Abstract
AbstractSimulink is a widely used tool for modelling, simulating, and analyzing cyber-physical systems using block diagrams. Such diagrams contain both discrete-time and continuous-time blocks. To analyze complex block diagrams, a semantics to support compositional reasoning and verification is required. Contract-based modelling provides good compositional reasoning about complex systems. In this paper, we present a contract-based semantic model for Simulink to formalise the semantics of both discrete-time and continuous-time blocks. In our semantic formalisation, the semantics of a block is defined as a contract, and we define five operations on contracts, which are sequential composition, parallel composition, feedback composition, variable renaming, and variable hiding. We then define the refinement relation among the Simulink diagrams.KeywordsContract-based semanticsCompositional reasoningRefinementSimulink
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