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Rewriting-based approaches for answering queries over an OWL 2 DL ontology have so far been developed mainly for Horn fragments of OWL 2 DL. In this paper, we study the possibilities of answering queries over non-Horn ontologies using…

Artificial Intelligence · Computer Science 2013-04-09 Bernardo Cuenca Grau , Boris Motik , Giorgos Stoilos , Ian Horrocks

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

Reasoning over OWL 2 is a very expensive task in general, and therefore the W3C identified tractable profiles exhibiting good computational properties. Ontological reasoning for many fragments of OWL 2 can be reduced to the evaluation of…

Artificial Intelligence · Computer Science 2020-03-24 Mario Alviano , Marco Manna

We investigate the size of first-order rewritings of conjunctive queries over OWL 2 QL ontologies of depth 1 and 2 by means of hypergraph programs computing Boolean functions. Both positive and negative results are obtained. Conjunctive…

Logic in Computer Science · Computer Science 2014-01-23 Stanislav Kikot , Roman Kontchakov , Vladimir Podolskii , Michael Zakharyaschev

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

State constraints in AI Planning globally restrict the legal environment states. Standard planning languages make closed-domain and closed-world assumptions. Here we address open-world state constraints formalized by planning over a…

Artificial Intelligence · Computer Science 2022-03-18 Stefan Borgwardt , Jörg Hoffmann , Alisa Kovtunova , Markus Krötzsch , Bernhard Nebel , Marcel Steinmetz

We introduce ontology-mediated planning, in which planning problems are combined with an ontology. Our formalism differs from existing ones in that we focus on a strong separation of the formalisms for describing planning problems and…

Artificial Intelligence · Computer Science 2024-08-15 Tobias John , Patrick Koopmann

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

While classical planning languages make the closed-domain and closed-world assumption, there have been various approaches to extend those with DL reasoning, which is then interpreted under the usual open-world semantics. Current approaches…

Artificial Intelligence · Computer Science 2023-08-17 Tobias John , Patrick Koopmann

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

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

We study rewritability of monadic disjunctive Datalog programs, (the complements of) MMSNP sentences, and ontology-mediated queries (OMQs) based on expressive description logics of the ALC family and on conjunctive queries. We show that…

Logic in Computer Science · Computer Science 2023-06-22 Cristina Feier , Antti Kuusisto , Carsten Lutz

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

We show that, for OWL 2 QL ontology-mediated queries with (i) ontologies of bounded depth and conjunctive queries of bounded treewidth, (ii) ontologies of bounded depth and bounded-leaf tree-shaped conjunctive queries, and (iii) arbitrary…

Logic in Computer Science · Computer Science 2016-04-19 Meghyn Bienvenu , Stanislav Kikot , Roman Kontchakov , Vladimir V. Podolskii , Michael Zakharyaschev

The literature on ontology-mediated query answering (OMQA) has been shaped by two key results: first-order rewritability for DL-Lite, and PTime-hardness of data complexity for essentially every description logic beyond it. This has…

Logic in Computer Science · Computer Science 2026-05-14 Janos Arpasi , Bartosz Jan Bednarczyk , Magdalena Ortiz

In this paper, we introduce the problem of rewriting finite formal languages using syntactic macros such that the rewriting is minimal in size. We present polynomial-time algorithms to solve variants of this problem and show their…

Artificial Intelligence · Computer Science 2023-12-19 Christian Kindermann , Anne-Marie George , Bijan Parsia , Uli Sattler

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

Reasoning with ontologies is one of the core fields of research in Description Logics. A variety of efficient reasoner with highly optimized algorithms have been developed to allow inference tasks on expressive ontology languages such as…

Artificial Intelligence · Computer Science 2015-10-01 Nourhène Alaya , Sadok Ben Yahia , Myriam Lamolle

Ontologies are useful for automatic machine processing of domain knowledge as they represent it in a structured format. Yet, constructing ontologies requires substantial manual effort. To automate part of this process, large language models…

Machine Learning · Computer Science 2024-11-01 Andy Lo , Albert Q. Jiang , Wenda Li , Mateja Jamnik

We study the problem of learning description logic (DL) ontologies in Angluin et al.'s framework of exact learning via queries. We admit membership queries ("is a given subsumption entailed by the target ontology?") and equivalence queries…

Machine Learning · Computer Science 2017-09-22 Boris Konev , Carsten Lutz , Ana Ozaki , Frank Wolter
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