We present a compositional semantics and analysis framework for hierarchical block diagrams (HBDs) in terms of atomic and composite predicate transformers. Our framework consists of two components: (1) a compiler that translates Simulink HBDs into an algebra of transformers composed in series, in parallel, and in feedback; (2) an implementation of the theory of transformers and static analysis techniques for them in Isabelle. We evaluate our framework on several case studies including a benchmark Simulink model by Toyota.
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