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Maximal Synthesis for Hennessy-Milner Logic

机译:Hennessy-Milner逻辑的极大综合

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摘要

We present a solution for the synthesis on Kripke structures with labelled transitions, with respect to Hennessy-Milner Logic. This encompasses the definition of a theoretical framework that is able to express how such a transition system should be modified in order to satisfy a given HMLformula. The transition system is mapped under bisimulation equivalence onto a recursive structure, thereby unfolding up to the applicable reach of a given HML-formula. Operational rules define the required adaptations to ensure validity upon this structure. Synthesis might result in multiple valid adaptations which are all related to the original transition system via simulation. The set of synthesized products contains an outcome which is maximal with respect to all deterministic simulants which satisfy the HML-formula.
机译:我们提出了一个关于Hennessy-Milner逻辑的具有标记跃迁的Kripke结构的合成方案。这包含了一个理论框架的定义,该框架能够表达如何修改此类过渡系统,以满足给定的HML公式。过渡系统在互模拟等价下映射到递归结构上,从而展开到给定HML公式的适用范围。操作规则定义了确保该结构有效性所需的调整。通过模拟,综合可能会产生多个有效的适应性,这些适应性都与原始过渡系统有关。合成产物集包含一个结果,该结果相对于满足HML公式的所有确定性模拟物而言是最大的。

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