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Related papers: Reasoning about Explanations for Negative Query An…

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We propose a novel foundational framework for why-not explanations, that is, explanations for why a tuple is missing from a query result. Our why-not explanations leverage concepts from an ontology to provide high-level and meaningful…

Databases · Computer Science 2015-04-01 Balder ten Cate , Cristina Civili , Evgeny Sherkhonov , Wang-Chiew Tan

Reasoning with minimal models has always been at the core of many knowledge representation techniques, but we still have only a limited understanding of this problem in Description Logics (DLs). Minimization of some selected predicates,…

Artificial Intelligence · Computer Science 2025-08-08 Federica Di Stefano , Quentin Manière , Magdalena Ortiz , Mantas Šimkus

Representation of defeasible information is of interest in description logics, as it is related to the need of accommodating exceptional instances in knowledge bases. In this direction, in our previous works we presented a datalog…

Logic in Computer Science · Computer Science 2019-05-23 Loris Bozzato , Thomas Eiter , Luciano Serafini

The growing range of applications of Machine Learning (ML) in a multitude of settings motivates the ability of computing small explanations for predictions made. Small explanations are generally accepted as easier for human decision makers…

Artificial Intelligence · Computer Science 2018-11-28 Alexey Ignatiev , Nina Narodytska , Joao Marques-Silva

Reasoning on defeasible knowledge is a topic of interest in the area of description logics, as it is related to the need of representing exceptional instances in knowledge bases. In this direction, in our previous works we presented a…

Artificial Intelligence · Computer Science 2021-08-10 Loris Bozzato , Thomas Eiter , Luciano Serafini

This paper investigates the feasibility of automated reasoning over temporal DL-Lite (TDL-Lite) knowledge bases (KBs). We test the usage of off-the-shelf LTL reasoners to check satisfiability of TDL-Lite KBs. In particular, we test the…

Artificial Intelligence · Computer Science 2020-08-18 Sabiha Tahrat , German Braun , Alessandro Artale , Marco Gario , Ana Ozaki

Recently, the description logic LE-ALC was introduced for reasoning in the semantic environment of the enriched formal contexts, and a tableaux algorithm was developed for checking the consistency of ABoxes in this logic. In this paper, we…

Logic in Computer Science · Computer Science 2025-06-09 Krishna Manoorkar , Ruoding Wang

The recently introduced series of description logics under the common moniker DL-Lite has attracted attention of the description logic and semantic web communities due to the low computational complexity of inference, on the one hand, and…

Logic in Computer Science · Computer Science 2014-01-16 Alessandro Artale , Diego Calvanese , Roman Kontchakov , Michael Zakharyaschev

The aim of this paper is to show how we can handle the Recognising Textual Entailment (RTE) task by using Description Logics (DLs). To do this, we propose a representation of natural language semantics in DLs inspired by existing…

Computation and Language · Computer Science 2007-10-17 Paul Bedaride

Concept Induction refers to the problem of creating complex Description Logic class descriptions (i.e., TBox axioms) from instance examples (i.e., ABox data). In this paper we look particularly at the case where both a set of positive and a…

Artificial Intelligence · Computer Science 2018-12-11 Md Kamruzzaman Sarker , Pascal Hitzler

Abduction in description logics finds extensions of a knowledge base to make it entail an observation. As such, it can be used to explain why the observation does not follow, to repair incomplete knowledge bases, and to provide possible…

Artificial Intelligence · Computer Science 2022-05-23 Fajar Haifani , Patrick Koopmann , Sophie Tourret , Christoph Weidenbach

DL-Lite is an important family of description logics. Recently, there is an increasing interest in handling inconsistency in DL-Lite as the constraint imposed by a TBox can be easily violated by assertions in ABox in DL-Lite. In this paper,…

Artificial Intelligence · Computer Science 2015-06-04 Xiaowang Zhang , Kewen Wang , Zhe Wang , Yue Ma , Guilin Qi

Many ontologies, i.e., Description Logic (DL) knowledge bases, have been developed to provide rich knowledge about various domains. An ontology consists of an ABox, i.e., assertion axioms between two entities or between a concept and an…

Artificial Intelligence · Computer Science 2022-08-17 Zhenwei Tang , Shichao Pei , Xi Peng , Fuzhen Zhuang , Xiangliang Zhang , Robert Hoehndorf

While there has been a great deal of work on the development of reasoning algorithms for expressive description logics, in most cases only Tbox reasoning is considered. In this paper we present an algorithm for combined Tbox and Abox…

Logic in Computer Science · Computer Science 2007-05-23 Ian Horrock , Ulrike Sattler , Stephan Tobies

We introduce the notion of contrastive ABox explanations to answer questions of the type "Why is a an instance of C, but b is not?". While there are various approaches for explaining positive entailments (why is C(a) entailed by the…

Artificial Intelligence · Computer Science 2025-11-17 Patrick Koopmann , Yasir Mahmood , Axel-Cyrille Ngonga Ngomo , Balram Tiwari

Description logics (DL) are a family of formal languages for representing and reasoning about structured knowledge in terms of concepts and their relationships. A central reasoning problem in DL is concept subsumption. Although this problem…

Logic in Computer Science · Computer Science 2026-05-14 Michał Henne , Barbara Morawska , Paweł Parys

A correspondence between database tuples as causes for query answers in databases and tuple-based repairs of inconsistent databases with respect to denial constraints has already been established. In this work, answer-set programs that…

Databases · Computer Science 2020-09-30 Leopoldo Bertossi

There has been a growing interest in explaining entailments over description logic (DL) knowledge bases. The existing explanation formalisms focus on justifications to explain true axioms, and abductive reasoning to explain missing axioms…

Artificial Intelligence · Computer Science 2026-05-05 Yasir Mahmood , Arnab Sharma , Axel-Cyrille Ngonga Ngomo , Balram Tiwari

Abduction is the task of computing a sufficient extension of a knowledge base (KB) that entails a conclusion not entailed by the original KB. It serves to compute explanations, or hypotheses, for such missing entailments. While this task…

Logic in Computer Science · Computer Science 2025-07-30 Anselm Haak , Patrick Koopmann , Yasir Mahmood , Anni-Yasmin Turhan

Logic-based approaches to AI have the advantage that their behavior can in principle be explained with the help of proofs of the computed consequences. For ontologies based on Description Logic (DL), we have put this advantage into practice…

Logic in Computer Science · Computer Science 2023-08-08 Christian Alrabbaa , Franz Baader , Stefan Borgwardt , Patrick Koopmann , Alisa Kovtunova
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