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.