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Existential rules are a positive fragment of first-order logic that generalizes function-free Horn rules by allowing existentially quantified variables in rule heads. This family of languages has recently attracted significant interest in…

Artificial Intelligence · Computer Science 2021-01-13 Stathis Delivorias , Michel Leclère , Marie-Laure Mugnier , Federico Ulliana

Methods for query answering over incomplete knowledge graphs retrieve entities that are likely to be answers, which is particularly useful when such answers cannot be reached by direct graph traversal due to missing edges. However, existing…

Artificial Intelligence · Computer Science 2026-05-25 Daniel Daza , Alberto Bernardi , Luca Costabello , Christophe Gueret , Masoud Mansoury , Michael Cochez , Martijn Schut

A data integration system provides transparent access to different data sources by suitably combining their data, and providing the user with a unified view of them, called global schema. However, source data are generally not under the…

Databases · Computer Science 2011-10-10 Marco Manna , Francesco Ricca , Giorgio Terracina

We define a new subclass of nondeterministic finite automata for prefix-closed languages called Flanked Finite Automata (FFA). We show that this class enjoys good complexity properties while preserving the succinctness of nondeterministic…

Formal Languages and Automata Theory · Computer Science 2015-09-23 Florent Avellaneda , Silvano Dal Zilio , Jean-Baptiste Raclet

Existential rules are a very popular ontology-mediated query language for which the chase represents a generic computational approach for query answering. It is straightforward that existential rule queries exhibiting chase termination are…

Logic in Computer Science · Computer Science 2021-07-19 Camille Bourgaux , David Carral , Markus Krötzsch , Sebastian Rudolph , Michaël Thomazo

We present assertion based question answering (ABQA), an open domain question answering task that takes a question and a passage as inputs, and outputs a semi-structured assertion consisting of a subject, a predicate and a list of…

Computation and Language · Computer Science 2018-01-24 Zhao Yan , Duyu Tang , Nan Duan , Shujie Liu , Wendi Wang , Daxin Jiang , Ming Zhou , Zhoujun Li

Many efforts have been dedicated to identifying restrictions on ontologies expressed as tuple-generating dependencies (tgds), a.k.a. existential rules, that lead to the decidability for the problem of answering ontology-mediated queries…

Databases · Computer Science 2017-04-20 Pablo Barcelo , Gerald Berger , Andreas Pieris

We study first-order logic over unordered structures whose elements carry a finite number of data values from an infinite domain which can be compared wrt. equality. As the satisfiability problem for this logic is undecidable in general, in…

Logic in Computer Science · Computer Science 2022-09-22 Benedikt Bollig , Arnaud Sangnier , Olivier Stietel

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…

Answering Boolean conjunctive queries over the guarded fragment is decidable, however, as yet no practical decision procedure exists. Meanwhile, ordered resolution, as a practically oriented algorithm, is widely used in state-of-art modern…

Logic in Computer Science · Computer Science 2020-07-23 Sen Zheng , Renate A. Schmidt

The chase is a fundamental tool for existential rules. Several chase variants are known, which differ on how they handle redundancies possibly caused by the introduction of nulls. Given a chase variant, the halting problem takes as input a…

Artificial Intelligence · Computer Science 2018-10-23 Stathis Delivorias , Michel Leclere , Marie-Laure Mugnier , Federico Ulliana

Question answering (QA) is a critical task for speech-based retrieval from knowledge sources, by sifting only the answers without requiring to read supporting documents. Specifically, open-domain QA aims to answer user questions on…

Computation and Language · Computer Science 2023-08-09 Sang-eun Han , Yeonseok Jeong , Seung-won Hwang , Kyungjae Lee

We study the evaluation of ontology-mediated queries (OMQs) on databases of bounded cliquewidth from the viewpoint of parameterized complexity theory. As the ontology language, we consider the description logics $\mathcal{ALC}$ and…

Databases · Computer Science 2022-09-15 Carsten Lutz , Leif Sabellek , Lukas Schulze

In our pursuit of generic criteria for decidable ontology-based querying, we introduce 'finite-cliquewidth sets' (FCS) of existential rules, a model-theoretically defined class of rule sets, inspired by the cliquewidth measure from graph…

Logic in Computer Science · Computer Science 2022-09-07 Thomas Feller , Tim S. Lyon , Piotr Ostropolski-Nalewaja , Sebastian Rudolph

To answer complex queries on knowledge graphs, logical reasoning over incomplete knowledge is required due to the open-world assumption. Learning-based methods are essential because they are capable of generalizing over unobserved…

Artificial Intelligence · Computer Science 2023-07-27 Hang Yin , Zihao Wang , Weizhi Fei , Yangqiu Song

Existential rules, long known as tuple-generating dependencies in database theory, have been intensively studied in the last decade as a powerful formalism to represent ontological knowledge in the context of ontology-based query answering.…

Logic in Computer Science · Computer Science 2018-10-05 Michel Leclere , Marie-Laure Mugnier , Michael Thomazo , Federico Ulliana

In ontology-based data access (OBDA), ontologies have been successfully employed for querying possibly unstructured and incomplete data. In this paper, we advocate using ontologies not only to formulate queries and compute their answers,…

Logic in Computer Science · Computer Science 2018-08-09 Medina Andreşel , Yazmin Ibáñez-García , Magdalena Ortiz , Mantas Šimkus

Possibility theory offers a framework where both Lehmann's "preferential inference" and the more productive (but less cautious) "rational closure inference" can be represented. However, there are situations where the second inference does…

Artificial Intelligence · Computer Science 2013-02-18 Salem Benferhat , Didier Dubois , Henri Prade

We study the description logic SQ with number restrictions applicable to transitive roles, extended with either nominals or inverse roles. We show tight 2EXPTIME upper bounds for unrestricted entailment of regular path queries for both…

Logic in Computer Science · Computer Science 2020-10-23 Thomas Gogacz , Víctor Gutiérrez-Basulto , Yazmín Ibáñez-García , Jean Christoph Jung , Filip Murlak

In open question answering (QA), the answer to a question is produced by retrieving and then analyzing documents that might contain answers to the question. Most open QA systems have considered only retrieving information from unstructured…

Computation and Language · Computer Science 2021-02-11 Wenhu Chen , Ming-Wei Chang , Eva Schlinger , William Wang , William W. Cohen