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Combined Bounded and Symbolic Model Checking for Incomplete Timed Systems

机译:不完整定时系统的组合有界和符号模型检查

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We present a hybrid model checking algorithm for incomplete timed systems where parts of the system are unspecified (so-called black boxes). Here, we answer the question of unrealisability, i.e., "Is there a path violating a safety property regardless of the implementation of the black boxes?" Existing bounded model checking (BMC) approaches for incomplete timed systems exploit the power of modern SMT solvers, but might be too coarse as an abstraction for certain problem instances. On the other hand, symbolic model checking (SMC) for incomplete timed systems is more accurate, but may fail due to the size of the explored state space. In this work, we propose a tight integration of a backward SMC routine with a forward BMC procedure leveraging the strengths of both worlds. The symbolic model checker is hereby used to compute an enlarged target which we then try to hit using BMC. We use learning strategies to guide the SMT solver's search into the right direction and manipulate the enlarged target to improve the overall accuracy of the current verification run. Our experimental results show that the hybrid approach is able to verify incomplete timed systems which are out of the scope for BMC and can neither be solved in reasonable time using SMC. Furthermore, our approach compares favourably with UPPAAL-TIGA when considering timed games as a special case of the unrealisability problem.
机译:我们提出了一种不完整定时系统的混合模型检查算法,该系统中未指定系统的各个部分(所谓的黑匣子)。在这里,我们回答不可重复性的问题,即“是否存在违反安全属性的路径,而与实施黑匣子无关?”现有的不完整定时系统的有界模型检查(BMC)方法利用了现代SMT求解器的功能,但对于某些问题实例而言,它可能过于抽象。另一方面,不完整定时系统的符号模型检查(SMC)更准确,但是由于探索的状态空间的大小而可能失败。在这项工作中,我们建议利用两个世界的优势,将反向SMC例程与正向BMC程序紧密集成。因此,符号模型检查器用于计算扩大的目标,然后我们尝试使用BMC对其进行打击。我们使用学习策略指导SMT求解器向正确的方向搜索,并操纵扩大的目标以提高当前验证运行的整体准确性。我们的实验结果表明,混合方法能够验证不完整的定时系统,该系统超出了BMC的范围,并且无法在合理的时间内使用SMC解决。此外,当将定时游戏视为不可重复性问题的特例时,我们的方法与UPPAAL-TIGA相比具有优势。

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