no code implementations • 8 Aug 2023 • James P. Delgrande, Birte Glimm, Thomas Meyer, Miroslaw Truszczynski, Frank Wolter
Knowledge Representation and Reasoning is a central, longstanding, and active area of Artificial Intelligence.
no code implementations • 13 Jun 2023 • Jean Christoph Jung, Vladislav Ryzhikov, Frank Wolter, Michael Zakharyaschev
Recently, the study of the unique characterisability and learnability of database queries by means of examples has been extended to ontology-mediated queries.
no code implementations • 2 May 2023 • Marie Fortin, Boris Konev, Vladislav Ryzhikov, Yury Savateev, Frank Wolter, Michael Zakharyaschev
In reverse engineering of database queries, we aim to construct a query from a given set of answers and non-answers; it can then be used to explore the data further or as an explanation of the answers and non-answers.
no code implementations • 12 Jul 2021 • Anneke Haga, Carsten Lutz, Leif Sabellek, Frank Wolter
(Almost) all of them reduce the data complexity from coNP-complete to PTime, in some cases even to fixed-parameter tractable and to linear time.
no code implementations • 19 Nov 2020 • Meghyn Bienvenu, Peter Hansen, Carsten Lutz, Frank Wolter
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.
no code implementations • 22 Oct 2020 • Cristina Feier, Carsten Lutz, Frank Wolter
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).
no code implementations • 6 Jul 2020 • Jean Christoph Jung, Carsten Lutz, Hadrien Pulcini, Frank Wolter
We study the separation of positive and negative data examples in terms of description logic (DL) concepts and formulas of decidable FO fragments, in the presence of an ontology.
no code implementations • 3 Jul 2020 • Jean Christoph Jung, Carsten Lutz, Hadrien Pulcini, Frank Wolter
Finding a logical formula that separates positive and negative examples given in the form of labeled data items is fundamental in applications such as concept learning, reverse engineering of database queries, generating referring expressions, and entity comparison in knowledge graphs.
no code implementations • 21 Jan 2020 • Anneke Haga, Carsten Lutz, Johannes Marti, Frank Wolter
We study complete approximations of an ontology formulated in a non-Horn description logic (DL) such as $\mathcal{ALC}$ in a Horn DL such as~$\mathcal{EL}$.
no code implementations • 31 Jan 2019 • Elena Botoeva, Carsten Lutz, Vladislav Ryzhikov, Frank Wolter, Michael Zakharyaschev
We also consider the problem whether two ALC TBoxes give the same answers to any query over any ABox in a given signature and show that, for CQs, this problem is undecidable, too.
no code implementations • 20 Apr 2018 • Elena Botoeva, Boris Konev, Carsten Lutz, Vladislav Ryzhikov, Frank Wolter, Michael Zakharyaschev
The question whether an ontology can safely be replaced by another, possibly simpler, one is fundamental for many ontology engineering and maintenance tasks.
no code implementations • 18 Apr 2018 • Andre Hernich, Carsten Lutz, Fabio Papacchini, Frank Wolter
an ontology O is considered to be in PTime if all (unions of conjunctive) queries can be evaluated in PTime w. r. t.
no code implementations • 20 Sep 2017 • Boris Konev, Carsten Lutz, Ana Ozaki, Frank Wolter
We study the problem of learning description logic (DL) ontologies in Angluin et al.'s framework of exact learning via queries.
no code implementations • 8 Nov 2016 • Carsten Lutz, Frank Wolter
For the latter DL, we additionally show that it is undecidable whether a given ontology admits PTime query evaluation.
no code implementations • 14 Apr 2016 • Elena Botoeva, Carsten Lutz, Vladislav Ryzhikov, Frank Wolter, Michael Zakharyaschev
We also consider the problem whether two ALC TBoxes give the same answers to any query in a given vocabulary over all ABoxes, and show that for CQs this problem is undecidable, too, but becomes decidable and 2EXPTIME-complete in Horn-ALC, and even EXPTIME-complete in Horn-ALC when restricted to (unions of) rooted CQs.
Logic in Computer Science
no code implementations • 23 Jan 2014 • Boris Konev, Michel Ludwig, Dirk Walther, Frank Wolter
In all three cases, we present polynomial-time algorithms that decide whether two terminologies give the same answers to queries over a given vocabulary and compute a succinct representation of the difference if it is non- empty.
no code implementations • 15 Jan 2014 • Piero A. Bonatti, Carsten Lutz, Frank Wolter
As fragments of first-order logic, Description logics (DLs) do not provide nonmonotonic features such as defeasible inheritance and default rules.
no code implementations • 18 Apr 2013 • Alessandro Artale, Roman Kontchakov, Frank Wolter, Michael Zakharyaschev
Our aim is to investigate ontology-based data access over temporal data with validity time and ontologies capable of temporal conceptual modelling.
no code implementations • 28 Jan 2013 • Meghyn Bienvenu, Balder ten Cate, Carsten Lutz, Frank Wolter
Ontology-based data access is concerned with querying incomplete data sources in the presence of domain-specific knowledge provided by an ontology.