragment with counting is NP-complete; the data-complexity of both query-answering and finite query-answering for the two-variable guarded fragment…

Logic in Computer Science · Computer Science 2024-04-19 Ian Pratt-Hartmann

Open-domain complex Question Answering (QA) is a difficult task with challenges in evidence retrieval and reasoning. The complexity of such questions could stem from questions being compositional, hybrid evidence, or ambiguity in questions.…

Computation and Language · Computer Science 2024-06-26 Venktesh V. Deepali Prabhu , Avishek Anand

Hybrid logic with binders is an expressive specification language. Its satisfiability problem is undecidable in general. If frames are restricted to N or general linear orders, then satisfiability is known to be decidable, but of…

Computational Complexity · Computer Science 2012-06-13 Stefan Göller , Arne Meier , Martin Mundhenk , Thomas Schneider , Michael Thomas , Felix Weiss

HyperLTL, the extension of Linear Temporal Logic by trace quantifiers, is a uniform framework for expressing information flow policies by relating multiple traces of a security-critical system. HyperLTL has been successfully applied to…

Logic in Computer Science · Computer Science 2019-12-17 Corto Mascle , Martin Zimmermann