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

Time in SCCharts

Synchronous languages, such as the recently proposed SCCharts language, have been designed for the rigorous specification of real-time systems. Their sound semantics, which builds on an abstraction from physical execution time, make these languages appealing, in particular for safety-critical systems. However, they traditionally lack built-in support for physical time. This makes it rather cumbersome to express things like time-outs or periodic executions within the language. We here propose several mechanisms to reconcile the synchronous paradigm with physical time. Specifically, we propose extensions to the SCCharts language to express clocks and execution periods within the model. We draw on several sources, in particular timed automata, the Clock Constraint Specification Language, and the recently proposed concept of dynamic ticks. We illustrate how these extensions can be mapped to the SCChart language core, with minimal requirements on the run-time system, and we argue that the same concepts could be applied to other synchronous languages such as Esterel, Lustre or SCADE

Correctness Issues on MARTE/CCSL constraints

International audienceThe UML Profile for Modeling and Analysis of Real-Time and Embedded systems promises a general modeling framework to design and analyze systems. Lots of works have been published on the modeling capabilities offered by MARTE, much less on available verification techniques. The Clock Constraint Specification Language (CCSL), first introduced as a companion language for MARTE, was devised to offer a formal support to conduct causal and temporal analysis on MARTE models.This work relies on a state-based semantics for CCSL to establish correctness properties on MARTE/CCSL specifications. We propose and compare two different techniques to build the state-space of a specification. One is an extension of some previous work and is based on extended finite state machines. It relies on integer linear programming to solve the constraints and reduce the state-space. The other one is based on an intentional representation and uses pure Boolean abstractions but offers no guarantee to terminate when the specification is not safe.The approach is illustrated on one simple example where the architecture plays an important role. We describe a process where the logical description of the application is progressively refined to take into account the execution platform through allocation

Explicit Control of Dataflow Graphs with MARTE/CCSL

International audienceProcess Networks are a means to describe streaming embedded applications. They rely on explicit representation of task concurrency, pipeline and data-flow. Originally, Data-Flow Process Network (DFPN) representations are independent from any execution platform support model. Such independence is actually what allows looking next for adequate mappings. Mapping deals with scheduling and distribution of computation tasks onto processing resources, but also distribution of communications to interconnects and memory resources. This design approach requires a level of description of execution platforms that is both accurate and simple. Recent platforms are composed of repeated elements with global interconnection (GPU, MPPA). A parametric description could help achieving both requirements. Then, we argue that a model-driven engineering approach may allow to unfold and expand an original DFPN model, in our case a so-called Synchronous DataFlow graph (SDF) into a model such that: a) the original description is a quotient refolding of the expanded one, and b) the mapping to a platform model is a grouping of tasks according to their resource allocation. Then, given such unfolding, we consider how to express the allocation and the real-time constraints. We do this by capturing the entire system in CCSL (Clock Constraint Specification Language). CCSL allows to capture linear but also synchronous constraints. Lastly, the system can be checked for the existence of a schedule satisfying all the constraints using a state space exploration technique. The approach is validated on a typical embedded system application allocated on a multi-core platform

Embedding CCSL into Dynamic Logic: A Logical Approach for the Verification of CCSL Specifications

International audienceThe Clock Constraint Specification Language (CCSL) is a clock-based specification language for capturing causal and chronometric constraints between events in Real-Time Embedded Systems (RTESs). Due to the limitations of the existing verification approaches, CCSL lacks a full verification support for 'unsafe CCSL specifications' and a unified proof framework. In this paper, we propose a novel verification approach based on theorem proving and SMT-checking. We firstly build a logic called CCSL Dynamic Logic (CDL), which extends the traditional dynamic logic with 'signals' and 'clock relations' as primitives, and with synchronous execution mechanism for modelling RTESs. Then we propose a sound and relatively complete proof system for CDL to provide the verification support. We show how CDL can be used to capture RTES and verify CCSL specifications by analyzing a simple case study

MARTE/pCCSL: Modeling and Refining Stochastic Behaviors of CPSs with Probabilistic Logical Clocks

Best Paper AwardInternational audienceCyber-Physical Systems (CPSs) are networks of heterogeneous embedded systems immersed within a physical environment. Several ad-hoc frameworks and mathematical models have been studied to deal with challenging issues raised by CPSs. In this paper, we explore a more standard-based approach that relies on SysML/MARTE to capture different aspects of CPSs, including structure, behaviors, clock constraints, and non-functional properties. The novelty of our work lies in the use of logical clocks and MARTE/CCSL to drive and coordinate different models. Meanwhile, to capture stochastic behaviors of CPSs, we propose an extension of CCSL, called pCCSL, where logical clocks are adorned with stochastic properties. Possible variants are explored using Statistical Model Checking (SMC) via a transformation from the MARTE/pCCSL models into Stochastic Hybrid Automata. The whole process is illustrated through a case study of energy-aware building, in which the system is modeled by SysML/MARTE/pCCSL and different variants are explored through SMC to help expose the best alternative solutions

Verifying MARTE/CCSL Mode Behaviors Using UPPAAL

International audienceIn the development of safety-critical embedded systems, the ability to formally analyze system behavior models, based on timing and causality, helps the designer to get insight into the systems overall timing behavior. To support the design and analysis of real-time embedded systems, the UML modeling profile MARTE provides CCSL - a time model and a clock constraint specification language. CCSL is an expressive language that supports specification of both logical and chronometric constraints for MARTE models. On the other hand, semantic frameworks such as timed automata provide verification support for real-time systems. To address the challenge of verifying CCSL-based behavior models, in this paper, we propose a technique for transforming MARTE/CCSL mode behaviors into Timed Automata for model-checking using the UPPAAL tool. This enables verification of both logical and chronometric properties of the system, which has not been possible before. We demonstrate the proposed transformation and verification approach using two relevant examples of real-time embedded systems

A clock-based dynamic logic for the verification of CCSL specifications in synchronous systems

International audienceThe Clock Constraint Specification Language (CCSL) is a clock-based specification language for real-time embedded systems. With logical clocks defined as first-class citizens, CCSL provides a natural way for describing clock constraints in synchronous systems — a classical model of concurrency for real-time embedded systems. In this paper, we propose a clock-based dynamic logic called CCSL Dynamic Logic (CDL) for the verification of CCSL specifications in synchronous systems. It extends the first-order dynamic logic with a synchronous execution mechanism in its program model and with CCSL primitives as terms in its logical formulae. We build a sound and relatively complete proof system for CDL to support the verification. Compared with previous approaches for verifying CCSL specifications, which are based on model checking and SMT checking techniques, our approach, which is based on theorem-proving, offers a unified verification framework in which both bounded and unbounded CCSL specifications can be verified. Technically, with the proof system of CDL, a complex CDL formula can be semi-automatically transformed into a set of quantifier-free, arithmetical first-order logic (QF-AFOL) formulae which can be checked by an SMT solver in an efficient way. As a case study, we analyze a simple synchronous system throughout the paper to illustrate how CDL works. We analyze and prove the soundness and completeness of the proof system for CDL. Currently, CDL is partially mechanized in Coq

Conception et vérification d'exigences de sûreté temporisées à base de contrats dans les modèles SysML

De nos jours, les systèmes informatiques croissent en taille et en complexité. Intégrés dans des dispositifs de différents domaines tels que l'avionique, l'aéronautique, l'électronique grand public, etc., ils sont souvent considérés comme critiques à l'égard de la vie humaine, des coûts et de l'environnement. Concevoir des systèmes embarqués temps-réel critiques sûrs et fiables est une tâche difficile, étant donné que leurs modèles sont souvent source d'erreurs. Une façon pour les concepteurs de contourner cette difficulté consiste à s'appuyer sur la modélisation compositionnelle de composants logiciels pilotée par les exigences. Le raisonnement à base de contrats permet de construire des composants sûrs à partir des exigences globales du système en interposant des spécifications abstraites et partielles entre les besoins du système et les composants eux-mêmes. Informellement, un contrat modélise le comportement abstrait d'un composant du point de vue de l'exigence à satisfaire (c.a.d garantie) dans un contexte donné (c.a.d. hypothèse). Les contrats peuvent être exploités pour décomposer et tracer les exigences au cours d'un développement itératif, mais aussi pour effectuer une vérification compositionnelle de la satisfaction des exigences. Dans cette thèse, nous présentons une méthodologie de raisonnement à base de contrats pour la conception et la vérification de systèmes sûrs développés en SysML. Ainsi, nous définissons en UML/SysML la syntaxe des contrats et des relations de raffinement entre contrats et/ou composants qui sont utilisées pour prouver la correction du système par rapport aux exigences. Ensuite, nous proposons un cadre formel qui modélise la sémantique d'un modèle UML/SysML étendu par des contrats selon une variante d'automates temporisés entrée/sortie et nous définissons la correspondance entre ces concepts. Nous formalisons les relations de raffinement par la relation d'inclusion de traces et nous prouvons leurs propriétés compositionnelles ce qui assure la correction de la méthodologie. L'approche est instanciée pour le profil OMEGA et la boîte à outils IFx2 qui génère partiellement les obligations de preuve. Finalement, plusieurs études de cas dont une issue de l'industrie complètent la théorie pour évaluer l'approche à base de contrats et ses résultats et les comparer aux méthodes classiques de model-checking.Nowadays computer systems grow larger in size and more complex. Embedded in devices from different domains like avionics, aeronautics, consumer electronics, etc., they are often considered critical with respect to human life, costs and environment. A development that results in safe and reliable critical real-time embedded systems is a challenging task, considering that errors are accidentally inserted in the design. A way for system designers to tackle this issue is to use a compositional design technique based on components and driven by requirements: it allows to infer from global requirements, component properties that must locally hold. Contract-based reasoning allows to compositionally derive correct components from global system requirements by interposing abstract and partial specifications for components. Informally, a contract models the abstract behavior a component exhibits from the point of view of the requirement to be satisfied (i.e. guarantee) in a given context (i.e. assumption). Contracts can be used to decompose and trace requirements during iterative design, but also to perform compositional verification of requirement satisfaction. In this thesis, we present a methodology for reasoning with contracts during system design and verification within SysML. Thus, we define the syntax for contracts in UML/SysML, as well as a set of refinement relations between contracts and/or components in order to prove the system's correctness with respect to requirements. Next, we provide a formal framework that models the semantics of a UML/SysML model extended with contracts as a mapping of the language concepts to a variant of Timed Input/Output Automata. The refinement relations are formalized based on the trace inclusion relation and compositional properties are proved to hold which ensures the soundness of the methodology. The approach is instantiated for the OMEGA Profile and IFx2 toolset with partial automatic generation of proof obligations. Finally, the approach is applied on several case studies, including an industry-grade system model, which show its efficiency by comparative verification results