A Tree Logic with Graded Paths and Nominals

Regular tree grammars and regular path expressions constitute core constructs widely used in programming languages and type systems. Nevertheless, there has been little research so far on reasoning frameworks for path expressions where node cardinality constraints occur along a path in a tree. We present a logic capable of expressing deep counting along paths which may include arbitrary recursive forward and backward navigation. The counting extensions can be seen as a generalization of graded modalities that count immediate successor nodes. While the combination of graded modalities, nominals, and inverse modalities yields undecidable logics over graphs, we show that these features can be combined in a tree logic decidable in exponential time

Efficient Iterative Programs with Distributed Data Collections

Big data programming frameworks have become increasingly important for the development of applications for which performance and scalability are critical. In those complex frameworks, optimizing code by hand is hard and time-consuming, making automated optimization particularly necessary. In order to automate optimization, a prerequisite is to find suitable abstractions to represent programs; for instance, algebras based on monads or monoids to represent distributed data collections. Currently, however, such algebras do not represent recursive programs in a way which allows for analyzing or rewriting them. In this paper, we extend a monoid algebra with a fixpoint operator for representing recursion as a first class citizen and show how it enables new optimizations. Experiments with the Spark platform illustrate performance gains brought by these systematic optimizations.Comment: 36 page

Automated reasoning on trees with cardinality constraints

Les contraintes arithmétiques sont largement utilisées dans les langages formels comme les expressions, les grammaires d'arbres et les chemins réguliers. Ces contraintes sont utilisées dans les modéles de contenu des types (XML Schemas) pour imposer des bornes sur le nombre d'occurrences de nœuds. Dans les langages de requêtes (XPath, XQuery), ces contraintes permettent de sélectionner les nœuds ayant un nombre limité de nœuds accessibles par une expression de chemin donnée. Les types et chemins étendus avec les contraintes de comptage constituent le prolongement naturel de leurs homologues sans comptage déjà considérés comme des constructions fondamentales dans les langages de programmation et les systèmes de type pour XML. Un des défis majeurs en programmation XML consiste à développer des techniques automatisées permettant d'assurer statiquement un typage correct et des optimisations de programmes manipulant les données XML. À cette fin, il est nécessaire de résoudre certaines tâches de raisonnement qui impliquent des constructions telles que les types et les expressions XPath avec des contraintes de comptage. Dans un futur proche, les compilateurs de programmes XML devront résoudre des problèmes de base tels que le sous-typage afin de s'assurer au moment de la compilation qu'un programme ne pourra jamais générer de documents non valides à l'exécution. Cette thèse étudie les logiques capables d'exprimer des contraintes de comptage sur les structures d'arbres. Il a été montré récemment que le mu-calcul sur les graphes, lorsqu'il est étendu à des contraintes de comptage portant exclusivement sur les nœuds successeurs immédiats est indécidable. Dans cette thèse, nous montrons que, sur les arbres finis, la logique avec contraintes de comptage est décidable en temps exponentiel. En outre, cette logique fournit des opérateurs de comptage selon des chemins plus généraux. En effet, la logique peut exprimer des contraintes numériques sur le nombre de nœuds descendants ou même ascendants. Nous présentons également des traductions linéaires d'expressions XPath et de types XML comportant des contraintes de comptage dans la logique.Arithmetical constraints are widely used in formal languages like regular expressions, tree grammars and paths. In XML they are used to impose bounds on the number of occurrences described by content models of schema languages (XML Schema, RelaxNG). In query languages (XPath, XQuery), they allow selecting nodes that have a bounded number of nodes reachable by a given path expression. Counting types and paths are thus natural extensions of their countless counterparts already regarded as the core constructs in XML languages and type systems. One of the biggest challenges in XML is to develop automated techniques for ensuring static-type safety and optimization techniques. To this end, there is a need to solve some basic reasoning tasks that involve constructions such as counting XML schemas and XPath expressions. Every compiler of XML programs will have to routinely solve problems such as type and path type- checking, for ensuring at compile time that invalid documents can never arise as the output of XML processing code. This thesis studies efficient reasoning frameworks able to express counting constraints on tree structures. It was recently shown that the mu-calculus, when extended with counting constraints on immediate successor nodes is undecid able over graphs. Here we show that, when interpreted over nite trees, the logic with counting constraints is decidable in single exponential time. Furthermore, this logic allows more general counting operators. For example, the logic can pose numerical constraints on number of ancestors or descendants. We also present linear translations of counting XPath expressions and XML schemas into the logic.SAVOIE-SCD - Bib.électronique (730659901) / SudocGRENOBLE1/INP-Bib.électronique (384210012) / SudocGRENOBLE2/3-Bib.électronique (384219901) / SudocSudocFranceF

Presentation Services in MADEUS: an Authoring Environment for Multimedia Documents

: The recent advances in multimedia systems, together with the advent of high speed networks, paved the way to a new generation of applications. In particular, authoring environments have found in multimedia the means of increasing the richness of information contained in electronic documents. One of the goals of the Opera team is designing an authoring environment for multimedia documents, called MADEUS, which meets the following requirements: a high level of expressiveness for both spatial and temporal dimensions; a user-friendly interface allowing highly interactive design process, scriptless and structured-based editing and automatic production of spatial and temporal layout; the portability and cross-platform interchange of multimedia documents. To achieve this research goal we first focus on finding a good representation of time for multimedia documents. This representation is required to capture the temporal dimension of media objects like video, audio, etc. and is also used to..

Analyse statique de requête pour le Web sémantique

L'inclusion de requête est un problème bien étudié sur plusieurs décennies de recherche. En règle générale, il est défini comme le problème de déterminer si le résultat d'une requête est inclus dans le résultat d'une autre requête pour tout ensemble de données. Elle a des applications importantes dans l'optimisation des requêtes et la vérification de bases de connaissances. L'objectif principal de cette thèse est de fournir des procédures solides et com- plètes pour déterminer l'inclusion des requêtes SPARQL en vertu d'exprimés en axiomes logiques de description. De plus, nous mettons en œuvre ces procédures à l'appui des résultats théoriques par l'expérimentation. À ce jour, test d'inclusion de requête a été effectuée à l'aide de différentes techniques: homomorphisme de graphes, bases de données canoniques, les tech- niques de la théorie des automates et par une réduction au problème de la va- lidité de la logique. Dans cette thèse, nous utilisons la derniere technique pour tester l'inclusion des requêtes SPARQL utilisant une logique expressive appelée -calcul. Pour ce faire, les graphes RDF sont codés comme des systèmes de transitions, et les requêtes et les axiomes du schéma sont codés comme des formules de -calcul. Ainsi, l'inclusion de requêtes peut être réduit á test de validité de formule logique. L'objectif de cette thèse est d'identifier les divers fragments de SPARQL (et PSPARQL) et les langages de description logique de schéma pour lequelle l'inculsion est décidable. En outre, afin de fournir théoriquement et expériment- alement éprouvées procédures de vérifier l'inclusion de ces fragments décid- ables. Pas durer au moins mais, cette thèse propose un point de repère pour les solveurs d'inclusion. Ce benchmark est utilisé pour tester et comparer l'état actuel des solveurs d'inclusion.Query containment is a well-studied problem spanning over several decades of research. Generally, it is defined as the problem of determining if the result of one query is included in the result of another query for any given dataset. It has major applications in query optimization and knowledge base verification. The main objective of this thesis is to provide sound and complete procedures to determine containment of SPARQL queries under expressive description logic axioms. Further, to support theoretical results by experimentation. To date query containment has been done using different techniques: containment mapping, canonical databases, automata theory techniques and through a reduction to the validity problem in logic. In this thesis, we use the later technique to address containment using an expressive logic called mu-calculus. In doing so, RDF graphs are encoded as transitions systems, and queries and schema axioms are encoded as mu-calculus formulae. Thereby, query containment can be reduced to validity test in the logic. The focus of this thesis is to identify various fragments of SPARQL (and PSPARQL) and description logic schema languages for which containment is decidable. Additionally, to provide theoretically and experimentally proven procedures to check containment of those decidable fragments. Last not but least, this thesis proposes a benchmark for containment solvers. This benchmark is used to test and compare the current state-of-the-art containment solvers.SAVOIE-SCD - Bib.électronique (730659901) / SudocGRENOBLE1/INP-Bib.électronique (384210012) / SudocGRENOBLE2/3-Bib.électronique (384219901) / SudocSudocFranceF

Efficient static analysis of XML paths and types

We present an algorithm to solve XPath decision problems under regular tree type constraints and show its use to statically type-check XPath queries. To this end, we prove the decidability of a logic with converse for finite ordered trees whose time complexity is a simple exponential of the size of a formula. The logic corresponds to the alternation free modal mu-calculus without greatest fixpoint, restricted to finite trees, and where formulas are cycle-free

A semantic framework for multimedia document adaptation

With the proliferation of heterogeneous devices (desktop computers, personal digital assistants, phones), multimedia documents must be played under various constraints (small screens, low bandwidth). Taking these constraints into account with current document models is impossible. Hence, generic source documents must be transformed into documents compatible with the target contexts. Currently, the design of transformations is left to programmers. We propose here a semantic framework, which accounts for multimedia document adaptation in very general terms. A model of a multimedia document is a potential execution of this document and a context defines a particular class of models. The adaptation should then retain the source document models that belong to the class defined by the context if such models exist. Otherwise, the adaptation should produce a document whose models belong to this class and are "close" to those of the source documents. We focus on the temporal dimension of multimedia documents and show how adaptation can take advantage of temporal reasoning techniques. Several metrics are given for assessing the proximity of models.