多路决策图与HOL定理相结合的性能证明

Sa'ed Abed, O. Mohamed, G. A. Sammane
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引用次数: 2

摘要

在本文中,我们有兴趣在高阶逻辑中定义一个使用多路决策图(mdg)进行高级模型检查的平台。该平台基于千年发展目标作为有向公式的逻辑表述。DF在HOL定理证明中定义,其中许多排序的一阶逻辑被表征为HOL内置数据类型。然后,定义了HOL推理规则来检验任何有向公式的良构性条件。在此形式化的基础上,将千年发展目标的操作定义为推理规则,并提供了每个操作的一致性和格式良好性证明。最后,给出了一些实验结果来验证MDG-HOL平台的性能。所获得的结果表明,该平台在不牺牲CPU时间和内存使用的情况下提供了相当大的自动化增益。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The performance of combining multiway decision graphs and HOL theorem prover
In this paper, we are interested in defining a platform for high level model checking using multiway decision graphs (MDGs) within high order logic. The platform is based on the logical formulation of an MDG as a directed formulae (DF). The DF is defined in the HOL theorem prover where the many sorted first-order logic is characterized as a HOL built-in data type. Then, the HOL inference rules are defined to check the well-formedness conditions of any directed formula. Based on this formalization, the MDGs operations are defined as inference rules and consistency and well-formedness proof of each operation is provided. Finally, some experimental results are presented to show the performance of the MDG-HOL platform. The obtained results show that this platform offers a considerable gain in terms of automation without sacrificing CPU time and memory usage.
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