Linear Distances between Markov Chains

We introduce a general class of distances (metrics) between Markov chains, which are based on linear behaviour. This class encompasses distances given topologically (such as the total variation distance or trace distance) as well as by temporal logics or automata. We investigate which of the distances can be approximated by observing the systems, i.e. by black-box testing or simulation, and we provide both negative and positive results

Software doping – Theory and detection

Software is doped if it contains a hidden functionality that is intentionally included by the manufacturer and is not in the interest of the user or society. This thesis complements this informal definition by a set of formal cleanness definitions that characterise the absence of software doping. These definitions reflect common expectations on clean software behaviour and are applicable to many types of software, from printers to cars to discriminatory AI systems. We use these definitions to propose white-box and black-box analysis techniques to detect software doping. In particular, we present a provably correct, model-based testing algorithm that is intertwined with a probabilistic-falsification-based test input selection technique. We identify and explain how to overcome the challenges that are specific to real-world software doping tests and analyses. The most prominent example of software doping in recent years is the Diesel Emissions Scandal. We demonstrate the strength of our cleanness definitions and analysis techniques by applying them to emission cleaning systems of diesel cars. All our car related research is unified in a Car Data Platform. The mobile app LolaDrives is one building block of this platform; it supports conducting real-driving emissions tests and provides feedback to the user in how far a trip satisfies driving conditions that are defined by official regulations.Software ist gedopt wenn sie eine versteckte Funktionalität enthält, die vom Hersteller beabsichtigt ist und deren Existenz nicht im Interesse des Benutzers oder der Gesellschaft ist. Die vorliegende Arbeit ergänzt diese nicht formale Definition um eine Menge von Cleanness-Definitionen, die die Abwesenheit von Software Doping charakterisieren. Diese Definitionen spiegeln allgemeine Erwartungen an "sauberes" Softwareverhalten wider und sie sind auf viele Arten von Software anwendbar, vom Drucker über Autos bis hin zu diskriminierenden KI-Systemen. Wir verwenden diese Definitionen um sowohl white-box, als auch black-box Analyseverfahren zur Verfügung zu stellen, die in der Lage sind Software Doping zu erkennen. Insbesondere stellen wir einen korrekt bewiesenen Algorithmus für modellbasierte Tests vor, der eng verflochten ist mit einer Test-Input-Generierung basierend auf einer Probabilistic-Falsification-Technik. Wir identifizieren Hürden hinsichtlich Software-Doping-Tests in der echten Welt und erklären, wie diese bewältigt werden können. Das bekannteste Beispiel für Software Doping in den letzten Jahren ist der Diesel-Abgasskandal. Wir demonstrieren die Fähigkeiten unserer Cleanness-Definitionen und Analyseverfahren, indem wir diese auf Abgasreinigungssystem von Dieselfahrzeugen anwenden. Unsere gesamte auto-basierte Forschung kommt in der Car Data Platform zusammen. Die mobile App LolaDrives ist eine Kernkomponente dieser Plattform; sie unterstützt bei der Durchführung von Abgasmessungen auf der Straße und gibt dem Fahrer Feedback inwiefern eine Fahrt den offiziellen Anforderungen der EU-Norm der Real-Driving Emissions entspricht

IST Austria Thesis

This dissertation concerns the automatic verification of probabilistic systems and programs with arrays by statistical and logical methods. Although statistical and logical methods are different in nature, we show that they can be successfully combined for system analysis. In the first part of the dissertation we present a new statistical algorithm for the verification of probabilistic systems with respect to unbounded properties, including linear temporal logic. Our algorithm often performs faster than the previous approaches, and at the same time requires less information about the system. In addition, our method can be generalized to unbounded quantitative properties such as mean-payoff bounds. In the second part, we introduce two techniques for comparing probabilistic systems. Probabilistic systems are typically compared using the notion of equivalence, which requires the systems to have the equal probability of all behaviors. However, this notion is often too strict, since probabilities are typically only empirically estimated, and any imprecision may break the relation between processes. On the one hand, we propose to replace the Boolean notion of equivalence by a quantitative distance of similarity. For this purpose, we introduce a statistical framework for estimating distances between Markov chains based on their simulation runs, and we investigate which distances can be approximated in our framework. On the other hand, we propose to compare systems with respect to a new qualitative logic, which expresses that behaviors occur with probability one or a positive probability. This qualitative analysis is robust with respect to modeling errors and applicable to many domains. In the last part, we present a new quantifier-free logic for integer arrays, which allows us to express counting. Counting properties are prevalent in array-manipulating programs, however they cannot be expressed in the quantified fragments of the theory of arrays. We present a decision procedure for our logic, and provide several complexity results