Este trabalho descreve o formalismo das gramáticas livres de contexto adaptativas com verificação de aparência. Esses dispositivos gramaticais possuem como núcleo uma gramática livre de contexto subjacente e, como mecanismo de auto-modificação, uma ou várias funções adaptativas que determinam quais produções são aplicáveis em cada passo de uma derivação. A verificação de aparência se refere a uma forma especial de aplicar algumas produções, escolhidas pelo projetista da gramática, sem alterar a forma sentencial nessa aplicação. É provado que esse formalismo tem poder de máquina de Turing demonstrando, em forma construtiva, sua equivalência com quatro formalismos gramaticais baseados em gramáticas livres de contexto com mecanismos de controle, que tem esse poder. São desenvolvidos dois analisadorers para linguagens dependentes de contexto a partir de um desses outros quatro formalismos. Um deles, que é baseado em autômatos-pilha, opera em forma ascendente; o outro, baseado em autômatos finitos adaptativos, opera em forma descendente. / This work introduces and describes the formalism of the context-free adaptive grammar with appearance checking. Such gramatical devices have as its kernel a subjacent context-free grammar and, as mechanism of self-modification, one or several adaptive functions which determines the productions able to be applied at each step of a derivation. The appearance checking refers to a special way to apply some productions, choosen by the designer of the grammar, without changing the sentential form in this application. It is proved that this formalism has Turing Machine power, proving, by construction, its equivalence with four grammatical formalisms based on context-free grammars and with control mechanisms, with such power. Two parsers have been developed for context-dependent languages from one of these four formalisms. One of them is based on stack-automata, and operates in a bottom-up fashion.

Este trabalho descreve o formalismo das gramáticas livres de contexto adaptativas com verificação de aparência. Esses dispositivos gramaticais possuem como núcleo uma gramática livre de contexto subjacente e, como mecanismo de auto-modificação, uma ou várias funções adaptativas que determinam quais produções são aplicáveis em cada passo de uma derivação. A verificação de aparência se refere a uma forma especial de aplicar algumas produções, escolhidas pelo projetista da gramática, sem alterar a forma sentencial nessa aplicação. É provado que esse formalismo tem poder de máquina de Turing demonstrando, em forma construtiva, sua equivalência com quatro formalismos gramaticais baseados em gramáticas livres de contexto com mecanismos de controle, que tem esse poder. São desenvolvidos dois analisadorers para linguagens dependentes de contexto a partir de um desses outros quatro formalismos. Um deles, que é baseado em autômatos-pilha, opera em forma ascendente; o outro, baseado em autômatos finitos adaptativos, opera em forma descendente. / This work introduces and describes the formalism of the context-free adaptive grammar with appearance checking. Such gramatical devices have as its kernel a subjacent context-free grammar and, as mechanism of self-modification, one or several adaptive functions which determines the productions able to be applied at each step of a derivation. The appearance checking refers to a special way to apply some productions, choosen by the designer of the grammar, without changing the sentential form in this application. It is proved that this formalism has Turing Machine power, proving, by construction, its equivalence with four grammatical formalisms based on context-free grammars and with control mechanisms, with such power. Two parsers have been developed for context-dependent languages from one of these four formalisms. One of them is based on stack-automata, and operates in a bottom-up fashion.

Thesis (MSc (Mathematical Sciences))--University of Stellenbosch, 2008. / Context-free grammars are well-studied and well-behaved in terms of decidability, but many real-world problems cannot be described with context-free grammars. Grammars with regulated rewriting are grammars with mechanisms to regulate the applications of rules, so that certain derivations are avoided. Thus, with context-free rules and regulated rewriting mechanisms, one can often generate languages that are not context-free. In this thesis we study grammars with regulated rewriting mechanisms. We consider problems in which context-free grammars are insufficient and in which more descriptive grammars are required. We compare bag context grammars with other well-known classes of grammars with regulated rewriting mechanisms. We also discuss the relation between bag context grammars and recognizing devices such as counter automata and Petri net automata. We show that regular bag context grammars can generate any recursively enumerable language. We reformulate the pumping lemma for random permitting context languages with context-free rules, as introduced by Ewert and Van der Walt, by using the concept of a string homomorphism. We conclude the thesis with decidability and complexity properties of grammars with regulated rewriting.

Tato disertační práce studuje synchronní formální systémy založené na gramatikách a převodnících a zkoumá jak jejich teoretické vlastnosti, tak i perspektivy praktických aplikací. Práce představuje nové koncepty a definice vycházející ze známých principů řízeného přepisování a synchronizace. Navrhuje alternativní způsob synchronizace bezkontextových gramatik, založený na propojení pravidel. Tento princip rozšiřuje také na řízené gramatiky, konkrétně gramatiky s rozptýleným kontextem a maticové gramatiky. Dále je představen na podobném principu založený nový druh převodníku, tzv. pravidlově omezený převodník. Jedná se o systém složený z konečného automatu a bezkontextové gramatiky. Práce prezentuje nové teoretické výsledky ohledně generativní a přijímajicí síly. Poslední část práce zkoumá možnosti lingvisticky orientovaných aplikací se zameřením na překlad přirozeného jazyka. Diskutuje a srovnává hlavní výhody nových modelů s využitím vybraných případových studií z českého, anglického a japonského jazyka pro ilustraci.

Cette thèse contribue à l’étude de la fiabilité et de la sécurité-innocuité des systèmes informatisés, modélisés par des systèmes à événements discrets. Les principales contributions concernent la théorie des Systèmes de Contrôle (notés C Systems) et l’approche par Monitoring des modèles.Dans la première partie de la thèse, nous étudions la théorie des Systèmes de Contrôle qui combine et étend de façon significative, les systèmes de réécriture de la théorie des langages et le contrôle supervisé. Un système de contrôle est une structure générique qui contient deux composants : le composant contrôlé et le composant contrôlant qui restreint le comportement du composant contrôlé. Les deux composants sont exprimés en utilisant le même formalisme comme des automates ou des grammaires. Nous considérons différentes classes de systèmes de contrôle basés sur différents formalismes comme, par exemple, les automates, les grammaires, ainsi que leurs versions infinies et concurrentes. Ensuite, une application de cette théorie est présentée. Les systèmes de contrôle basés sur les automates de Büchi sont utilisés pour vérifier par model-checking, des propriétés définissant la correction sur des traces d’exécution spécifiées par une assertion de type nevertrace.Dans la seconde partie de la thèse, nous investiguons l’approche de monitoring des modèles dont la théorie des systèmes de contrôle constitue les fondations formelles. Le principe pivot de cette approche est la «spécification de propriétés comme contrôleur». En d’autres termes, pour un système, les exigences fonctionnelles, d’une part, et des propriétés, d’autre part, sont modélisées et implantées séparément, les propriétés spécifiées contrôlant le comportement issu des exigences fonctionnelles. De cette approche découle ainsi deux techniques alternatives, respectivement nommées monitoring de modèle et génération de modèle. Cette approche peut être utilisée de diverses manières pour améliorer la fiabilité et la sécurité-innocuité de divers types de systèmes. Nous présentons quelques applications qui montrent l’intérêt pratique de cette contribution théorique. Tout d’abord, cette approche aide à prendre en compte les évolutions des spécifications des propriétés. En second lieu, elle fournit une base théorique à la sécurité fonctionnelle, popularisée par la norme IEC 61508. En troisième lieu, l’approche peut être utilisée pour formaliser et vérifier l’application de guides de bonnes pratiques ou des règles de modélisation appliquées par exemple pour des modèles UML.Ces résultats constituent les bases pour des études futures de dispositifs plus perfectionnés, et fournissent une nouvelle voie pour s’assurer de la fiabilité et de la sécurité-innocuité des systèmes / This thesis contributes to the study of reliability and safety of computer and software systems which are modeled as discrete event systems. The major contributions include the theory of Control Systems (C Systems) and the model monitoring approach.In the first part of the thesis, we study the theory of control systems which combines and significantly extends regulated rewriting in formal languages theory and supervisory control. The control system is a generic framework, and contains two components: the controlled component and the controlling component that restricts the behavior of the controlled component. The two components are expressed using the same formalism, e.g., automata or grammars. We consider various classes of control systems based on different formalisms, for example, automaton control systems, grammar control systems, and their infinite versions and concurrent variants. After that, an application of the theory is presented. The Büchi automata based control system is used to model and check correctness properties on execution traces specified by nevertrace claims.In the second part of the thesis, we investigate the model monitoring approach whose theoretical foundation is the theory of control systems. The key principle of the approach is “property specifications as controllers”. In other words, the functional requirements and property specification of a system are separately modeled and implemented, and the latter one controls the behavior of the former one. The model monitoring approach contains two alternative techniques, namely model monitoring and model generating. The approach can be applied in several ways to improve reliability and safety of various classes of systems. We present some typical applications to show its strong power. First, the approach provides better support for the change and evolution of property specifications. Second, it provides the theoretical foundation of safety-related systems in the standard IEC 61508 for ensuring the functional validity. Third, it is used to formalize and check guidelines and consistency rules of UML.These results lay out the foundations for further study of more advanced control mechanisms, and provide a new way for ensuring reliability and safety

V této disertační práci jsou studovány teoretické vlastnosti gramatik s omezenými derivačními stromy. Po uvedení současného stavu poznání v této oblasti je výzkum zaměřen na tři základní typy omezení derivačních stromů. Nejprve je představeno zcela nové téma, které je založeno na omezení řezů a je zkoumána vyjadřovací síla takto omezené gramatiky. Poté je zkoumáno několik nových vlastností omezení kladeného na cestu derivačních stromů. Zejména je studován vliv vymazávacích pravidel na vyjadřovací sílu gramatik s omezenou cestou a pro tyto gramatiky jsou zavedeny dvě normální formy. Následně je popsána nová souvislost mezi gramatikami s omezenou cestou a některými pseudouzly. Dále je prezentován protiargument k vyjadřovací síle tohoto modelu, která byla dosud považována za dobře známou vlastnost. Nakonec je zavedeno zobecnění modelu s omezenou cestou na ne jednu, ale několik cest. Tento model je následně studován zejména z hlediska vlastností vkládání, uzávěrových vlastností a vlastností syntaktické analýzy.