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In the context of ontology-mediated querying with description logics (DLs), we study the data complexity of queries in which selected predicates can be closed (OMQCs). We provide a non-uniform analysis, aiming at a classification of the…

Logic in Computer Science · Computer Science 2023-06-22 Carsten Lutz , Inanc Seylan , Frank Wolter

This paper proposes the problem of Deep Question Generation (DQG), which aims to generate complex questions that require reasoning over multiple pieces of information of the input passage. In order to capture the global structure of the…

Computation and Language · Computer Science 2020-04-28 Liangming Pan , Yuxi Xie , Yansong Feng , Tat-Seng Chua , Min-Yen Kan

Answering Conjunctive Queries (CQs) and solving Constraint Satisfaction Problems (CSPs) are arguably among the most fundamental tasks in Computer Science. They are classical NP-complete problems. Consequently, the search for tractable…

Databases · Computer Science 2018-12-14 Georg Gottlob , Matthias Lanzinger , Reinhard Pichler

We consider the class of conditional graph patterns (\emph{CGPs}) that allow user to query data graphs with complex patterns that contain negation and predicates. To overcome the prohibitive cost of subgraph isomorphism, we consider…

Databases · Computer Science 2022-07-27 Houari Mahfoud

In the article 'Recursive queries on trees and data trees' (ICDT'13), Abiteboul et al., asked whether the containment problem for monadic datalog over unordered unranked labeled trees using the child relation and the descendant relation is…

Logic in Computer Science · Computer Science 2013-10-07 André Frochaux , Nicole Schweikardt

We study the complexity of ontology-mediated querying when ontologies are formulated in the guarded fragment of first-order logic (GF). Our general aim is to classify the data complexity on the level of ontologies where query evaluation…

Databases · Computer Science 2018-04-20 Andre Hernich , Carsten Lutz , Fabio Papacchini , Frank Wolter

Motivated by applications in declarative data analysis, we study $\mathit{Datalog}_{\mathbb{Z}}$---an extension of positive Datalog with arithmetic functions over integers. This language is known to be undecidable, so we propose two…

Artificial Intelligence · Computer Science 2017-11-15 Mark Kaminski , Bernardo Cuenca Grau , Egor V. Kostylev , Boris Motik , Ian Horrocks

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 logical queries on incomplete knowledge graphs is a challenging task, and has been widely studied. Embedding-based methods require training on complex queries, and cannot generalize well to out-of-distribution query…

Machine Learning · Computer Science 2023-06-08 Yushi Bai , Xin Lv , Juanzi Li , Lei Hou

We study rewritability of monadic disjunctive Datalog programs, (the complements of) MMSNP sentences, and ontology-mediated queries (OMQs) based on expressive description logics of the ALC family and on conjunctive queries. We show that…

Logic in Computer Science · Computer Science 2023-06-22 Cristina Feier , Antti Kuusisto , Carsten Lutz

Two-way regular path queries (2RPQs) have received increased attention recently due to their ability to relate pairs of objects by flexibly navigating graph-structured data. They are present in property paths in SPARQL 1.1, the new standard…

Logic in Computer Science · Computer Science 2014-03-05 Meghyn Bienvenu , Diego Calvanese , Magdalena Ortiz , Mantas Simkus

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

Monadic comprehensions reign over the realm of language-integrated query (LINQ), and for good reasons. Indeed, comprehensions are tightly integrated with general purpose programming languages and close enough to common query languages, such…

Programming Languages · Computer Science 2020-09-03 J. López-González , Juan M. Serrano

We study the enumeration of answers to ontology-mediated queries (OMQs) where the ontology is a set of guarded TGDs or formulated in the description logic ELI and the query is a conjunctive query (CQ). In addition to the traditional notion…

Databases · Computer Science 2022-03-18 Carsten Lutz , Marcin Przybyłko

This paper explores the computational complexity of various natural one-variable fragments of first-order modal logics with the addition of counting quantifiers, over both constant and varying domains. The addition of counting quantifiers…

Logic in Computer Science · Computer Science 2018-12-18 Christopher Hampson

Datalog^E is the extension of Datalog with existential quantification. While its high expressive power, underpinned by a simple syntax and the support for full recursion, renders it particularly suitable for modern applications on knowledge…

Logic in Computer Science · Computer Science 2022-08-11 Teodoro Baldazzi , Luigi Bellomarini , Marco Favorito , Emanuel Sallinger

In this paper, we focus on the problem of determining whether two conjunctive ("CQ") queries posed on relational data are combined-semantics equivalent [9]. We continue the tradition of [2,5,9] of studying this problem using the tool of…

Databases · Computer Science 2014-08-15 Rada Chirkova

Conjunctive queries play an important role as an expressive query language for Description Logics (DLs). Although modern DLs usually provide for transitive roles, conjunctive query answering over DL knowledge bases is only poorly understood…

Artificial Intelligence · Computer Science 2011-11-02 Birte Glimm , Ian Horrocks , Carsten Lutz , Ulrike Sattler

To answer database queries over incomplete data the gold standard is finding certain answers: those that are true regardless of how incomplete data is interpreted. Such answers can be found efficiently for conjunctive queries and their…

Databases · Computer Science 2023-10-20 Amélie Gheerbrant , Leonid Libkin , Alexandra Rogova , Cristina Sirangelo

We present initial limit Datalog, a new extensible class of constrained Horn clauses for which the satisfiability problem is decidable. The class may be viewed as a generalisation to higher-order logic (with a simple restriction on types)…

Logic in Computer Science · Computer Science 2021-04-30 Toby Cathcart Burn , Luke Ong , Steven Ramsay , Dominik Wagner