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Skeleton Abstraction for Universal Temporal Properties

机译:通用时间特性的骨架抽象

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摘要

Uniform coloured Petri nets can be abstracted to their skeleton, the place/transition net that simply turns the coloured tokens into black tokens. A coloured net and its skeleton are related by a net mor-phism [Des91,PGE98]. For the application of the skeleton as an abstraction method in the model checking process, we need to establish a simulation relation [Mil89] between the state spaces of the two nets. Then, universal temporal properties (properties of the ACTL* logic) are preserved. The abstraction relation induced by a net morphism is not necessarily a simulation relation, due to a subtle issue related to deadlocks [Fin92]. We discuss several situations where the abstraction relation induced by a net morphism is as well a simulation relation, thus preserving ACTL* properties. We further propose a partition refinement algorithm for folding a place/transition net into a coloured net. This way, skeleton abstraction becomes available for models given as place/transition nets. Experiments demonstrate the capabilities of the proposed technology. Using skeleton abstraction, we are capable of solving problems that have not been solved before in the Model Checking Contest [KGH+19].
机译:均匀的彩色培养网可以向他们的骨架抽象,地点/过渡网,只需将彩色代币变成黑色令牌。彩网及其骨架由净Mor-phism [des91,pge98]相关。对于在模型检查过程中将骨架作为抽象方法的应用,我们需要在两个网的状态空间之间建立模拟关系[mil89]。然后,保留通用时间特性(Actl *逻辑的属性)。由于与死锁[FIN92]相​​关的微妙问题,净态态引起的抽象关系不一定是模拟关系。我们讨论净态态引起的抽象关系以及模拟关系,从而保留了actl *属性。我们进一步提出了一种用于将地点/过渡网折叠成彩色网的分区细化算法。这样,骨架抽象可用于作为地点/转换网的模型可用。实验证明了所提出的技术的能力。使用骨架抽象,我们能够在模型检查比赛[KGH + 19]之前解决尚未解决的问题。

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