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Fuzzy Description Logics (DLs) provide a means for representing vague knowledge about an application domain. In this paper, we study fuzzy extensions of conjunctive queries (CQs) over the DL $\mathcal{SROIQ}$ based on finite chains of…

Logic in Computer Science · Computer Science 2015-10-15 Stefan Borgwardt , Theofilos Mailis , Rafael Peñaloza , Anni-Yasmin Turhan

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

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

In ontology-mediated query answering, access to incomplete data sources is mediated by a conceptual layer constituted by an ontology. To correctly compute answers to queries, it is necessary to perform complex reasoning over the constraints…

Databases · Computer Science 2022-08-17 Christian Alrabbaa , Stefan Borgwardt , Patrick Koopmann , Alisa Kovtunova

In ontology-mediated query answering, access to incomplete data sources is mediated by a conceptual layer constituted by an ontology, which can be formulated in a description logic (DL) or using existential rules. In the literature, there…

Logic in Computer Science · Computer Science 2022-08-31 Christian Alrabbaa , Stefan Borgwardt , Patrick Koopmann , Alisa Kovtunova

Querying large datasets with incomplete and vague data is still a challenge. Ontology-based query answering extends standard database query answering by background knowledge from an ontology to augment incomplete data. We focus on…

Logic in Computer Science · Computer Science 2018-08-07 Rafael Peñaloza , Veronika Thost , Anni-Yasmin Turhan

One of the challenges in information retrieval is providing accurate answers to a user's question often expressed as uncertainty words. Most answers are based on a Syntactic approach rather than a Semantic analysis of the query. In this…

Information Retrieval · Computer Science 2017-10-31 Monika Rani , Maybin K. Muyeba , O. P. Vyas

Fuzzy answer set programming is a declarative framework for representing and reasoning about knowledge in fuzzy environments. However, the unavailability of fuzzy aggregates in disjunctive fuzzy logic programs, DFLP, with fuzzy answer set…

Artificial Intelligence · Computer Science 2013-04-09 Emad Saad

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

Fuzzy Description Logics (FDLs) are logic-based formalisms used to represent and reason with vague or imprecise knowledge. It has been recently shown that reasoning in most FDLs using truth values from the interval [0,1] becomes undecidable…

Artificial Intelligence · Computer Science 2015-09-30 Stefan Borgwardt , Rafael Peñaloza

In ontology-mediated querying, description logic (DL) ontologies are used to enrich incomplete data with domain knowledge which results in more complete answers to queries. However, the evaluation of ontology-mediated queries (OMQs) over…

Databases · Computer Science 2020-07-30 Pablo Barcelo , Cristina Feier , Carsten Lutz , Andreas Pieris

Large Language Models (LLMs) achieve strong performance in analyzing and generating text, yet they struggle with explicit, transparent, and verifiable reasoning over complex texts such as those containing debates. In particular, they lack…

Artificial Intelligence · Computer Science 2026-03-04 Gianvincenzo Alfano , Sergio Greco , Lucio La Cava , Stefano Francesco Monea , Irina Trubitsyna

It is widely recognized today that the management of imprecision and vagueness will yield more intelligent and realistic knowledge-based applications. Description Logics (DLs) are a family of knowledge representation languages that have…

Artificial Intelligence · Computer Science 2011-11-02 I. Horrocks , J. Z. Pan , G. Stamou , G. Stoilos , V. Tzouvaras

Answering complex First-Order Logical (FOL) queries on large-scale incomplete knowledge graphs (KGs) is an important yet challenging task. Recent advances embed logical queries and KG entities in the same space and conduct query answering…

Machine Learning · Computer Science 2022-06-17 Xuelu Chen , Ziniu Hu , Yizhou Sun

One of the main challenges in the area of Neuro-Symbolic AI is to perform logical reasoning in the presence of both neural and symbolic data. This requires combining heterogeneous data sources such as knowledge graphs, neural model…

Artificial Intelligence · Computer Science 2024-03-06 Matthias Lanzinger , Stefano Sferrazza , Przemysław A. Wałęga , Georg Gottlob

Reasoning on knowledge graphs is a challenging task because it utilizes observed information to predict the missing one. Particularly, answering complex queries based on first-order logic is one of the crucial tasks to verify learning to…

Artificial Intelligence · Computer Science 2024-10-23 Hang Yin , Zihao Wang , Yangqiu Song

Ontology-based query answering (OBQA) augments classical query answering in databases by domain knowledge encoded in an ontology. Systems for OBQA use the ontological knowledge to infer new information that is not explicitly given in the…

Logic in Computer Science · Computer Science 2020-03-24 Stefan Borgwardt , Veronika Thost

The need to deal with vague information in Semantic Web languages is rising in importance and, thus, calls for a standard way to represent such information. We may address this issue by either extending current Semantic Web languages to…

Logic in Computer Science · Computer Science 2010-11-05 Fernando Bobillo , Umberto Straccia

Deep learning models are often unaware of the inherent constraints of the task they are applied to. However, many downstream tasks require logical consistency. For ontology classification tasks, such constraints include subsumption and…

Artificial Intelligence · Computer Science 2024-08-20 Simon Flügel , Martin Glauer , Till Mossakowski , Fabian Neuhaus

Description logics (DLs) are a suitable formalism for representing knowledge about domains in which objects are described not only by attributes but also by binary relations between objects. Fuzzy extensions of DLs can be used for such…

Logic in Computer Science · Computer Science 2020-08-10 Linh Anh Nguyen , Quang-Thuy Ha , Ngoc Thanh Nguyen , Thi Hong Khanh Nguyen , Thanh-Luong Tran
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