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We consider entailment problems involving powerful constraint languages such as guarded existential rules, in which additional semantic restrictions are put on a set of distinguished relations. We consider restricting a relation to be…

Databases · Computer Science 2019-03-21 Antoine Amarilli , Michael Benedikt , Pierre Bourhis , Michael Vanden Boom

To achieve scalability of query answering, the developers of Semantic Web applications are often forced to use incomplete OWL 2 reasoners, which fail to derive all answers for at least one query, ontology, and data set. The lack of…

Artificial Intelligence · Computer Science 2014-01-21 Bernardo Cuenca Grau , Boris Motik , Giorgos Stoilos , Ian Horrocks

State-of-the-art extractive question-answering models achieve superhuman performances on the SQuAD benchmark. Yet, they are unreasonably heavy and need expensive GPU computing to answer questions in a reasonable time. Thus, they cannot be…

Computation and Language · Computer Science 2025-03-11 Sofian Chaybouti , Achraf Saghe , Aymen Shabou

The question whether an ontology can safely be replaced by another, possibly simpler, one is fundamental for many ontology engineering and maintenance tasks. It underpins, for example, ontology versioning, ontology modularization,…

Artificial Intelligence · Computer Science 2018-04-24 Elena Botoeva , Boris Konev , Carsten Lutz , Vladislav Ryzhikov , Frank Wolter , Michael Zakharyaschev

We contribute the first denotational semantics of polymorphic dependent type theory extended by an equational theory for general (higher-order) reference types and recursive types, based on a combination of guarded recursion and…

Programming Languages · Computer Science 2023-04-13 Jonathan Sterling , Daniel Gratzer , Lars Birkedal

This paper studies the complexity of evaluating functional query languages for complex values such as monad algebra and the recursion-free fragment of XQuery. We show that monad algebra with equality restricted to atomic values is complete…

Databases · Computer Science 2007-05-23 Christoph Koch

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

The problem of checking whether a recursive query can be rewritten as query without recursion is a fundamental reasoning task, known as the boundedness problem. Here we study the boundedness problem for Unions of Conjunctive Regular Path…

Databases · Computer Science 2024-07-31 Diego Figueira , S. Krishna , Om Swostik Mishra , Anantha Padmanabha

We present a novel approach to answering sequential questions based on structured objects such as knowledge bases or tables without using a logical form as an intermediate representation. We encode tables as graphs using a graph neural…

Computation and Language · Computer Science 2019-09-02 Thomas Müller , Francesco Piccinno , Massimo Nicosia , Peter Shaw , Yasemin Altun

In this paper, we present an interactive semantics for derivations in an infinitary extension of classical logic. The formulas of our language are possibly infinitary trees labeled by propositional variables and logical connectives. We show…

Logic in Computer Science · Computer Science 2014-09-12 Michele Basaldella

The languages of logics based on team semantics typically only allow atomic negation or restricted negation. In this paper, we explore propositional team-based logics with full (intuitionistic) negation. We demonstrate that including full…

Logic · Mathematics 2024-10-21 Fan Yang

When a relational database is queried, the result is normally a relation. Some queries, however, only require a yes/no answer; such queries are often called boolean queries. It is customary in database theory to express boolean queries by…

Databases · Computer Science 2019-03-04 Dimitri Surinx , Jan Van den Bussche

OWL 2 has been standardized by the World Wide Web Consortium (W3C) as a family of ontology languages for the Semantic Web. The most expressive of these languages is OWL 2 Full, but to date no reasoner has been implemented for this language.…

Artificial Intelligence · Computer Science 2011-08-02 Michael Schneider , Geoff Sutcliffe

In this paper we take closer look at recent developments for the chase procedure, and provide additional results. Our analysis allows us create a taxonomy of the chase variations and the properties they satisfy. Two of the most central…

Databases · Computer Science 2014-07-10 Gosta Grahne , Adrian Onet

Comparing relational languages by their logical expressiveness is well understood. Less well understood is how to compare relational languages by their ability to represent relational query patterns. Indeed, what are query patterns other…

Databases · Computer Science 2024-01-11 Wolfgang Gatterbauer , Cody Dunne

Motivated by old and new applications, we investigate Datalog as a language for sequence databases. We reconsider classical features of Datalog programs, such as negation, recursion, intermediate predicates, and relations of higher arities.…

Databases · Computer Science 2022-06-15 Heba Aamer , Jan Hidders , Jan Paredaens , Jan Van den Bussche

In this paper, we introduce a novel approach to deductive databases meant to take into account the needs of current applications in the area of data integration. To this end, we extend the formalism of standard deductive databases to the…

Databases · Computer Science 2021-08-06 Dominique Laurent , Nicolas Spyratos

We study the problem of rewriting a disjunctive datalog program into plain datalog. We show that a disjunctive program is rewritable if and only if it is equivalent to a linear disjunctive program, thus providing a novel characterisation of…

Artificial Intelligence · Computer Science 2014-04-14 Mark Kaminski , Yavor Nenov , Bernardo Cuenca Grau

Ontologies often require knowledge representation on multiple levels of abstraction, but description logics (DLs) are not well-equipped for supporting this. We propose an extension of DLs in which abstraction levels are first-class citizens…

Artificial Intelligence · Computer Science 2023-10-23 Carsten Lutz , Lukas Schulze

In the Declarative Networking paradigm, Datalog-like languages are used to express distributed computations. Whereas recently formal operational semantics for these languages have been developed, a corresponding declarative semantics has…

Logic in Computer Science · Computer Science 2020-02-19 Tom J. Ameloot , Jan Van den Bussche , William R. Marczak , Peter Alvaro , Joseph M. Hellerstein