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Related papers: Rewritability in Monadic Disjunctive Datalog, MMSN…

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We study query containment in three closely related formalisms: monadic disjunctive Datalog (MDDLog), MMSNP (a logical generalization of constraint satisfaction problems), and ontology-mediated queries (OMQs) based on expressive description…

Logic in Computer Science · Computer Science 2020-10-23 Pierre Bourhis , Carsten Lutz

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

We provide an ultimately fine-grained analysis of the data complexity and rewritability of ontology-mediated queries (OMQs) based on an EL ontology and a conjunctive query (CQ). Our main results are that every such OMQ is in AC0,…

Computational Complexity · Computer Science 2019-05-02 Carsten Lutz , Leif Sabellek

A query Q is monotonically determined over a set of views if Q can be expressed as a monotonic function of the view image. In the case of relational algebra views and queries, monotonic determinacy coincides with rewritability as a union of…

Logic in Computer Science · Computer Science 2020-03-13 Michael Benedikt , Stanislav Kikot , Piotr Ostropolski-Nalewaja , Miguel Romero

We study the problem of rewriting an ontology O1 expressed in a DL L1 into an ontology O2 in a Horn DL L2 such that O1 and O2 are equisatisfiable when extended with an arbitrary dataset. Ontologies that admit such rewritings are amenable to…

Artificial Intelligence · Computer Science 2015-04-22 Mark Kaminski , Bernardo Cuenca Grau

We show that deciding boundedness (aka FO-rewritability) of monadic single rule datalog programs (sirups) is 2Exp-hard, which matches the upper bound known since 1988 and finally settles a long-standing open problem. We obtain this result…

Computational Complexity · Computer Science 2021-08-03 Stanislav Kikot , Agi Kurucz , Vladimir Podolskii , Michael Zakharyaschev

We consider ontology-mediated queries (OMQs) based on expressive description logics of the ALC family and (unions) of conjunctive queries, studying the rewritability into OMQs based on instance queries (IQs). Our results include exact…

Artificial Intelligence · Computer Science 2020-10-23 Cristina Feier , Carsten Lutz , Frank Wolter

Aiming at ontology-based data access to temporal data, we design two-dimensional temporal ontology and query languages by combining logics from the (extended) DL-Lite family with linear temporal logic LTL over discrete time (Z,<). Our main…

Logic in Computer Science · Computer Science 2022-10-24 Alessandro Artale , Roman Kontchakov , Alisa Kovtunova , Vladislav Ryzhikov , Frank Wolter , Michael Zakharyaschev

The containment problem of Datalog queries is well known to be undecidable. There are, however, several Datalog fragments for which containment is known to be decidable, most notably monadic Datalog and several "regular" query languages on…

Databases · Computer Science 2014-07-01 Pierre Bourhis , Markus Krötzsch , Sebastian Rudolph

We study FO-rewritability of conjunctive queries in the presence of ontologies formulated in a description logic between EL and Horn-SHIF, along with related query containment problems. Apart from providing characterizations, we establish…

Artificial Intelligence · Computer Science 2020-11-20 Meghyn Bienvenu , Peter Hansen , Carsten Lutz , Frank Wolter

We analyze the data complexity of ontology-mediated querying where the ontologies are formulated in a description logic (DL) of the ALC family and queries are conjunctive queries, positive existential queries, or acyclic conjunctive…

Artificial Intelligence · Computer Science 2023-06-22 Carsten Lutz , Frank Wolter

In many scenarios, complete and incomplete information coexist. For this reason, the knowledge representation and database communities have long shown interest in simultaneously supporting the closed- and the open-world views when reasoning…

Artificial Intelligence · Computer Science 2019-12-17 Shqiponja Ahmetaj , Magdalena Ortiz , Mantas Simkus

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

Our concern is the problem of determining the data complexity of answering an ontology-mediated query (OMQ) formulated in linear temporal logic LTL over (Z,<) and deciding whether it is rewritable to an FO(<)-query, possibly with some extra…

Computational Complexity · Computer Science 2023-03-16 Agi Kurucz , Vladislav Ryzhikov , Yury Savateev , Michael Zakharyaschev

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

We study the problem of eliminating recursion from monadic datalog programs on trees with an infinite set of labels. We show that the boundedness problem, i.e., determining whether a datalog program is equivalent to some nonrecursive one is…

Logic in Computer Science · Computer Science 2015-05-12 Filip Mazowiecki , Joanna Ochremiak , Adam Witkowski

We consider the setting of ontological database access, where an Abox is given in form of a relational database D and where a Boolean conjunctive query q has to be evaluated against D modulo a Tbox T formulated in DL-Lite or Linear…

Artificial Intelligence · Computer Science 2011-07-26 Georg Gottlob , Thomas Schwentick

Magic sets are a Datalog to Datalog rewriting technique to optimize query answering. The rewritten program focuses on a portion of the stable model(s) of the input program which is sufficient to answer the given query. However, the…

Artificial Intelligence · Computer Science 2020-02-19 Mario Alviano , Nicola Leone , Pierfrancesco Veltri , Jessica Zangari

We study the interaction of views, queries, and background knowledge in the form of existential rules. The motivating questions concern monotonic determinacy of a query using views w.r.t. rules, which refers to the ability to recover the…

Databases · Computer Science 2024-07-23 Michael Benedikt , Stanislav Kikot , Johannes Marti , Piotr Ostropolski-Nalewaja

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
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