Logics for Unranked Trees: An Overview

Labeled unranked trees are used as a model of XML documents, and logical languages for them have been studied actively over the past several years. Such logics have different purposes: some are better suited for extracting data, some for expressing navigational properties, and some make it easy to relate complex properties of trees to the existence of tree automata for those properties. Furthermore, logics differ significantly in their model-checking properties, their automata models, and their behavior on ordered and unordered trees. In this paper we present a survey of logics for unranked trees

State-of-the-art on evolution and reactivity

This report starts by, in Chapter 1, outlining aspects of querying and updating resources on the Web and on the Semantic Web, including the development of query and update languages to be carried out within the Rewerse project. From this outline, it becomes clear that several existing research areas and topics are of interest for this work in Rewerse. In the remainder of this report we further present state of the art surveys in a selection of such areas and topics. More precisely: in Chapter 2 we give an overview of logics for reasoning about state change and updates; Chapter 3 is devoted to briefly describing existing update languages for the Web, and also for updating logic programs; in Chapter 4 event-condition-action rules, both in the context of active database systems and in the context of semistructured data, are surveyed; in Chapter 5 we give an overview of some relevant rule-based agents frameworks

State-of-the-art on evolution and reactivity

This report starts by, in Chapter 1, outlining aspects of querying and updating resources on the Web and on the Semantic Web, including the development of query and update languages to be carried out within the Rewerse project. From this outline, it becomes clear that several existing research areas and topics are of interest for this work in Rewerse. In the remainder of this report we further present state of the art surveys in a selection of such areas and topics. More precisely: in Chapter 2 we give an overview of logics for reasoning about state change and updates; Chapter 3 is devoted to briefly describing existing update languages for the Web, and also for updating logic programs; in Chapter 4 event-condition-action rules, both in the context of active database systems and in the context of semistructured data, are surveyed; in Chapter 5 we give an overview of some relevant rule-based agents frameworks

Combining Temporal Logics for Querying XML Documents

Abstract. Close relationships between XML navigation and temporal logics have been discovered recently, in particular between logics LTL and CTL ⋆ and XPath navigation, and between the µ-calculus and navigation based on regular expressions. This opened up the possibility of bringing model-checking techniques into the field of XML, as documents are naturally represented as labeled transition systems. Most known results of this kind, however, are limited to Boolean or unary queries, which are not always sufficient for complex querying tasks. Here we present a technique for combining temporal logics to capture nary XML queries expressible in two yardstick languages: FO and MSO. We show that by adding simple terms to the language, and combining a temporal logic for words together with a temporal logic for unary tree queries, one obtains logics that select arbitrary tuples of elements, and can thus be used as building blocks in complex query languages. We present general results on the expressiveness of such temporal logics, study their model-checking properties, and relate them to some common XML querying tasks.

Bisimulations on data graphs

Bisimulation provides structural conditions to characterize indistinguishability from an external observer between nodes on labeled graphs. It is a fundamental notion used in many areas, such as verification, graph-structured databases, and constraint satisfaction. However, several current applications use graphs where nodes also contain data (the so called “data graphs”), and where observers can test for equality or inequality of data values (e.g., asking the attribute ‘name’ of a node to be different from that of all its neighbors). The present work constitutes a first investigation of “data aware” bisimulations on data graphs. We study the problem of computing such bisimulations, based on the observational indistinguishability for XPath —a language that extends modal logics like PDL with tests for data equality— with and without transitive closure operators. We show that in general the problem is PSPACE-complete, but identify several restrictions that yield better complexity bounds (CO- NP, PTIME) by controlling suitable parameters of the problem, namely the amount of non-locality allowed, and the class of models considered (graphs, DAGs, trees). In particular, this analysis yields a hierarchy of tractable fragments.Fil: Abriola, Sergio Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigación En Ciencias de la Computación. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigación En Ciencias de la Computacion; ArgentinaFil: Barceló, Pablo. Universidad de Chile; ChileFil: Figueira, Diego. Centre National de la Recherche Scientifique; FranciaFil: Figueira, Santiago. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigación En Ciencias de la Computación. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigación En Ciencias de la Computacion; Argentin

Dokumentverifikation mit Temporaler Beschreibungslogik

The thesis proposes a new formal framework for checking the content of web documents along individual reading paths. It is vital for the readability of web documents that their content is consistent and coherent along the possible browsing paths through the document. Manually ensuring the coherence of content along the possibly huge number of different browsing paths in a web document is time-consuming and error-prone. Existing methods for document validation and verification are not sufficiently expressive and efficient. The innovative core idea of this thesis is to combine the temporal logic CTL and description logic ALC for the representation of consistency criteria. The resulting new temporal description logics ALCCTL can - in contrast to existing specification formalisms - compactly represent coherence criteria on documents. Verification of web documents is modelled as a model checking problem of ALCCTL. The decidability and polynomial complexity of the ALCCTL model checking problem is proven and a sound, complete, and optimal model checking algorithm is presented. Case studies on real and realistic web documents demonstrate the performance and adequacy of the proposed methods. Existing methods such as symbolic model checking or XML-based document validation are outperformed in both expressiveness and speed.Die Dissertation stellt ein neues formales Framework für die automatische Prüfung inhaltlich-struktureller Konsistenzkriterien an Web-Dokumente vor. Viele Informationen werden heute in Form von Web-Dokumenten zugänglich gemacht. Komplexe Dokumente wie Lerndokumente oder technische Dokumentationen müssen dabei vielfältige Qualitätskriterien erfüllen. Der Informationsgehalt des Dokuments muss aktuell, vollständig und in sich stimmig sein. Die Präsentationsstruktur muss unterschiedlichen Zielgruppen mit unterschiedlichen Informationsbedürfnissen genügen. Die Sicherstellung grundlegender Konsistenzeigenschaften von Dokumenten ist angesichts der Vielzahl der Anforderungen und Nutzungskontexte eines elektronischen Dokuments nicht trivial. In dieser Arbeit werden aus der Hard-/Softwareverifikation bekannte Model-Checking-Verfahren mit Methoden zur Repräsentation von Ontologien kombiniert, um sowohl die Struktur des Dokuments als auch inhaltliche Zusammenhänge bei der Prüfung von Konsistenzkriterien berücksichtigen zu können. Als Spezifikationssprache für Konsistenzkriterien wird die neue temporale Beschreibungslogik ALCCTL vorgeschlagen. Grundlegende Eigenschaften wie Entscheidbarkeit, Ausdruckskraft und Komplexität werden untersucht. Die Adäquatheit und Praxistauglichkeit des Ansatzes werden in Fallstudien mit eLearning-Dokumenten evaluiert. Die Ergebnisse übertreffen bekannte Ansätze wie symbolisches Model-Checking oder Methoden zur Validierung von XML-Dokumenten in Performanz, Ausdruckskraft hinsichtlich der prüfbaren Kriterien und Flexibilität hinsichtlich des Dokumenttyps und -formats

Spécification, validation et satisfiabilité [i.e. satisfaisabilité] de contraintes hybrides par réduction à la logique temporelle

Depuis quelques années, de nombreux champs de l'informatique ont été transformés par l'introduction d'une nouvelle vision de la conception et de l'utilisation d'un système, appelée approche déclarative. Contrairement à l'approche dite impérative, qui consiste à décrire au moyen d'un langage formelles opérations à effectuer pour obtenir un résultat, l'approche déclarative suggère plutôt de décrire le résultat désiré, sans spécifier comment ce «but» doit être atteint. L'approche déclarative peut être vue comme le prolongement d'une tendance ayant cours depuis les débuts de l'informatique et visant à résoudre des problèmes en manipulant des concepts d'un niveau d'abstraction toujours plus élevé. Le passage à un paradigme déclaratif pose cependant certains problèmes: les outils actuels sont peu appropriés à une utilisation déclarative. On identifie trois questions fondamentales qui doivent être résolues pour souscrire à ce nouveau paradigme: l'expression de contraintes dans un langage formel, la validation de ces contraintes sur une structure, et enfin la construction d'une structure satisfaisant une contrainte donnée. Cette thèse étudie ces trois problèmes selon l'angle de la logique mathématique. On verra qu'en utilisant une logique comme fondement formel d'un langage de « buts », les questions de validation et de construction d'une structure se transposent en deux questions mathématiques, le model checking et la satisfiabilité, qui sont fondamentales et largement étudiées. En utilisant comme motivation deux contextes concrets, la gestion de réseaux et les architectures orientées services, le travail montrera qu'il est possible d'utiliser la logique mathématique pour décrire, vérifier et construire des configurations de réseaux ou des compositions de services web. L'aboutissement de la recherche consiste en le développement de la logique CTLFO+, permettant d'exprimer des contraintes sur les données, sur la séquences des opérations\ud d'un système, ainsi que des contraintes dites «hybrides». Une réduction de CTL-FO+ à la logique temporelle CTL permet de réutiliser de manière efficace des outils de vérification existants. ______________________________________________________________________________ MOTS-CLÉS DE L’AUTEUR : Méthodes formelles, Services web, Réseaux