Approximate Model Checking of Real-Time Systems for Linear Duration Invariants

Real-time systems are usually modelled with timed automata and real-time requirements relating to the state durations of the system are often specifiable using Linear Duration Invariants, which is a decidable subclass of Duration Calculus formulas. Various algorithms have been developed to check timed automata or real-time automata for linear duration invariants, but each needs complicated preprocessing and exponential calculation. To the best of our knowledge, these algorithms have not been implemented. In this paper, we present an approximate model checking technique based on a genetic algorithm to check real-time automata for linear durration invariants in reasonable times. Genetic algorithm is a good optimization method when a problem needs massive computation and it works particularly well in our case because the fitness function which is derived from the linear duration invariant is linear. ACM Computing Classification System (1998): D.2.4, C.3

A Model Checking Procedure for Interval Temporal Logics based on Track Representatives

Model checking is commonly recognized as one of the most effective tools for system verification. While it has been systematically investigated in the context of classical, point-based temporal logics, it is still largely unexplored in the interval logic setting. Recently, a non-elementary model checking algorithm for Halpern and Shoham\u2019s modal logic of time intervals HS, interpreted over finite Kripke structures, has been proposed, together with a proof of the EXPSPACE-hardness of the problem. In this paper, we devise an EXPSPACE model checking procedure for two meaningful HS fragments. It exploits a suitable contraction technique that allows one to replace sufficiently long tracks of a Kripke structure by equivalent shorter ones

A Road Map of Interval Temporal Logics and Duration Calculi

We survey main developments, results, and open problems on interval temporal logics and duration calculi. We present various formal systems studied in the literature and discuss their distinctive features, emphasizing on expressiveness, axiomatic systems, and (un)decidability results

Modeling and checking Real-Time system designs

Real-time systems are found in an increasing variety of application fields. Usually, they are embedded systems controlling devices that may risk lives or damage properties: they are safety critical systems. Hard Real-Time requirements (late means wrong) make the development of such kind of systems a formidable and daunting task. The need to predict temporal behavior of critical real-time systems has encouraged the development of an useful collection of models, results and tools for analyzing schedulability of applications (e.g., [log]). However, there is no general analytical support for verifying other kind of high level timing requirements on complex software architectures. On the other hand, the verification of specifications and designs of real-time systems has been considered an interesting application field for automatic analysis techniques such as model-checking. Unfortunately, there is a natural trade-off between sophistication of supported features and the practicality of formal analysis. To cope with the challenges of formal analysis real-time system designs we focus on three aspects that, we believe, are fundamental to get practical tools: model-generation, modelreduction and model-checking. Then, firstly, we extend our ideas presented in [30] and develop an automatic approach to model and verify designs of real-time systems for complex timing requirements based on scheduling theory and timed automata theory [7] (a wellknown and studied formalism to model and verify timed systems). That is, to enhance practicality of formal analysis, we focus our analysis on designs adhering to Fixed-Priority scheduling. In essence, we exploit known scheduling theory to automatically derive simple and compositional formal models. To the best of our knowledge, this is the first proposal to integrate scheduling theory into the framework of automatic formal verification. To model such systems, we present I/O Timed Components, a notion and discipline to build non-blocking live timed systems. I/O Timed Components, which are build on top of Timed Automata, provide other important methodological advantages like influence detection or compositional reasoning. Secondly, we provide a battery of automatic and rather generic abstraction techniques that, given a requirement to be analyzed, reduces the model while preserving the relevant behaviors to check it. Thus, we do not feed the verification tools with the whole model as previous formal approaches. To provide arguments about the correctness of those abstractions, we present a notion of Continuous Observational Bismulation that is weaker than strong timed bisimulation yet preserving many well-known logics for timed systems like TCTL [3]. Finally, since we choose timed automata as formal kernel, we adapt and apply their deeply studied and developed analysis theory, as well as their practical tools. Moreover, we also describe from scratch an algorithm to model-check duration properties, a feature that is not addressed by available tools. That algorithm extends the one presented in [28].Fil:Braberman, Víctor Adrián. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina

A verification system for interval-based specification languages with its application to simulink

Ph.DDOCTOR OF PHILOSOPH