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    Formal Specification and Runtime Verification of Parallel Systems using Interval Temporal Logic (ITL)

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    Runtime Verification (RV) is the discipline that allows monitoring systems at runtime in order to check the satisfaction or violation of a given correctness property. Parallel systems are more complicated than sequential systems. Therefore, systems that run in parallel need a parallel runtime verification framework to monitor their behaviour and guarantee correctness properties. Parallel systems have correctness properties different from correctness properties of sequential systems. For instance, as a correctness property of parallel systems, absence of deadlock has to be guaranteed and mutual exclusion mechanism has to be applied in case a resource is shared between more than one system and the parallelism form is true concurrency. Therefore, sequential runtime verification framework can not handle systems that run in parallel due to the singularity issue of this kind of framework as they are built to handle a single system at a time, whereas for parallel systems a framework has to handle many systems at a time. AnaTempura is a runtime verification tool which can handle single systems at a time. To solve this problem, I evolved AnaTempura to be able to handle parallel systems. In this thesis, I propose a Parallel Runtime Verification Framework (PRVF) that can handle systems which use architectures of parallelism in their design such as multi-core processor architecture. The proposed model can check system behaviour at runtime in order to either guarantee satisfaction or detect violations of correctness properties. My technique is based on Interval Temporal Logic (ITL) and its executable subset Tempura to verify properties at runtime using the AnaTempura tool. I use, as a demonstration, the case study of private L2 cache memory of multi-core processor architecture. My objectives are to i) design MSI protocol compliant with cache memory coherence and ii) fulfil main memory consistency model at runtime. I achieve this via a formal Tempura specification of the cache controller which is then verified at runtime against my objectives for memory consistency and cache coherence using AnaTempura. The presented specifications allow to extend it allow to extend it to not only capture correctness but also monitor the performance of a cache memory controller. The case study is then evaluated via integrating AnaTempura with MATLAB in order to check correctness properties such as memory consistency and cache coherence
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