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The recent outburst of context-dependent knowledge on the Semantic Web (SW) has led to the realization of the importance of the quads in the SW community. Quads, which extend a standard RDF triple, by adding a new parameter of the `context'…

Logic in Computer Science · Computer Science 2014-06-05 Mathew Joseph , Gabriel Kuper , Luciano Serafini

Semantic Web knowledge representation standards, and in particular RDF and OWL, often come endowed with a formal semantics which is considered to be of fundamental importance for the field. Reasoning, i.e., the drawing of logical inferences…

Machine Learning · Computer Science 2018-11-13 Monireh Ebrahimi , Md Kamruzzaman Sarker , Federico Bianchi , Ning Xie , Derek Doran , Pascal Hitzler

Chase algorithms are indispensable in the domain of knowledge base querying, which enable the extraction of implicit knowledge from a given database via applications of rules from a given ontology. Such algorithms have proved beneficial in…

Logic in Computer Science · Computer Science 2023-06-06 Tim S. Lyon , Piotr Ostropolski-Nalewaja

Graph-based Retrieval-Augmented Generation (RAG) systems leverage interconnected knowledge structures to capture complex relationships that flat retrieval struggles with, enabling multi-hop reasoning. Yet most existing graph-based methods…

The Shapes Constraint Language (SHACL) was standardized by the World Wide Web as a constraint language to describe and validate RDF data graphs. SHACL uses the notion of shapes graph to describe a set of shape constraints paired with…

Computational Complexity · Computer Science 2024-08-01 Shqiponja Ahmetaj , Timo Camillo Merkl , Reinhard Pichler

Type theories with multi-clocked guarded recursion provide a flexible framework for programming with coinductive types encoding productivity in types. Combining this with solutions to general guarded domain equations one can also construct…

Logic in Computer Science · Computer Science 2025-12-15 Rasmus Ejlers Møgelberg

We consider existential rules (aka Datalog+) as a formalism for specifying ontologies. In recent years, many classes of existential rules have been exhibited for which conjunctive query (CQ) entailment is decidable. However, most of these…

Artificial Intelligence · Computer Science 2017-01-06 Jean-François Baget , Meghyn Bienvenu , Marie-Laure Mugnier , Swan Rocher

Extensive research in the field of ontology-based query answering has led to the identification of numerous fragments of existential rules (also known as tuple-generating dependencies) that exhibit decidable answering of atomic and…

Databases · Computer Science 2024-07-22 Piotr Ostropolski-Nalewaja , Sebastian Rudolph

Semantic knowledge graphs are foundational to implementing the FAIR Principles, yet RDF/OWL representations often lack the semantic flexibility and cognitive interoperability required in scientific domains. We present a novel framework for…

Databases · Computer Science 2025-06-09 Lars Vogt

Open-world query answering is the problem of deciding, given a set of facts, conjunction of constraints, and query, whether the facts and constraints imply the query. This amounts to reasoning over all instances that include the facts and…

Logic in Computer Science · Computer Science 2016-07-19 Antoine Amarilli , Michael Benedikt

Answering conjunctive queries (CQs) over a set of facts extended with existential rules is a prominent problem in knowledge representation and databases. This problem can be solved using the chase algorithm, which extends the given set of…

Hybrid MKNF knowledge bases are one of the most prominent tightly integrated combinations of open-world ontology languages with closed-world (non-monotonic) rule paradigms. The definition of Hybrid MKNF is parametric on the description…

Artificial Intelligence · Computer Science 2011-12-12 José Júlio Alferes , Matthias Knorr , Terrance Swift

Existential rules have been proposed for representing ontological knowledge, specifically in the context of Ontology-Based Query Answering. Entailment with existential rules is undecidable. We focus in this paper on conditions that ensure…

Artificial Intelligence · Computer Science 2014-07-28 Jean-Francois Baget , Fabien Garreau , Marie-Laure Mugnier , Swan Rocher

Question answering over RDF data like knowledge graphs has been greatly advanced, with a number of good systems providing crisp answers for natural language questions or telegraphic queries. Some of these systems incorporate textual sources…

Information Retrieval · Computer Science 2024-09-24 Soumajit Pramanik , Jesujoba Alabi , Rishiraj Saha Roy , Gerhard Weikum

In the field of non-monotonic logics, the notion of Rational Closure (RC) is acknowledged as a prominent approach. In recent years, RC has gained even more popularity in the context of Description Logics (DLs), the logic underpinning the…

Artificial Intelligence · Computer Science 2023-06-02 Giovanni Casini , Umberto Straccia

The task of answering natural language questions over RDF data has received wide interest in recent years, in particular in the context of the series of QALD benchmarks. The task consists of mapping a natural language question to an…

Artificial Intelligence · Computer Science 2018-02-27 Sherzod Hakimov , Soufian Jebbara , Philipp Cimiano

The ability of reasoning over evidence has received increasing attention in question answering (QA). Recently, natural language database (NLDB) conducts complex QA in knowledge base with textual evidences rather than structured…

Computation and Language · Computer Science 2022-10-18 Minjun Zhu , Yixuan Weng , Shizhu He , Kang Liu , Jun Zhao

The challenge of answering graph queries over incomplete knowledge graphs is gaining significant attention in the machine learning community. Neuro-symbolic models have emerged as a promising approach, combining good performance with high…

Machine Learning · Computer Science 2024-06-06 Tamara Cucumides , Daniel Daza , Pablo Barceló , Michael Cochez , Floris Geerts , Juan L Reutter , Miguel Romero

Extractive reading comprehension systems can often locate the correct answer to a question in a context document, but they also tend to make unreliable guesses on questions for which the correct answer is not stated in the context. Existing…

Computation and Language · Computer Science 2018-06-12 Pranav Rajpurkar , Robin Jia , Percy Liang

Existential rules form an expressive Datalog-based language to specify ontological knowledge. The presence of existential quantification in rule-heads, however, makes the main reasoning tasks undecidable. To overcome this limitation, in the…

Computational Complexity · Computer Science 2023-07-25 Georg Gottlob , Marco Manna , Cinzia Marte
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