Checking progress with aAction priority: is it fair?

The liveness characteristics of a system are intimately related to the notion of fairness. However, the task of explicitly modelling fairness constraints is complicated in practice. To address this issue, we propose to check LTS (Labelled Transition System) models under a strong fairness assumption, which can be relaxed with the use of action priority. The combination of the two provides a novel and practical way of dealing with fairness. The approach is presented in the context of a class of liveness properties termed progress, for which it yields a particularly efficient model-checking algorithm. Progress properties cover a wide range of interesting properties of systems, while presenting a clear intuitive meaning to users

Modular Verification for a Class of PLTL Properties

The verification of dynamic properties of a reactive systems by model-checking leads to a potential combinatorial explosion of the state space that has to be checked. In order to deal with this problem, we define a strategy based on local verifications rather than on a global verification. The idea is to split the system into subsystems called modules, and to verify the properties on each module in separation. We prove for a class of PLTL properties that if a property is satisfied on each module, then it is globally satisfied. We call such properties modular properties. We propose a modular decomposition based on the B refinement process. We present in this paper an usual class of dynamic properties in the shape of G (p -> Q), where `p' is a proposition and `Q' is a simple temporal formula, such as `X q', `F q', or `q U r' (with `q' and `r' being propositions). We prove that these dynamic properties are modular. For these specific patterns, we have exhibited some syntactic conditions of modularity on their corresponding Buchi automata. These conditions define a larger class which contains other patterns such as `G (p -> X (q U r))'. Finally, we show through the example of an industrial Robot that this method is valid in a practical way

An SMT-Based Approach to the Formal Analysis of MARTE/CCSL

International audienceMARTE (abbreviated for Modeling and Analysis of Real-Time and Embedded systems) is a UML profile which provides a generalmodeling framework to design and analyze real-time embedded systems. CCSL (abbreviated for Clock Constraint Specification Language) is aformal language companion to MARTE, used to specify the constraints between the occurrences of events in real-time embedded systems. Many approaches have been proposed to the formal analysis of CCSL such as simulation and model checking. We propose in this paper an SMT-based approach to the formal analysis of CCSL. It is well-known that the SMT-based approach can effectively overcome the state-explosion problem for model checking, and can also be used for theorem proving. The latter feature allows us to prove the invalidity of CCSL constraints, which most of the existing approaches lack. We implement the proposed approach in a prototype tool clyzer on top of K framework and use Z3 as theunderlying SMT solver

On the Decidability of Verifying LTL Properties of Golog Programs: Extended Version

Golog is a high-level action programming language for controlling autonomous agents such as mobile robots. It is defined on top of a logic-based action theory expressed in the Situation Calculus. Before a program is deployed onto an actual robot and executed in the physical world, it is desirable, if not crucial, to verify that it meets certain requirements (typically expressed through temporal formulas) and thus indeed exhibits the desired behaviour. However, due to the high (first-order) expressiveness of the language, the corresponding verification problem is in general undecidable. In this paper, we extend earlier results to identify a large, non-trivial fragment of the formalism where verification is decidable. In particular, we consider properties expressed in a first-order variant of the branching-time temporal logic CTL*. Decidability is obtained by (1) resorting to the decidable first-order fragment C² as underlying base logic, (2) using a fragment of Golog with ground actions only, and (3) requiring the action theory to only admit local effects.In this extended version we extend the decidability result for the verification problem to the temporal logic CTL* over C2-axioms

Practical Use of High-level Petri Nets

This booklet contains the proceedings of the Workshop on Practical Use of High-level Petri Nets, June 27, 2000. The workshop is part of the 21st International Conference on Application and Theory of Petri Nets organised by the CPN group at the Department of Computer Science, University of Aarhus, Denmark. The workshop papers are available in electronic form via the web pages: http://www.daimi.au.dk/pn2000/proceeding

Ninth Workshop and Tutorial on Practical Use of Coloured Petri Nets and the CPN Tools, Aarhus, Denmark, October 20-22, 2008

This booklet contains the proceedings of the Ninth Workshop on Practical Use of Coloured Petri Nets and the CPN Tools, October 20-22, 2008. The workshop is organised by the CPN group at the Department of Computer Science, University of Aarhus, Denmark. The papers are also available in electronic form via the web pages: http://www.daimi.au.dk/CPnets/workshop0

Causality-based verification

Program verification is one of the central research topics in computer science since its inception – we can consider the field to be initiated as early as in 1949, with Alan Turing’s pioneering paper “Checking a Large Routine.” Yet, we are still far from the dream of automatically proving every computer program correct. Two aspects make this problem particularly challenging: concurrent program execution on parallel processors, and large, or even infinite, state spaces of data-manipulating programs. Nowadays, with concurrency entering everywhere, from smartphones to aircrafts, proving the correctness of infinite-state concurrent programs becomes increasingly more important: we do want to be sure that the program that controls the airplane we are flying in is correct. In this thesis we propose a new approach to the verification of infinitestate concurrent programs. We call it causality-based, because it captures in an automatic proof system the “cause-effect” reasoning principles, which are often used informally in manual correctness proofs. While traditionally automatic methods are based on the state space exploration, our method is based on a new concurrency model, called concurrent traces, which are the abstractions of the history of a concurrent program to some key events and the relationships between them. Causality-based proof rules relate concurrent traces with each other, by formally tracking what are the necessary consequences (the “effects”) from a particular analysis situation (the “cause”). The full correctness proof is then a composition of such primitive proof steps. We study the syntactic and language-based properties of concurrent traces, and characterize the complexity of such operations as emptiness checking and language inclusion. Regarding the program correctness, we develop proof systems for the broad classes of safety and liveness properties, and provide algorithms for the automatic construction of correctness proofs. We demonstrate that for practically relevant classes of programs, such as multi-threaded programs with binary semaphores, the constructed proofs are of polynomial size, and can be also checked in polynomial time. The methods of the thesis have been implemented in Arctor, the first scalable termination prover for concurrent programs, which is able to handle programs with hundreds of non-trivial threads.Die Programmverifikation ist seit den Anfängen der Informatik eines ihrer zentralen Forschungsfelder. Als Beginn dieser Forschungsrichtung kann bereits das Jahr 1949 betrachtet werden, in dem Alan Turings bahnbrechende Arbeit “Checking a Large Routine” erschien. Der Traum, die Korrektheit von Programmen stets automatisch beweisen zu können, ist aber auch heute noch weit davon entfernt, Realität zu sein. Es gibt zwei Aspekte, die dieses Problem zu einer solch großen Herausforderung machen: die nebenläufige Ausführung von Programmen auf Parallelrechnern, und die großen, oder sogar unendlichen, Zustandsräume von datenverarbeitenden Programmen. Nebenläufige Programme werden in immer mehr Anwendungsbereichen, von Handys bis zur Luftfahrt, eingesetzt. Automatische Korrektheitsbeweise werden daher immer wichtiger: wenn wir mit dem Flugzeug reisen, möchten wir sicher sein, dass das Programm, das das Flugzeug steuert, auch tatsachlich korrekt ist. In dieser Arbeit schlagen wir einen neuen Ansatz für die Verifikation von nebenläufigen Programmen mit unendlichem Zustandsraum vor. Wir nennen den Ansatz “kausalitätsbasiert”, weil er im Rahmen eines automatischen Beweissystems die “Ursache-Wirkung”-Beziehungen erfasst, die sonst eher informell in manuellen Korrektheitsbeweisen benutzt werden. Anders als traditionelle automatische Methoden, die den Zustandsraums explorieren, baut unser Ansatz auf einem neuen nebenläufigen Berechnungsmodell, dem der “nebenläufigen Spuren”, auf. Eine nebenläufige Spur ist eine Abstraktion der Vergangenheit eines nebenläufigen Programms im Hinblick auf bestimmte Schlüsselereignisse und die Beziehungen zwischen diesen Ereignissen. Kausalitätsbasierte Beweis-regeln setzen nebenläufige Spuren zueinander in Bezug, indem die Konsequenzen (die “Wirkungen”) einer bestimmten analytischen Situation (der “Ursache”) auf eine formale Art und Weise verfolgt werden. Der vollständige Korrektheitsbeweis setzt sich dann aus solchen einfachen Beweisschritten zusammen. Wir untersuchen die syntaktischen und sprachtheoretischen Eigenschaften von nebenläufigen Spuren, und charakterisieren die Komplexität von Operationen wie den Tests auf leere Sprache und Sprachinklusion. Wir entwickeln Beweissysteme zum Nachweis der Programmkorrektheit für die allgemeinen Klassen der Sicherheits- und Lebendigkeitseigenschaften, und stellen Algorithmen vor, die solche Beweise automatisch konstruieren. Für aus praktischer Sicht relevante Klassen von Programmen, wie Multi-Thread Programme mit binären Semaphoren, zeigen wir, dass die konstruierten Beweise polynomiell groß sind und auch in polynomieller Zeit geprüft werden können. Die in der Arbeit vorgestellten Methoden wurden im Verifikationswerkzeug Arctor implementiert. Arctor is der erste skalierbare Terminierungsbeweiser für nebenläufige Programme. Arctor kann Programme mit Hunderten nicht-trivialer Threads verarbeiten