L'étude des grands modèles de réseaux biologiques par l'utilisation d'outils d'analyse et de simulation conduit à un grand nombre de prédictions. Cela soulève la question de savoir comment identifier les prédictions intéressantes de nouveaux phénomènes, qui peuvent être confrontés à des données expérimentales. Les techniques de vérification formelle basées sur le model checking constituent une technologie puissante pour faire face à cette augmentation d'échelle et de complexité pour l'analyse de ces réseaux. L'application de ces techniques est par contre difficile, pour plusieurs raisons. Premièrement, le domaine de la biologie des systèmes a mis en évidence quelques propriétés dynamiques du réseau, comme la multi-stabilité et les oscillations, qui ne sont pas facilement exprimables avec les logiques temporelles classiques. Deuxièmement, la difficulté de poser des questions pertinentes et intéressantes en logique temporelle est difficile pour les utilisateurs non-experts. Enfin, la plupart des modèles existants et des outils de simulation ne sont pas capables d'appliquer des techniques de model checking d'une manière transparente. La mise en œuvre des approches développées dans ce travail contribue à enlever des obstacles pour l'utilisation de la technologie de vérification formelle en biologie. Leur application a été validée sur l'analyse et la simulation de deux modèles biologiques complexes. / The study of large models of biological networks by means of analysis and simulation tools leads to large amounts of predictions. This raises the question of how to identify interesting predictions of novel phenomena that can be confronted with experimental data. Formal verification techniques based on model-checking have recently been used to the analysis of these networks, providing a powerful technology to keep up with this increase in scale and complexity. The application of these techniques is hampered, however, by several key issues. First, the systems biology domain brought to the fore a few properties of the network dynamics like multistability and oscillations, that are not easily expressed using classical temporal logics. Second, the problem of posing relevant and interesting questions in temporal logic, is difficult for non-expert users. Finally, most of the existing modeling and simulation tools are not capable of applying model-checking techniques in a transparent way. The approaches developed in this work lower the obstacles to the use of formal verification in systems biology. They have been validated on the analysis and simulation of two real and complex biological models. / O estudo de redes biológicas tem originado o desenvolvimento de modelos cada vez mais complexos e detalhados. O estudo de redes biológicas complexas utilizando ferramentas de análise e simulação origina grandes quantidades de previsões. Isto levanta a questão de como identificar previsões interessantes de novos fenómenos que possam ser comparados com dados experimentais. As técnicas de verificação formal baseadas em model-checking têm sido usadas na análise destas redes, fornecendo uma tecnologia poderosa para acompanhar o aumento de escala e complexidade do problema. A aplicação destas técnicas tem sido dificultada por um conjunto importante de factores. Em primeiro lugar, em biologia de sistemas têm sido tratadas diversas questões acerca da dinâmica da rede, como a multi-estabilidade e oscilações, que não são facilmente expressas usando lógicas temporais clássicas. Em segundo lugar, o problema de como elaborar perguntas relevantes em lógica temporal, é difícil para o utilizador comum. Por último, a maioria das ferramentas de modelação e simulação não estão preparadas para a aplicação de técnicas de model-checking de forma transparente. Os métodos desenvolvidos nesta tese aliviam os obstáculos no uso da verificação formal em biologia de sistemas. Estes métodos foram validados através da análise e simulação de dois modelos biológicos complexos.

Made available in DSpace on 2015-03-03T15:08:46Z (GMT). No. of bitstreams: 1 RicardoWA.pdf: 1646499 bytes, checksum: efcc744c6ff7cea26befa0adbedb8c6a (MD5) Previous issue date: 2005-09-02 / Este trabalho apresenta uma t?cnica de verifica??o formal de Sistemas de Racioc?nio Procedural, PRS (Procedural Reasoning System), uma linguagem de programa??o que utiliza a abordagem do racioc?nio procedural. Esta t?cnica baseia-se na utiliza??o de regras de convers?o entre programas PRS e Redes de Petri Coloridas (RPC). Para isso, s?o apresentadas regras de convers?o de um sub-conjunto bem expressivo da maioria da sintaxe utilizada na linguagem PRS para RPC. A fim de proceder fia verifica??o formal do programa PRS especificado, uma vez que se disponha da rede de Petri equivalente ao programa PRS, utilizamos o formalismo das RPCs (verifica??o das propriedades estruturais e comportamentais) para analisarmos formalmente o programa PRS equivalente. Utilizamos uma ferramenta computacional dispon?vel para desenhar, simular e analisar as redes de Petri coloridas geradas. Uma vez que disponhamos das regras de convers?o PRS-RPC, podemos ser levados a querer fazer esta convers?o de maneira estritamente manual. No entanto, a probabilidade de introdu??o de erros na convers?o ? grande, fazendo com que o esfor?o necess?rio para garantirmos a corretude da convers?o manual seja da mesma ordem de grandeza que a elimina??o de eventuais erros diretamente no programa PRS original. Assim, a convers?o automatizada ? de suma import?ncia para evitar que a convers?o manual nos leve a erros indesej?veis, podendo invalidar todo o processo de convers?o. A principal contribui??o deste trabalho de pesquisa diz respeito ao desenvolvimento de uma t?cnica de verifica??o formal automatizada que consiste basicamente em duas etapas distintas, embora inter-relacionadas. A primeira fase diz respeito fias regras de convers?o de PRS para RPC. A segunda fase ? concernente ao desenvolvimento de um conversor para fazer a transforma??o de maneira automatizada dos programas PRS para as RPCs. A convers?o autom?tica ? poss?vel, porque todas as regras de convers?o apresentadas seguem leis de forma??o gen?ricas, pass?veis de serem inclu?das em algoritmos

Submitted by Wagner Junior (wagner.junior@unioeste.br) on 2018-11-30T17:04:04Z No. of bitstreams: 2 Claudia_Beatriz_Bozz_2018.pdf: 4791914 bytes, checksum: 0affba2e984ec7e6beefa83d0c3bdfeb (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Made available in DSpace on 2018-11-30T17:04:04Z (GMT). No. of bitstreams: 2 Claudia_Beatriz_Bozz_2018.pdf: 4791914 bytes, checksum: 0affba2e984ec7e6beefa83d0c3bdfeb (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2018-07-26 / Real time systems that have continuous behavior associated with discrete elements are called hybrid systems. Among them, in this master’s research, a hydraulic system has been chosen as an object of study in order to perform the reliability analysis of it through modeling and formal verification. Much as several models for the reliability analysis of complex systems have been proposed in the literature, most of them are not suitable to represent the system when its behavior needs to be expressed by means of continuous variables, like the case of hybrid systems. Generally, simulation and experimental testing are used to analyze systems, and they give only approximate results from a large amount of samples. To eliminate the limitations of these techniques, the formal verification is an effective alternative, since it is characterized by performing a sweep in all possible states of the system automatically, verifying the behavior as a whole. The UPPAAL STRATEGO toolkit for modelling by stochastic hybrid automata and model checking has been used in this work, both classic formal verification and statistical formal verification. A benckmark has been used as object of study. Initially, the system has been modelling and its behavior (physical and controlled) verified through simulation and formal verification (property specification and model checking). The reliability parameters obtained in the statistical analysis of the system failures have been compared with results of literature, presenting a dispersion less than 2.5%, so it can be verify that the methodology used and the models constructed were adequate to analyze the reliability of this system hybrid.In a second step of this work, the probability distribution of failure of the components have been modified, in order to become the system more reliable with real hydraulic systems, and estimate the optimum mean time between maintenance (MTBM) of this system. Thus, it’s possible to conclude that the methodology is adequate to perform the reliability analysis of the hydraulic system, being that model checking is effective to estimate the reliability parameters of the hydraulic system. / Sistemas de tempo real que possuem comportamento contínuo associado com elementos de características discretas são chamados de sistemas híbridos. Dentre estes, nesta pesquisa de mestrado, optou-se pelo emprego de um sistema hidráulico como objeto de estudo a fim de realizar a análise de confiabilidade do mesmo a partir de modelagem e verificação formal. Por mais que diversos modelos para a análise de confiabilidade de sistemas complexos tenham sido propostos na literatura, a maioria não são adequados para representar sistemas em que o comportamento é expresso em variáveis contínuas, como é o caso dos sistemas híbridos. De modo geral, para a análise de sistemas, a simulação e os testes experimentais são comumente utilizados, e geram apenas resultados aproximados a partir de uma grande quantidade de amostras. Para eliminar as limitações destas técnicas, a verificação formal é uma alternativa eficaz, visto que é caracterizada por realizar uma varredura em todos os estados possíveis do sistema de forma automática, verificando o comportamento como um todo do mesmo. Neste trabalho, foi utilizada a ferramenta computacional UPPAAL STRATEGO para a modelagem por autômatos estocásticos híbridos e verificação dos modelos, tanto verificação formal clássica como estatística. Um modelo padrão (benchmark) foi utilizado como objeto de estudo. Inicialmente o sistema foi modelado e seu comportamento (físico e controlado) verificado através da simulação e verificação formal (especificação de propriedades e verificação de modelos). Os parâmetros de confiabilidade obtidos na análise estatística de falha do sistema foram comparados com outros existentes na literatura, apresentado uma dispersão inferior a 2,5%, logo pôde se verificar que a metodologia empregada e os modelos construídos foram adequados para análise de confiabilidade deste sistema hibrido. Em uma segunda etapa do trabalho, foi modificada a distribuição de probabilidade de falha dos componentes, a fim de tornar o sistema mais fidedigno com sistemas hidráulicos reais, e estimar o tempo médio entre manutenções (MTBM – Mean Time Between Maintenance) ideal deste sistema. Portanto, conclui-se que a metodologia empregada foi adequada para realizar a análise de confiabilidade do sistema hidráulico, sendo efetivo levantar os parâmetros de confiabilidade através da verificação de modelos.

Les systèmes multi-agents (SMA) peuvent être utilisé pour modéliser les phénomènes qui peuvent être décomposés en agents qui interagissent et qui existent au sein d'un environnement. Ils peuvent être utilisés pour modéliser les sociétés humaines et animales, aux fins de l'analyse de leurs propriétés par des moyens de calcul. Cette thèse est consacrée à l'analyse automatisée d'un type particulier de ces modèles sociaux, celles qui sont fondées sur les principes comportementalistes, qui contrastent avec les approches cognitives plus dominantes dans la littérature des SMAs. La caractéristique des théories comportementalistes est l'accent mis sur la définition des comportements basée sur l'interaction entre les agents et leur environnement. Non seulement des actions réflexives, mais aussi d'apprentissage, les motivations, et les émotions peuvent être définies. Nous introduisons une architecture formelle d'agent basée sur la théorie d'analyse comportementale de B. F. Skinner, ainsi que une notion appropriée et formelle de l'environnement pour mettre ces agents ensemble dans un SMA. La simulation est souvent utilisée pour analyser les SMAs. Les techniques consistent généralement à simuler le SMA plusieurs fois, soit pour recueillir des statistiques, soit pour voir ce qui se passe à travers l'animation. Toutefois, les simulations peuvent être utilisées d'une manière plus orientée vers la vérification si on considère qu'elles sont en réalité des explorations de grandes espaces d'états. Nous proposons une technique de vérification nouvelle basé sur cette idée, qui consiste à simuler un SMA de manière guidée, afin de vérifier si quelques hypothèses sur lui sont confirmées ou non. À cette fin, nous tirons profit de la position privilégiée que les environnements sont dans les SMAs de cette thèse: la spécification formelle de l'environnement d'un SMA sert à calculer les évolutions possibles du SMA comme un système de transition, établissant ainsi l'espace d'états à vérifier. Dans ce calcul, les agents sont pris en compte en les simulant afin de déterminer, à chaque état de l'environnement, quelles sont leurs actions. Chaque exécution de la simulation est une séquence d'états dans cet espace d'états, qui est calculée à la volée, au fur et à mesure que la simulation progresse. L'hypothèse à étudier, à son tour, est donnée comme un autre système de transition, appelé objectif de simulation, qui définit les simulations désirables et indésirables. Il est alors possible de vérifier si le SMA est conforme à l'objectif de simulation selon un certain nombre de notions de satisfiabilité très précises. Algorithmiquement, cela correspond à la construction d'un produit synchrone de ces deux systèmes de transitions (i.e., celui du SMA et l'objectif de simulation) à la volée et à l'utiliser pour faire fonctionner un simulateur. C'est-à-dire, l'objectif de simulation est utilisé pour guider le simulateur, de sorte que seuls les états concernés sont en réalité simulés. À la fin d'un tel algorithme, il délivre un verdict concluant ou non concluant. Si c'est concluant, il est connu que le SMA est conforme à l'objectif de simulation par rapport aux observations qui ont été faites lors des simulations. Si c'est non-concluant, il est possible d'effectuer quelques ajustements et essayer à nouveau. En résumé, dans cette thèse nous fournissons quatre nouveaux éléments: (i) une architecture d'agent; (ii) une spécification formelle de l'environnement de ces agents, afin qu'ils puissent être composés comme un SMA; (iii) une structure pour décrire les propriétés d'intérêt, que nous avons nommée objectif de simulation, et (iv) une technique pour l'analyse formelle du SMA résultant par rapport à un objectif de simulation. Ces éléments sont mis en œuvre dans un outil, appelé Simulateur Formellement Guidé (FGS, de l'anglais Formally Guided Simulator).Des études de cas exécutables dans FGS sont fournies pour illustrer l'approche. / Multi-agent systems (MASs) can be used to model phenomena that can be decomposed into several interacting agents which exist within an environment. In particular, they can be used to model human and animal societies, for the purpose of analysing their properties by computational means. This thesis is concerned with the automated analysis of a particular kind of such social models, namely, those based on behaviourist principles, which contrasts with the more dominant cognitive approaches found in the MAS literature. The hallmark of behaviourist theories is the emphasis on the definition of behaviour in terms of the interaction between agents and their environment. In this manner, not merely reflexive actions, but also learning, drives, and emotions can be defined. More specifically, in this thesis we introduce a formal agent architecture (specified with the Z Notation) based on the Behaviour Analysis theory of B. F. Skinner, and provide a suitable formal notion of environment (based on the pi-calculus process algebra) to bring such agents together as a MAS. Simulation is often used to analyse MASs. The techniques involved typically consist in implementing and then simulating a MAS several times to either collect statistics or see what happens through animation. However, simulations can be used in a more verification-oriented manner if one considers that they are actually explorations of large state-spaces. In this thesis we propose a novel verification technique based on this insight, which consists in simulating a MAS in a guided way in order to check whether some hypothesis about it holds or not. To this end, we leverage the prominent position that environments have in the MASs of this thesis: the formal specification of the environment of a MAS serves to compute the possible evolutions of the MAS as a transition system, thereby establishing the state-space to be investigated. In this computation, agents are taken into account by being simulated in order to determine, at each environmental state, what their actions are. Each simulation execution is a sequence of states in this state-space, which is computed on-the-fly, as the simulation progresses. The hypothesis to be investigated, in turn, is given as another transition system, called a simulation purpose, which defines the desirable and undesirable simulations (e.g., "every time the agent does X, it will do Y later"). It is then possible to check whether the MAS satisfies the simulation purpose according to a number of precisely defined notions of satisfiability. Algorithmically, this corresponds to building a synchronous product of these two transitions systems (i.e., the MAS's and the simulation purpose) on-the-fly and using it to operate a simulator. That is to say, the simulation purpose is used to guide the simulator, so that only the relevant states are actually simulated. By the end of such an algorithm, it delivers either a conclusive or inconclusive verdict. If conclusive, it becomes known whether the MAS satisfies the simulation purpose w.r.t. the observations made during simulations. If inconclusive, it is possible to perform some adjustments and try again.In summary, then, in this thesis we provide four novel elements: (i) an agent architecture; (ii) a formal specification of the environment of these agents, so that they can be composed into a MAS; (iii) a structure to describe the property of interest, which we named simulation purpose; and (iv) a technique to formally analyse the resulting MAS with respect to a simulation purpose. These elements are implemented in a tool, called Formally Guided Simulator (FGS). Case studies executable in FGS are provided to illustrate the approach.

Multi-agent systems (MASs) can be used to model phenomena that can be decomposed into several interacting agents which exist within an environment. In particular, they can be used to model human and animal societies, for the purpose of analysing their properties by computational means. This thesis is concerned with the automated analysis of a particular kind of such social models, namely, those based on behaviourist principles, which contrasts with the more dominant cognitive approaches found in the MAS literature. The hallmark of behaviourist theories is the emphasis on the definition of behaviour in terms of the interaction between agents and their environment. In this manner, not merely re exive actions, but also learning, drives, and emotions can be defined. More specifically, in this thesis we introduce a formal agent architecture (specified with the Z Notation) based on the Behaviour Analysis theory of B. F. Skinner, and provide a suitable formal notion of environment (based on the pi-calculus process algebra) to bring such agents together as an MAS. Simulation is often used to analyse MASs. The techniques involved typically consist in implementing and then simulating a MAS several times to either collect statistics or see what happens through animation. However, simulations can be used in a more verification-oriented manner if one considers that they are actually explorations of large state-spaces. In this thesis we propose a novel verification technique based on this insight, which consists in simulating a MAS in a guided way in order to check whether some hypothesis about it holds or not. To this end, we leverage the prominent position that environments have in the MASs of this thesis: the formal specification of the environment of a MAS serves to compute the possible evolutions of the MAS as a transition system, thereby establishing the state-space to be investigated. In this computation, agents are taken into account by being simulated in order to determine, at each environmental state, what their actions are. Each simulation execution is a sequence of states in this state-space, which is computed on-the-fly, as the simulation progresses. The hypothesis to be investigated, in turn, is given as another transition system, called a simulation purpose, which defines the desirable and undesirable simulations (e.g., \"every time the agent does X, it will do Y later\"). It is then possible to check whether the MAS satisfies the simulation purpose according to a number of precisely defined notions of satisfiability. Algorithmically, this corresponds to building a synchronous product of these two transitions systems (i.e., the MAS\'s and the simulation purpose) on-the-fly and using it to operate a simulator. That is to say, the simulation purpose is used to guide the simulator, so that only the relevant states are actually simulated. By the end of such an algorithm, it delivers either a conclusive or an inconclusive verdict. If conclusive, it becomes known whether the MAS satisfies the simulation purpose with respect to the observations made during simulations. If inconclusive, it is possible to perform some adjustments and try again. In summary, then, in this thesis we provide four novel elements: (i) an agent architecture; (ii) a formal specification of the environment of these agents, so that they can be composed into an MAS; (iii) a structure to describe the property of interest, which we named simulation purpose; and (iv) a technique to formally analyse the resulting MAS with respect to a simulation purpose. These elements are implemented in a tool, called Formally Guided Simulator (FGS). Case studies executable in FGS are provided to illustrate the approach. / Sistemas multi-agentes (SMAs) podem ser usados para modelar fenômenos que podem ser decompostos em diversos agentes que interagem entre si dentro de um ambiente. Em particular, eles podem ser usados para modelar sociedades humanas e animais, com a finalidade de se analisar as suas propriedades computacionalmente. Esta tese trata da análise automatizada de um tipo particular de tais modelos sociais, a saber, aqueles baseados em princípios behavioristas, o que contrasta com as abordagens cognitivas mais dominante na literatura de SMAs. A principal característica das teorias behaviorista é a ênfase na descrição do comportamento em termos da interação entre agentes e seu ambiente. Desta forma, não apenas ações refl exivas, mas também de aprendizado, motivações, e as emoções podem ser definidas. Mais especificamente, nesta tese apresentamos uma arquitetura de agentes formal (especificada através da Notação Z) baseada na teoria da Análise do Comportamento de B. F. Skinner, e fornecemos uma noção adequada e formal de ambiente (com base na álgebra de processos pi-calculus) para colocar tais agentes juntos em um SMA. Simulações são freqüentemente utilizadas para se analisar SMAs. As técnicas envolvidas tipicamente consistem em simular um SMA diversas vezes, seja para coletar estatísticas, seja para observar o que acontece através de animações. Contudo, simulações podem ser usadas de forma a pertmitir a realização de verificações automatizadas do SMA caso sejam entendidas como explorações de grandes espaços-de-estados. Nesta tese propomos uma técnica de verificação baseada nessa observação, que consiste em simular um SMA de uma forma guiada, a fim de se determinar se uma dada hipótese sobre ele é verdadeira ou não. Para tal fim, tiramos proveito da importância que os ambientes têm nesta tese: a especificação formal do ambiente de um SMA serve para calcular as evoluções possíveis do SMA como um sistema de transição, estabelecendo assim o espaço-de-estados a ser investigado. Neste cálculo, os agentes são levados em conta simulando-os, a fim de determinar, em cada estado do ambiente, quais são suas ações. Cada execução da simulação é uma seqüência de estados nesse espaço-de-estados, que é calculado em tempo de execução, conforme a simulação progride. A hipótese a ser investigada, por sua vez, é dada como um outro sistema de transição, chamado propósito de simulação, o qual define as simulações desejáveis e indesejáveis (e.g., \"sempre que o agente fizer X, ele fará Y depois\"). Em seguida, é possível verificar se o SMA satisfaz o propósito de simulação de acordo com uma série de relações de satisfatibilidade precisamente definidas. Algoritmicamente, isso corresponde a construir um produto síncrono desses dois sistemas de transições (i.e., o do SMA e o do propósito de simulação) em tempo de execução e usá-lo para operar um simulador. Ou seja, o propósito de simulação é usado para guiar o simulador, de modo que somente os estados relevantes sejam efetivamente simulados. Ao terminar, um tal algoritmo pode fornecer um veredito conclusivo ou inconclusivo. Se conclusivo, descobre-se se o SMA satisfaz ou não o propósito de simulação com relação às observações feitas durante as simulações. Se inconclusivo, é possível realizar alguns ajustes e tentar novamente. em resumo, portanto, nesta tese propomos quatro novos elementos: (i) uma arquitetura de agente, (ii) uma especificação formal do ambiente desses agentes, de modo que possam ser compostos em um SMA, (iii) uma estrutura para descrever a propriedade de interesse, a qual chamamos de propósito de simulação, e (iv) uma técnica para se analisar formalmente o SMA resultante com relação a um propósito de simulação. Esses elementos estão implementados em uma ferramenta, denominada Simulador Formalmente Guiado (FGS, do inglês Formally Guided Simulator). Estudos de caso executáveis no FGS são fornecidos para ilustrar a abordagem.

L'objectif principal de cette thèse est de proposer une approche efficace de modélisation et de résolution pour le problème d’ordonnancement, en mettant l’accent sur le partage multi-ressources et sur l’incertitude potentielle d’occurrence de certains événements. L'ordonnancement a pour objectif de réaliser un ensemble de tâches à la fois en respectant des contraintes prédéfinies et en optimisant le temps. Ce travail s’intéresse en particulier à la minimisation du temps total d’exécution. La plupart des approches existantes préconisent une modélisation mathématique exprimant des équations et des contraintes pour décrire et résoudre des problèmes d’ordonnancement. De telles démarches ont une complexité inhérente. Cependant dans l’industrie, la tâche de planification est récurrente et peut requérir des changements fréquents des contraintes. Outre cela, la prise en compte d’événements incertains est peu supportée par les approches existantes; cela peut toutefois augmenter la robustesse d’un ordonnancement. Pour répondre à ces problématiques, après une introduction, le chapitre 2 aborde le problème de l’ordonnancement à travers une démarche de modélisation visuelle, expressive et formelle, s’appuyant sur les automates pondérés et sur la théorie des automates temporisés. L’originalité des modèles proposés réside aussi dans leur capacité de décrire le partage de ressources multiples et proposer une approche de résolution efficace. Ces modèles ont l’avantage d’être directement exploitables par des outils de vérification formelle, à travers une démarche de preuve par contradiction vis-à-vis de l’existence d’une solution. Les résultats effectifs sont obtenus grâce à l’outil UPPAAL. La complexité inhérente à la production d’une solution optimale est abordée à travers un algorithme de recherche et d’amélioration itérative de solutions, offrant une complexité très prometteuse sur la classe de problèmes étudiés. Dans le chapitre 3, une composition synchrone est d’automates pondérés est proposée dans le but de résoudre le problème d’ordonnancement en effectuant une analyse d’atteignabilité optimale directement sur les modèles automates pondérés. Dans le quatrième chapitre, divers comportements incontrôlables tels que le temps de début, la durée de la tâche et l'occurrence d’échec dans un problème d‘ordonnancement sont modélisés par des automates de jeu temporisés. Ensuite, le problème est résolu en effectuant une synthèse de stratégie optimale dans le temps dans l'outil de synthèse TIGA. / The objective of scheduling problems is to find the optimal performing sequence for a set of tasks by respecting predefined constraints and optimizing a cost: time, energy, etc. Despite classical approaches, automata models are expressive and also robust against changes in the parameter setting and against changes in the problem specification. Besides, few studies have used formal verification approaches for addressing scheduling problems; yet none of them considered challenging and practical issues such as multi-resource sharing aspect, uncontrollable environment and reaching the optimal schedule in a reasonable time for industrializing the model. The main objective of this thesis is to propose an efficient modeling and solving approach for the scheduling problem, considering multi-resource sharing and potential uncertainty in occurrence of certain events. For this purpose, after an introduction in Chapter 1, Chapter 2 addresses the problem of scheduling through a visual, expressive and formal modeling approach, based on weighted automata and the theory of timed automata. The originality of the proposed approach lies in ability of handling the sharing of multiple resources and proposing an efficient solving approach. The proposed models have the advantage of being directly exploitable by means of formal verification tools. The results are obtained using the UPPAAL tool. To solve the problem, an algorithm is developed based on iterating reachability analysis to obtain sub-optimal makespan. Results show the proposed model and solving approach provides a very promising complexity on the class of studied problems and can be applied to industrial cases. In Chapter 3, a synchronous composition of weighted automata is proposed to solve the scheduling problem by performing an optimal reachability analysis directly on the weighted automata models. In the fourth chapter, various uncontrollable behaviors such as the start time, the duration of the task and the failure occurrence in a scheduling problem are modeled by timed game automata. Then, the problem is solved by performing an optimal strategy synthesis over time in TIGA as a synthesis tool.

Formal verification methods offer a large potential to provide automated software correctness checking (based on sound mathematical roots), which is of vital importance. One such technique is abstract regular model checking, which encodes sets of reachable configurations and one-step transitions between them using finite automata and transducers, respectively. Though this method addresses problems that are undecidable in general, it facilitates termination in many practical cases, while also significantly reducing the state space explosion problem. This is achieved by accelerating the computation of reachability sets using incrementally refinable abstractions, while eliminating spurious counterexamples caused by overapproximation using a counterexample-guided abstraction refinement technique. The aim of this thesis is to create a well designed tool for abstract regular model checking, which has so far only been implemented in prototypes. The new tool will model systems using symbolic automata and transducers instead of their (less concise) classic alternatives.

In this work, we propose a specialization of the inductive incremental coverability algorithm that solves alternating finite automata emptiness problem. We experiment with various design decisions, analyze them and prove their correctness. Even though the problem itself is PSpace-complete, we are focusing on making the decision of emptiness computationally feasible for some practical classes of applications. We have obtained interesting comparative results against state-of-the-art algorithms, especially in comparison with antichain-based algorithms.

Cieľom tejto práce je návrh a implementácia generického strategy solveru pre nástroj 2LS. 2LS je analyzátor na statickú verifikáciu programov napísaných v jazyku C. Verifikovaný program je za využita abstraktnej interpretácie analyzovaný SMT solverom. Prevod z ab- straktného stavu programu do logickej formule, s ktorou vie pracovať SMT solver vykonáva komponenta nazývaná strategy solver. Aktuálne pre každú doménu existuje jeden takýto solver. Navrhované riešenie vytvára jeden obecný strategy solver, ktorý zjednodušuje tvorbu nových domén. Zároveň navrhovaný spôsob umožnuje prevedenie existujúcich domén a teda zmenšuje program analyzátora.

This master’s thesis deals with programming of control system for an automatic assembly line rear seats of passenger cars. The theoretical part describes assembly line, PLC, robot, electric nutrunner and intelligent camera Sick. Practical part of the thesis characterizes created programs of assembly workplace control system. This part also explains creating a model of station and subsequent formal verification of basic safety and functional properties.