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中文摘要：
模型检验和精化检验是两种重要的形式验证方法,其应用的主要困难在于如何缓解状态爆炸问题.基于分而治之的思想进行组合模型检验和组合精化检验是应对这个问题的重要方法,它们利用系统的组合结构对问题进行分解,通过对各子系统性质的检验和综合推理导出整个系统的性质.在一个统一的框架下对组合模型检验和组合精化检验作了系统的分析和归纳,从模块检验的角度阐述了上述两种组合验证方法的原理及其相应的组合验证策略.同时总结了各类问题的复杂性,并对上述两种方法作了比较分析,揭示了它们之间的内在联系.最后展望了组合模型检验与组合精化检验的发展方向.
英文摘要：
Model checking and refinement checking are two approaches to formal verification, whose difficulties are due to the state explosion problem. As one of the proposed solutions to the problem, it is suggested to introduce compositionality in model checking and refinement checking based on the idea of divide-and-conquer, by which the verification task of the whole system is decomposed to several smaller subtasks on the subsystems. In a uniform framework, this paper surveys the approaches of compositional model checking and compositional refinement checking in a systematic way. From the perspective of module checking, the principle and verification strategies of the two compositional verification approaches are introduced. In addition, the complexities of various kinds of related problems are summarized and a comparison is made between compositional model checking and compositional refinement checking, which exposes the intrinsic relation between them. Finally, some trends are given for the future research.
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