As Lógicas de Descrição são usadas como base para a linguagem OWL, padrão para representação de ontologias na web. No entanto, conhecimento não é estático e, com tal dinamismo, o estudo de revisão de crenças e sua correta e adequada aplicação tornam-se muito importantes. Neste trabalho, pretendemos desenvolver uma ferramenta para revisão de ontologias como um plug-in para o Protégé, o editor de ontologias mais utilizado atualmente. / Description Logics are the basis for OWL language, which is the standard to represent ontologies on the web. However, knowledge is usually not satic and its dynamics brings the importance of belief revision and its correct and proper application. In this work, we intend to develop a tool for revising ontologies as a plug-in for Protégé, the most used ontology editor nowadays.

Although educational content in electronic form is increasing dramatically, its usage in an educational environment is poor, mainly due to the fact that there is too much of (unreliable) redundant, and not relevant information. Finding appropriate answers is a rather difficult task being reliant on the user filtering of the pertinent information from the noise. Turning knowledge bases like the online tele-TASK archive into useful educational resources requires identifying correct, reliable, and "machine-understandable" information, as well as developing simple but efficient search tools with the ability to reason over this information. Our vision is to create an E-Librarian Service, which is able to retrieve multimedia resources from a knowledge base in a more efficient way than by browsing through an index, or by using a simple keyword search. In our E-Librarian Service, the user can enter his question in a very simple and human way; in natural language (NL). Our premise is that more pertinent results would be retrieved if the search engine understood the sense of the user's query. The returned results are then logical consequences of an inference rather than of keyword matchings. Our E-Librarian Service does not return the answer to the user's question, but it retrieves the most pertinent document(s), in which the user finds the answer to his/her question. Among all the documents that have some common information with the user query, our E-Librarian Service identifies the most pertinent match(es), keeping in mind that the user expects an exhaustive answer while preferring a concise answer with only little or no information overhead. Also, our E-Librarian Service always proposes a solution to the user, even if the system concludes that there is no exhaustive answer. Our E-Librarian Service was implemented prototypically in three different educational tools. A first prototype is CHESt (Computer History Expert System); it has a knowledge base with 300 multimedia clips that cover the main events in computer history. A second prototype is MatES (Mathematics Expert System); it has a knowledge base with 115 clips that cover the topic of fractions in mathematics for secondary school w.r.t. the official school programme. All clips were recorded mainly by pupils. The third and most advanced prototype is the "Lecture Butler's E-Librarain Service"; it has a Web service interface to respect a service oriented architecture (SOA), and was developed in the context of the Web-University project at the Hasso-Plattner-Institute (HPI). Two major experiments in an educational environment - at the Lycée Technique Esch/Alzette in Luxembourg - were made to test the pertinence and reliability of our E-Librarian Service as a complement to traditional courses. The first experiment (in 2005) was made with CHESt in different classes, and covered a single lesson. The second experiment (in 2006) covered a period of 6 weeks of intensive use of MatES in one class. There was no classical mathematics lesson where the teacher gave explanations, but the students had to learn in an autonomous and exploratory way. They had to ask questions to the E-Librarian Service just the way they would if there was a human teacher. / Obwohl sich die Verfügbarkeit von pädagogischen Inhalten in elektronischer Form stetig erhöht, ist deren Nutzen in einem schulischen Umfeld recht gering. Die Hauptursache dessen ist, dass es zu viele unzuverlässige, redundante und nicht relevante Informationen gibt. Das Finden von passenden Lernobjekten ist eine schwierige Aufgabe, die vom benutzerbasierten Filtern der passenden Informationen abhängig ist. Damit Wissensbanken wie das online Tele-TASK Archiv zu nützlichen, pädagogischen Ressourcen werden, müssen Lernobjekte korrekt, zuverlässig und in maschinenverständlicher Form identifiziert werden, sowie effiziente Suchwerkzeuge entwickelt werden. Unser Ziel ist es, einen E-Bibliothekar-Dienst zu schaffen, der multimediale Ressourcen in einer Wissensbank auf effizientere Art und Weise findet als mittels Navigieren durch ein Inhaltsverzeichnis oder mithilfe einer einfachen Stichwortsuche. Unsere Prämisse ist, dass passendere Ergebnisse gefunden werden könnten, wenn die semantische Suchmaschine den Sinn der Benutzeranfrage verstehen würde. In diesem Fall wären die gelieferten Antworten logische Konsequenzen einer Inferenz und nicht die einer Schlüsselwortsuche. Tests haben gezeigt, dass unser E-Bibliothekar-Dienst unter allen Dokumenten in einer gegebenen Wissensbank diejenigen findet, die semantisch am besten zur Anfrage des Benutzers passen. Dabei gilt, dass der Benutzer eine vollständige und präzise Antwort erwartet, die keine oder nur wenige Zusatzinformationen enthält. Außerdem ist unser System in der Lage, dem Benutzer die Qualität und Pertinenz der gelieferten Antworten zu quantifizieren und zu veranschaulichen. Schlussendlich liefert unser E-Bibliothekar-Dienst dem Benutzer immer eine Antwort, selbst wenn das System feststellt, dass es keine vollständige Antwort auf die Frage gibt. Unser E-Bibliothekar-Dienst ermöglicht es dem Benutzer, seine Fragen in einer sehr einfachen und menschlichen Art und Weise auszudrücken, nämlich in natürlicher Sprache. Linguistische Informationen und ein gegebener Kontext in Form einer Ontologie werden für die semantische Übersetzung der Benutzereingabe in eine logische Form benutzt. Unser E-Bibliothekar-Dienst wurde prototypisch in drei unterschiedliche pädagogische Werkzeuge umgesetzt. In zwei Experimenten wurde in einem pädagogischen Umfeld die Angemessenheit und die Zuverlässigkeit dieser Werkzeuge als Komplement zum klassischen Unterricht geprüft. Die Hauptergebnisse sind folgende: Erstens wurde festgestellt, dass Schüler generell akzeptieren, ganze Fragen einzugeben - anstelle von Stichwörtern - wenn dies ihnen hilft, bessere Suchresultate zu erhalten. Zweitens, das wichtigste Resultat aus den Experimenten ist die Erkenntnis, dass Schuleresultate verbessert werden können, wenn Schüler unseren E-Bibliothekar-Dienst verwenden. Wir haben eine generelle Verbesserung von 5% der Schulresultate gemessen. 50% der Schüler haben ihre Schulnoten verbessert, 41% von ihnen sogar maßgeblich. Einer der Hauptgründe für diese positiven Resultate ist, dass die Schüler motivierter waren und folglich bereit waren, mehr Einsatz und Fleiß in das Lernen und in das Erwerben von neuem Wissen zu investieren.

Beschreibungslogiken (Description logics, DLs) sind eine Klasse von Wissensrepraesentationsformalismen mit wohldefinierter, logik-basierter Semantik und entscheidbaren Schlussfolgerungsproblemen, wie z.B. dem Erfuellbarkeitsproblem. Zwei wichtige Entscheidungsverfahren fuer das Erfuellbarkeitsproblem von DL-Ausdruecken sind Tableau- und Automaten-basierte Algorithmen. Diese haben aufgrund ihrer unterschiedlichen Arbeitsweise komplementaere Eigenschaften: Tableau-Algorithmen eignen sich fuer Implementierungen und fuer den Nachweis von PSPACE- und NEXPTIME-Resultaten, waehrend Automaten sich besonders fuer EXPTIME-Resultate anbieten. Zudem ermoeglichen sie eine vom Standpunkt der Theorie aus elegantere Handhabung von unendlichen Strukturen, eignen sich aber wesentlich schlechter fuer eine Implementierung. Ziel der Dissertation ist es, die Gruende fuer diese Unterschiede zu analysieren und Moeglichkeiten aufzuzeigen, wie Eigenschaften von einem Ansatz auf den anderen uebertragen werden koennen, um so die positiven Eigenschaften von beiden Ansaetzen miteinander zu verbinden. Unter Anderem werden Methoden entwickelt, mit Hilfe von Automaten PSPACE-Resultate zu zeigen, und von einem Tableau-Algorithmus automatisch ein EXPTIME-Resultat abzuleiten. / Description Logics (DLs) are a family of knowledge representation languages with well-defined logic-based semantics and decidable inference problems, e.g. satisfiability. Two of the most widely used decision procedures for the satisfiability problem are tableau- and automata-based algorithms. Due to their different operation, these two classes have complementary properties: tableau algorithms are well-suited for implementation and for showing PSPACE and NEXPTIME complexity results, whereas automata algorithms are particularly useful for showing EXPTIME results. Additionally, they allow for an elegant handling of infinite structures, but they are not suited for implementation. The aim of this thesis is to analyse the reasons for these differences and to find ways of transferring properties between the two approaches in order to reconcile the positive properties of both. For this purpose, we develop methods that enable us to show PSPACE results with the help of automata and to automatically derive an EXPTIME result from a tableau algorithm.

Facing the growing amount of information in today's society, the task of specifying human knowledge in a way that can be unambiguously processed by computers becomes more and more important. Two acknowledged fields in this evolving scientific area of Knowledge Representation are Description Logics (DL) and Formal Concept Analysis (FCA). While DL concentrates on characterizing domains via logical statements and inferring knowledge from these characterizations, FCA builds conceptual hierarchies on the basis of present data. This work introduces Relational Exploration, a method for acquiring complete relational knowledge about a domain of interest by successively consulting a domain expert without ever asking redundant questions. This is achieved by combining DL and FCA: DL formalisms are used for defining FCA attributes while FCA exploration techniques are deployed to obtain or refine DL knowledge specifications.

Description Logics (DLs) are a class of knowledge representation formalisms that can represent terminological and assertional knowledge using a well-defined semantics. Often, knowledge engineers are experts in their own fields, but not in logics, and require assistance in the process of ontology design. This thesis presents three methods that can extract terminological knowledge from existing data and thereby assist in the design process. They are based on similar formalisms from Formal Concept Analysis (FCA), in particular the Next-Closure Algorithm and Attribute-Exploration. The first of the three methods computes terminological knowledge from the data, without any expert interaction. The two other methods use expert interaction where a human expert can confirm each terminological axiom or refute it by providing a counterexample. These two methods differ only in the way counterexamples are provided.

A area de revisão de crenças estuda como agentes racionais mudam suas crencas ao receberem novas informações. O marco da area de revisão de crenças foi a publicacão do trabalho de Alchourron, Gardenfors e Makinson. Nesse trabalho conhecido como paradigma AGM foram denidos criterios de racionalidade para tipos de mudanca de crencas. Desde então, a área de revisão de crenças foi influenciada por diversas disciplinas como filosoa, computacão e direito. Paralelamente ao desenvolvimento da area de revisão de crenças, os últimos 20 anos foram marcados por um grande avanço no estudo das logicas de descrição. Tal avanço, impulsionado pelo desenvolvimento da web-semântica, levou a adoção de linguagens inspiradas em logicas de descrição (OWL) como padrão para se representar ontologias na web. Nessa tese tratamos do problema de aplicar a teoria da revisão de crenças a lógicas não clássicas e especialmente a logicas de descric~ao. Trabalhos recentes mostraram que o paradigma AGM e incompatvel com diversas logicas de descricão. Estendemos esses resultados mostrando outras lógicas que não são compatíveis com o paradigma AGM. Propomos formas de aplicar a teoria de revisão tanto em bases quanto em conjuntos de crencas a essas logicas. Alem disso, usamos algoritmos conhecidos da área de depuração de ontologias para implementar operações em bases de crenças. / Belief revision theory studies how rational agents change their beliefs after receiving new information. The most in uential work in this area is the paper of Alchourron, Gardenfors and Makinson. In this work, known as AGM paradigm rationality criteria for belief change were dened. Since then, the eld has been in uenced by many areas like philosophy, computer science and law. Parallel to the development of belief revision eld, in the past 20 years there was a huge grow in the study of description logics. The climax of this development was the adoption of OWL (a language based on description logics) as the standard language to represent ontologies on the web. In this work we deal with the problem of applying belief revision in to non-classical logics, specially description logics. Recent works showed that the AGM paradigm is not compliant with several description logics. We have extended this work by showing that other logics are not compliant with AGM paradigm. Furthermore, we propose alternative ways to apply belief revision techniques to these logics. Finally, we show that well known algorithms from the area of ontology debugging eld can be used to implement the proposed constructions.

Description Logics (DLs) are increasingly successful knowledge representation formalisms, useful for any application requiring implicit derivation of knowledge from explicitly known facts. A prominent example domain benefiting from these formalisms since the 1990s is the biomedical field. This area contributes an intangible amount of facts and relations between low- and high-level concepts such as the constitution of cells or interactions between studied illnesses, their symptoms and remedies. DLs are well-suited for handling large formal knowledge repositories and computing inferable coherences throughout such data, relying on their well-founded first-order semantics. In particular, DLs of reduced expressivity have proven a tremendous worth for handling large ontologies due to their computational tractability. In spite of these assets and prevailing influence, classical DLs are not well-suited to adequately model some of the most intuitive forms of reasoning. The capability for abductive reasoning is imperative for any field subjected to incomplete knowledge and the motivation to complete it with typical expectations. When such default expectations receive contradicting evidence, an abductive formalism is able to retract previously drawn, conflicting conclusions. Common examples often include human reasoning or a default characterisation of properties in biology, such as the normal arrangement of organs in the human body. Treatment of such defeasible knowledge must be aware of exceptional cases - such as a human suffering from the congenital condition situs inversus - and therefore accommodate for the ability to retract defeasible conclusions in a non-monotonic fashion. Specifically tailored non-monotonic semantics have been continuously investigated for DLs in the past 30 years. A particularly promising approach, is rooted in the research by Kraus, Lehmann and Magidor for preferential (propositional) logics and Rational Closure (RC). The biggest advantages of RC are its well-behaviour in terms of formal inference postulates and the efficient computation of defeasible entailments, by relying on a tractable reduction to classical reasoning in the underlying formalism. A major contribution of this work is a reorganisation of the core of this reasoning method, into an abstract framework formalisation. This framework is then easily instantiated to provide the reduction method for RC in DLs as well as more advanced closure operators, such as Relevant or Lexicographic Closure. In spite of their practical aptitude, we discovered that all reduction approaches fail to provide any defeasible conclusions for elements that only occur in the relational neighbourhood of the inspected elements. More explicitly, a distinguishing advantage of DLs over propositional logic is the capability to model binary relations and describe aspects of a related concept in terms of existential and universal quantification. Previous approaches to RC (and more advanced closures) are not able to derive typical behaviour for the concepts that occur within such quantification. The main contribution of this work is to introduce stronger semantics for the lightweight DL EL_bot with the capability to infer the expected entailments, while maintaining a close relation to the reduction method. We achieve this by introducing a new kind of first-order interpretation that allocates defeasible information on its elements directly. This allows to compare the level of typicality of such interpretations in terms of defeasible information satisfied at elements in the relational neighbourhood. A typicality preference relation then provides the means to single out those sets of models with maximal typicality. Based on this notion, we introduce two types of nested rational semantics, a sceptical and a selective variant, each capable of deriving the missing entailments under RC for arbitrarily nested quantified concepts. As a proof of versatility for our new semantics, we also show that the stronger Relevant Closure, can be imbued with typical information in the successors of binary relations. An extensive investigation into the computational complexity of our new semantics shows that the sceptical nested variant comes at considerable additional effort, while the selective semantics reside in the complexity of classical reasoning in the underlying DL, which remains tractable in our case.

Un nombre croissant d'ontologies de grandes tailles ont été développées et mises à disposition dans des référentiels tels que le NCBO Bioportal. L'accès aux connaissances les plus pertinentes contenues dans les grandes ontologies a été identifié comme un défi important. À cette fin, nous proposons dans cette thèse trois notions différentes : modules d’ontologie minimale (sous-ontologies conservant toutes les implications sur un vocabulaire donné), meilleurs extraits ontologiques (certains petits nombres d’axiomes qui capturent le mieux les connaissances sur le vocabulaire permettant un degré de perte sémantique) et un module de projection (sous-ontologies d'une ontologie cible qui impliquent la subsomption, les requêtes d'instance et les requêtes conjonctives issues d'une ontologie de référence). Pour calculer le module minimal et le meilleur extrait, nous introduisons la notion de justification de subsomption en tant qu'extension de la justification (ensemble minimal d'axiomes nécessaires pour conserver une conséquence logique) pour capturer la connaissance de subsomption entre un terme et tous les autres termes du vocabulaire. De même, nous introduisons la notion de justifications de projection qui impliquent une conséquence pour trois requêtes différentes afin de calculer le module de projection. Enfin, nous évaluons nos approches en appliquant une implémentation prototype sur de grandes ontologies. / An increasing number of ontologies of large sizes have been developed and made available in repositories such as the NCBO Bioportal. Ensuring access to the most relevant knowledge contained in large ontologies has been identified as an important challenge. To this end, in this thesis, we propose three different notions: minimal ontology modules (sub-ontologies that preserve all entailments over a given vocabulary), best ontology excerpts (certain, small number of axioms that best capture the knowledge regarding the vocabulary by allowing for a degree of semantic loss) and projection module (sub-ontologies of a target ontology that entail subsumption, instance and conjunctive queries that follow from a reference ontology). For computing minimal module and best excerpt, we introduce the notion of subsumption justification as an extension of justification (a minimal set of axioms needed to preserve a logical consequence) to capture the subsumption knowledge between a term and all other terms in the vocabulary. Similarly, we introduce the notion of projection justifications that entail consequence for three different queries in order to computing projection module. Finally, we evaluate our approaches by applying a prototype implementation on large ontologies.

Dans le contexte du Web sémantique, les ontologies OWL représentent des connaissances explicites sur un domaine sur la base d'une conceptualisation des domaines d'intérêt, tandis que la connaissance correspondante sur les individus est donnée par les données RDF qui s'y réfèrent. Dans cette thèse, sur la base d'idées dérivées de l'ILP, nous visons à découvrir des motifs de connaissance cachés sous la forme de règles d'association multi-relationnelles en exploitant l'évidence provenant des assertions contenues dans les bases de connaissances ontologiques. Plus précisément, les règles découvertes sont codées en SWRL pour être facilement intégrées dans l'ontologie, enrichissant ainsi son pouvoir expressif et augmentant les connaissances sur les individus (assertions) qui en peuvent être dérivées. Deux algorithmes appliqués aux bases de connaissances ontologiques peuplées sont proposés pour trouver des règles à forte puissance inductive : (i) un algorithme de génération et test par niveaux et (ii) un algorithme évolutif. Nous avons effectué des expériences sur des ontologies accessibles au public, validant les performances de notre approche et les comparant avec les principaux systèmes de l'état de l'art. En outre, nous effectuons une comparaison des métriques asymétriques les plus répandues, proposées à l'origine pour la notation de règles d'association, comme éléments constitutifs d'une fonction de fitness pour l'algorithme évolutif afin de sélectionner les métriques qui conviennent à la sémantique des données. Afin d'améliorer les performances du système, nous avons proposé de construire un algorithme pour calculer les métriques au lieu d'interroger viaSPARQL-DL. / In the Semantic Web context, OWL ontologies represent explicit domain knowledge based on the conceptualization of domains of interest while the corresponding assertional knowledge is given by RDF data referring to them. In this thesis, based on ideas derived from ILP, we aim at discovering hidden knowledge patterns in the form of multi-relational association rules by exploiting the evidence coming from the assertional data of ontological knowledge bases. Specifically, discovered rules are coded in SWRL to be easily integrated within the ontology, thus enriching its expressive power and augmenting the assertional knowledge that can be derived. Two algorithms applied to populated ontological knowledge bases are proposed for finding rules with a high inductive power: (i) level-wise generated-and-test algorithm and (ii) evolutionary algorithm. We performed experiments on publicly available ontologies, validating the performances of our approach and comparing them with the main state-of-the-art systems. In addition, we carry out a comparison of popular asymmetric metrics, originally proposed for scoring association rules, as building blocks for a fitness function for evolutionary algorithm to select metrics that are suitable with data semantics. In order to improve the system performance, we proposed to build an algorithm to compute metrics instead of querying via SPARQL-DL.

Unification in description logics (DLs) has been introduced as a novel inference service that can be used to detect redundancies in ontologies, by finding different concepts that may potentially stand for the same intuitive notion. Together with the special case of matching, they were first investigated in detail for the DL FL0, where these problems can be reduced to solving certain language equations. In this thesis, we extend this service in two directions. In order to increase the recall of this method for finding redundancies, we introduce and investigate the notion of approximate unification, which basically finds pairs of concepts that “almost” unify, in order to account for potential small modelling errors. The meaning of “almost” is formalized using distance measures between concepts. We show that approximate unification in FL0 can be reduced to approximately solving language equations, and devise algorithms for solving the latter problem for particular distance measures. Furthermore, we make a first step towards integrating background knowledge, formulated in so-called TBoxes, by investigating the special case of matching in the presence of TBoxes of different forms. We acquire a tight complexity bound for the general case, while we prove that the problem becomes easier in a restricted setting. To achieve these bounds, we take advantage of an equivalence characterization of FL0 concepts that is based on formal languages. In addition, we incorporate TBoxes in computing concept distances. Even though our results on the approximate setting cannot deal with TBoxes yet, we prepare the framework that future research can build on. Before we journey to the technical details of the above investigations, we showcase our program in the simpler setting of the equational theory ACUI, where we are able to also combine the two extensions. In the course of studying the above problems, we make heavy use of automata theory, where we also derive novel results that could be of independent interest.