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We study the complexity of problems solvable in deterministic polynomial time with access to an NP or Quantum Merlin-Arthur (QMA)-oracle, such as $P^{NP}$ and $P^{QMA}$, respectively. The former allows one to classify problems more finely…

Computational Complexity · Computer Science 2022-10-18 Sevag Gharibian , Dorian Rudolph

Complex logical query answering (CLQA) is a recently emerged task of graph machine learning that goes beyond simple one-hop link prediction and solves a far more complex task of multi-hop logical reasoning over massive, potentially…

Databases · Computer Science 2023-03-28 Hongyu Ren , Mikhail Galkin , Michael Cochez , Zhaocheng Zhu , Jure Leskovec

Large, heterogeneous datasets are characterized by missing or even erroneous information. This is more evident when they are the product of community effort or automatic fact extraction methods from external sources, such as text. A special…

Databases · Computer Science 2021-02-24 Ruud van Bakel , Teodor Aleksiev , Daniel Daza , Dimitrios Alivanistos , Michael Cochez

Multi-hop logical reasoning over knowledge graph (KG) plays a fundamental role in many artificial intelligence tasks. Recent complex query embedding (CQE) methods for reasoning focus on static KGs, while temporal knowledge graphs (TKGs)…

Machine Learning · Computer Science 2023-10-17 Xueyuan Lin , Chengjin Xu , Haihong E , Fenglong Su , Gengxian Zhou , Tianyi Hu , Ningyuan Li , Mingzhi Sun , Haoran Luo

Answering complex queries over knowledge graphs (KG) is an important yet challenging task because of the KG incompleteness issue and cascading errors during reasoning. Recent query embedding (QE) approaches to embed the entities and…

Artificial Intelligence · Computer Science 2022-09-20 Zezhong Xu , Wen Zhang , Peng Ye , Hui Chen , Huajun Chen

Conversational question answering (convQA) over knowledge graphs (KGs) involves answering multi-turn natural language questions about information contained in a KG. State-of-the-art methods of ConvQA often struggle with inexplicit…

Computation and Language · Computer Science 2024-04-01 Lihui Liu , Blaine Hill , Boxin Du , Fei Wang , Hanghang Tong

This paper investigates the impact of query topology on the difficulty of answering conjunctive queries in the presence of OWL 2 QL ontologies. Our first contribution is to clarify the worst-case size of positive existential (PE),…

Artificial Intelligence · Computer Science 2015-05-14 Meghyn Bienvenu , Stanislav Kikot , Vladimir Podolskii

Answering complex logical queries on large-scale incomplete knowledge graphs (KGs) is a fundamental yet challenging task. Recently, a promising approach to this problem has been to embed KG entities as well as the query into a vector space…

Machine Learning · Computer Science 2020-03-03 Hongyu Ren , Weihua Hu , Jure Leskovec

Knowledge Bases (KBs) play a key role in various applications. As two representative KB-related tasks, knowledge base completion (KBC) and knowledge base question answering (KBQA) are closely related and inherently complementary with each…

Artificial Intelligence · Computer Science 2026-04-08 Yinan Liu , Dongying Lin , Sigang Luo , Xiaochun Yang , Bin Wang

Complex question-answering (CQA) involves answering complex natural-language questions on a knowledge base (KB). However, the conventional neural program induction (NPI) approach exhibits uneven performance when the questions have different…

Computation and Language · Computer Science 2020-11-02 Yuncheng Hua , Yuan-Fang Li , Gholamreza Haffari , Guilin Qi , Tongtong Wu

Complex Query Answering (CQA) is a fundamental knowledge representation and reasoning task over incomplete knowledge graphs (KGs). Answering existential first-order queries with $k$ free variables (i.e., $\text{EFO}_k$ queries) is a crucial…

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

We study the computational problem of checking whether a quantified conjunctive query (a first-order sentence built using only conjunction as Boolean connective) is true in a finite poset (a reflexive, antisymmetric, and transitive directed…

Logic in Computer Science · Computer Science 2014-08-20 Simone Bova , Robert Ganian , Stefan Szeider

Dealing with context dependent knowledge has led to different formalizations of the notion of context. Among them is the Contextualized Knowledge Repository (CKR) framework, which is rooted in description logics but links on the reasoning…

Artificial Intelligence · Computer Science 2021-12-23 Loris Bozzato , Thomas Eiter , Rafael Kiesel

Question answering is an effective method for obtaining information from knowledge bases (KB). In this paper, we propose the Neural-Symbolic Complex Question Answering (NS-CQA) model, a data-efficient reinforcement learning framework for…

Computation and Language · Computer Science 2020-11-02 Yuncheng Hua , Yuan-Fang Li , Guilin Qi , Wei Wu , Jingyao Zhang , Daiqing Qi

A conjunctive query (CQ) is semantically acyclic if it is equivalent to an acyclic one. Semantic acyclicity has been studied in the constraint-free case, and deciding whether a query enjoys this property is NP-complete. However, in case the…

Databases · Computer Science 2016-06-06 Pablo Barcelo , Georg Gottlob , Andreas Pieris

Answering complex queries over incomplete knowledge graphs (KGs) is a challenging job. Most previous works have focused on learning entity/relation embeddings and simulating first-order logic operators with various neural networks. However,…

Computation and Language · Computer Science 2025-03-04 Tianle Xia , Liang Ding , Guojia Wan , Yibing Zhan , Bo Du , Dacheng Tao

Embedding knowledge graphs (KGs) for multi-hop logical reasoning is a challenging problem due to massive and complicated structures in many KGs. Recently, many promising works projected entities and queries into a geometric space to…

Machine Learning · Computer Science 2023-04-25 Dong Yang , Peijun Qing , Yang Li , Haonan Lu , Xiaodong Lin

Question Answering (QA) systems are increasingly deployed in applications where they support real-world decisions. However, state-of-the-art models rely on deep neural networks, which are difficult to interpret by humans. Inherently…

The framework of Pearl's Causal Hierarchy (PCH) formalizes three types of reasoning: probabilistic (i.e. purely observational), interventional, and counterfactual, that reflect the progressive sophistication of human thought regarding…

Artificial Intelligence · Computer Science 2025-02-07 Julian Dörfler , Benito van der Zander , Markus Bläser , Maciej Liskiewicz

Preference analysis is widely applied in various domains such as social choice and e-commerce. A recently proposed framework augments the relational database with a preference relation that represents uncertain preferences in the form of…

Databases · Computer Science 2020-03-17 Haoyue Ping , Julia Stoyanovich , Benny Kimelfeld