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In this paper, we study the data complexity of querying inconsistent weighted description logic (DL) knowledge bases under recently-introduced cost-based semantics. In a nutshell, the idea is to assign each interpretation a cost based upon…

Artificial Intelligence · Computer Science 2025-11-17 Meghyn Bienvenu , Quentin Manière

We address the problem of Conjunctive Query Answering (CQA) for the description logic $\dlssx$ ($\shdlssx$, for short) which extends the logic $\dlss$ with Boolean operations on concrete roles and with the product of concepts. The result is…

Logic in Computer Science · Computer Science 2016-06-24 Domenico Cantone , Marianna Nicolosi-Asmundo , Daniele Francesco Santamaria

Question Answering (QA) systems provide easy access to the vast amount of knowledge without having to know the underlying complex structure of the knowledge. The research community has provided ad hoc solutions to the key QA tasks,…

Computation and Language · Computer Science 2019-06-11 Somayeh Asadifar , Mohsen Kahani , Saeedeh Shekarpour

Constrained Horn Clauses (CHCs) are an intermediate program representation that can be generated by several verification tools, and that can be processed and solved by a number of Horn solvers. One of the main challenges when using CHCs in…

Logic in Computer Science · Computer Science 2021-04-12 Zafer Esen , Philipp Rümmer

We investigate the data complexity of answering queries mediated by metric temporal logic ontologies under the event-based semantics assuming that data instances are finite timed words timestamped with binary fractions. We identify classes…

Logic in Computer Science · Computer Science 2019-07-02 Vladislav Ryzhikov , Przemyslaw Andrzej Walega , Michael Zakharyaschev

Query containment and query answering are two important computational tasks in databases. While query answering amounts to compute the result of a query over a database, query containment is the problem of checking whether for every…

Databases · Computer Science 2007-05-23 Diego Calvanese , Giuseppe De Giacomo , Maurizio Lenzerini

We often add arithmetic to extend the expressiveness of query languages and study the complexity of problems such as testing query containment and finding certain answers in the framework of answering queries using views. When adding…

Databases · Computer Science 2020-11-19 Foto N. Afrati , Matthew Damigos

Database theory is exciting because it studies highly general and practically useful abstractions. Conjunctive query (CQ) evaluation is a prime example: it simultaneously generalizes graph pattern matching, constraint satisfaction, and…

Databases · Computer Science 2026-04-07 Mahmoud Abo Khamis , Hung Q. Ngo , Dan Suciu

Conjunctive queries are basic and heavily studied database queries; in relational algebra, they are the select-project-join queries. In this article, we study the fundamental problem of counting, given a conjunctive query and a relational…

Computational Complexity · Computer Science 2015-01-22 Hubie Chen , Stefan Mengel

We introduce and study several notions of approximation for ontology-mediated queries based on the description logics ALC and ALCI. Our approximations are of two kinds: we may (1) replace the ontology with one formulated in a tractable…

Artificial Intelligence · Computer Science 2022-07-01 Anneke Haga , Carsten Lutz , Leif Sabellek , Frank Wolter

We propose a novel, type-elimination-based method for reasoning in the description logic SHIQbs including DL-safe rules. To this end, we first establish a knowledge compilation method converting the terminological part of an ALCIb knowledge…

Logic in Computer Science · Computer Science 2015-07-01 Sebastian Rudolph , Markus Krötzsch , Pascal Hitzler

Organisations store huge amounts of data from multiple heterogeneous sources in the form of Knowledge Graphs (KGs). One of the ways to query these KGs is to use SPARQL queries over a database engine. Since SPARQL follows exact match…

Databases · Computer Science 2017-11-22 Madhulika Mohanty , Maya Ramanath , Mohamed Yahya , Gerhard Weikum

Motivated by the incompleteness of modern knowledge graphs, a new setup for query answering has emerged, where the goal is to predict answers that do not necessarily appear in the knowledge graph, but are present in its completion. In this…

Machine Learning · Computer Science 2026-01-30 Krzysztof Olejniczak , Xingyue Huang , Mikhail Galkin , İsmail İlkan Ceylan

We study the tractability of conjunctive query answering for queries with unbounded arity. It is well known that tractability of the problem can be characterised in terms of the queries treewidth under the assumption of bounded arity. We…

Databases · Computer Science 2022-06-14 Matthias Lanzinger

A correspondence is established between the elements of logic reasoning systems (knowledge bases, rules, inference and queries) and the hardware and dynamical operations of neural networks. The correspondence is framed as a general…

Disordered Systems and Neural Networks · Physics 2007-05-23 Joao Martins , R. Vilela Mendes

In logic-based knowledge representation, query answering has essentially replaced mere satisfiability checking as the inferencing problem of primary interest. For knowledge bases in the basic description logic ALC, the computational…

Logic in Computer Science · Computer Science 2021-08-17 Bartosz Bednarczyk , Sebastian Rudolph

We study the problem of consistent query answering under primary key violations. In this setting, the relations in a database violate the key constraints and we are interested in maximal subsets of the database that satisfy the constraints,…

Databases · Computer Science 2014-01-17 Paraschos Koutris , Dan Suciu

We investigate the data complexity of the satisfiability problem for the very expressive description logic ZOIQ (a.k.a. ALCHb Self reg OIQ) over quasi-forests and establish its NP-completeness. This completes the data complexity landscape…

Logic in Computer Science · Computer Science 2024-06-12 Bartosz Bednarczyk

In Textual question answering (TQA) systems, complex questions often require retrieving multiple textual fact chains with multiple reasoning steps. While existing benchmarks are limited to single-chain or single-hop retrieval scenarios. In…

Computation and Language · Computer Science 2023-05-24 Minjun Zhu , Yixuan Weng , Shizhu He , Kang Liu , Jun Zhao

Ontology-mediated query answering (OMQA) is a promising approach to data access and integration that has been actively studied in the knowledge representation and database communities for more than a decade. The vast majority of work on…

Logic in Computer Science · Computer Science 2020-09-22 Meghyn Bienvenu , Quentin Manière , Michaël Thomazo