Two-Player Reachability-Price Games on Single-Clock Timed Automata

We study two player reachability-price games on single-clock timed automata. The problem is as follows: given a state of the automaton, determine whether the first player can guarantee reaching one of the designated goal locations. If a goal location can be reached then we also want to compute the optimum price of doing so. Our contribution is twofold. First, we develop a theory of cost functions, which provide a comprehensive methodology for the analysis of this problem. This theory allows us to establish our second contribution, an EXPTIME algorithm for computing the optimum reachability price, which improves the existing 3EXPTIME upper bound.Comment: In Proceedings QAPL 2011, arXiv:1107.074

Mean-Payoff Games on Timed Automata

Mean-payoff games on timed automata are played on the infinite weighted graph of configurations of priced timed automata between two players - Player Min and Player Max - by moving a token along the states of the graph to form an infinite run. The goal of Player Min is to minimize the limit average weight of the run, while the goal of the Player Max is the opposite. Brenguier, Cassez, and Raskin recently studied a variation of these games and showed that mean-payoff games are undecidable for timed automata with five or more clocks. We refine this result by proving the undecidability of mean-payoff games with three clocks. On a positive side, we show the decidability of mean-payoff games on one-clock timed automata with binary price-rates. A key contribution of this paper is the application of dynamic programming based proof techniques applied in the context of average reward optimization on an uncountable state and action space

Contribution to the verification of timed automata (determinization, quantitative verification and reachability in networks of automata)

Cette thèse porte sur la vérification des automates temporisés, un modèle bien établi pour les systèmes temps-réels. La thèse est constituée de trois parties. La première est dédiée à la déterminisation des automates temporisés, problème qui n'a pas de solution en général. Nous proposons une méthode approchée (sur-approximation, sous-approximation, mélange des deux) fondée sur la construction d'un jeu de sûreté. Cette méthode améliore les approches existantes en combinant leurs avantages respectifs. Nous appliquons ensuite cette méthode de déterminisation à la génération automatique de tests de conformité. Dans la seconde partie, nous prenons en compte des aspects quantitatifs des systèmes temps-réel grâce à une notion de fréquence des états acceptants dans une exécution d'un automate temporisé. Plus précisément, la fréquence d'une exécution est la proportion de temps passée dans les états acceptants. Nous intéressons alors à l'ensemble des fréquences des exécutions d'un automate temporisé pour étudier, par exemple, le vide de langages seuils. Nous montrons ainsi que les bornes de l'ensemble des fréquences sont calculables pour deux classes d'automates temporisés. D'une part, les bornes peuvent être calculées en espace logarithmique par une procédure non-déterministe dans les automates temporisés à une horloge. D'autre part, elles peuvent être calculées en espace polynomial dans les automates temporisés à plusieurs horloges ne contenant pas de cycles forçant la convergence d'horloges. Finalement, nous étudions le problème de l'accessibilité des états acceptants dans des réseaux d'automates temporisés qui communiquent via des files FIFO. Nous considérons tout d'abord des automates temporisés à temps discret, et caractérisons les topologies de réseaux pour lesquelles l'accessibilité est décidable. Cette caractérisation est ensuite étendue aux automates temporisés à temps continu.This thesis is about verification of timed automata, a well-established model for real time systems. The document is structured in three parts. The first part is dedicated to the determinization of timed automata, a problem which has no solution in general. We propose an approximate (over-approximation/under-approximation/mix) method based on the construction of a safety game. This method improves both existing approaches by combining their respective advantages. Then, we apply this determinization approach to the generation of conformance tests. In the second part, we take into account quantitative aspects of real time systems thanks to a notion of frequency of accepting states along executions of timed automata. More precisely, the frequency of a run is the proportion of time elapsed in accepting states. Then, we study the set of frequencies of runs of a timed automaton in order to decide, for example, the emptiness of threshold languages. We thus prove that the bounds of the set of frequencies are computable for two classes of timed automata. On the one hand, we prove that bounds are computable in logarithmic space by a non-deterministic procedure in one-clock timed automata. On the other hand, they can be computed in polynomial space in timed automata with several clocks, but having no cycle that forces the convergence between clocks. Finally, we study the reachability problem in networks of timed automata communicating through FIFO channels. We first consider dicrete timed automata, and characterize topologies of networks for which reachability is decidable. Then, this characterization is extended to dense-time automata.RENNES1-Bibl. électronique (352382106) / SudocSudocFranceF

Modelling and Simulation of the Dopaminergic System in addiction context. The case of Internet addiction

This thesis aims to improve theories of how the dopaminergic system works in an addiction context, by making use of modelling and simulation from computer science and different sociological and psychological theories about the addiction problem. The main focus is characterised by the dopamine system, which plays a key role in the brain: it is involved in several fundamental mechanisms (such as for example motivation, decision-making and motor control) and is also associated with particular disorders, as for example schizophrenia, Parkinson’s disease, and principally, with the addiction. The dopamine, in fact, is a neurotransmitter that, as demonstrated also in many different laboratory experiments, is involved in the mechanism of reward system and connected with “the part of brain that establishes communication between past experience and future decision-making”. The first part provides an overview of the main sociological theories on the problem of addiction, focusing on the causes and consequences of this phenomenon has on human behaviour, in particular, the inquiry will move to a new kind of addiction: the Internet and technology

Computer Aided Verification

This open access two-volume set LNCS 11561 and 11562 constitutes the refereed proceedings of the 31st International Conference on Computer Aided Verification, CAV 2019, held in New York City, USA, in July 2019. The 52 full papers presented together with 13 tool papers and 2 case studies, were carefully reviewed and selected from 258 submissions. The papers were organized in the following topical sections: Part I: automata and timed systems; security and hyperproperties; synthesis; model checking; cyber-physical systems and machine learning; probabilistic systems, runtime techniques; dynamical, hybrid, and reactive systems; Part II: logics, decision procedures; and solvers; numerical programs; verification; distributed systems and networks; verification and invariants; and concurrency

Computer Aided Verification

This open access two-volume set LNCS 11561 and 11562 constitutes the refereed proceedings of the 31st International Conference on Computer Aided Verification, CAV 2019, held in New York City, USA, in July 2019. The 52 full papers presented together with 13 tool papers and 2 case studies, were carefully reviewed and selected from 258 submissions. The papers were organized in the following topical sections: Part I: automata and timed systems; security and hyperproperties; synthesis; model checking; cyber-physical systems and machine learning; probabilistic systems, runtime techniques; dynamical, hybrid, and reactive systems; Part II: logics, decision procedures; and solvers; numerical programs; verification; distributed systems and networks; verification and invariants; and concurrency

Tools and Algorithms for the Construction and Analysis of Systems

This open access two-volume set constitutes the proceedings of the 27th International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2021, which was held during March 27 – April 1, 2021, as part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2021. The conference was planned to take place in Luxembourg and changed to an online format due to the COVID-19 pandemic. The total of 41 full papers presented in the proceedings was carefully reviewed and selected from 141 submissions. The volume also contains 7 tool papers; 6 Tool Demo papers, 9 SV-Comp Competition Papers. The papers are organized in topical sections as follows: Part I: Game Theory; SMT Verification; Probabilities; Timed Systems; Neural Networks; Analysis of Network Communication. Part II: Verification Techniques (not SMT); Case Studies; Proof Generation/Validation; Tool Papers; Tool Demo Papers; SV-Comp Tool Competition Papers

Multi-weighted Automata Models and Quantitative Logics

Recently, multi-priced timed automata have received much attention for real-time systems. These automata extend priced timed automata by featuring several price parameters. This permits to compute objectives like the optimal ratio between rewards and costs. Arising from the model of timed automata, the multi-weighted setting has also attracted much notice for classical nondeterministic automata. The present thesis develops multi-weighted MSO-logics on finite, infinite and timed words which are expressively equivalent to multi-weighted automata, and studies decision problems for them. In addition, a Nivat-like theorem for weighted timed automata is proved; this theorem establishes a connection between quantitative and qualitative behaviors of timed automata. Moreover, a logical characterization of timed pushdown automata is given

Computer Aided Verification

The open access two-volume set LNCS 12224 and 12225 constitutes the refereed proceedings of the 32st International Conference on Computer Aided Verification, CAV 2020, held in Los Angeles, CA, USA, in July 2020.* The 43 full papers presented together with 18 tool papers and 4 case studies, were carefully reviewed and selected from 240 submissions. The papers were organized in the following topical sections: Part I: AI verification; blockchain and Security; Concurrency; hardware verification and decision procedures; and hybrid and dynamic systems. Part II: model checking; software verification; stochastic systems; and synthesis. *The conference was held virtually due to the COVID-19 pandemic