Analysis and Proofs Sample Clauses

Analysis and Proofs. ‌ Our first concern for analysis is to validate properties of the master algorithm implementation. We note that functional properties of co-simulations are addressed in INTO-CPS Deliverable D2.3a. Secondly, we can prove that our model is divergence free. Reactive contracts allow us to directly express this property, via the pre-condition of a reactive design that corresponds to the master algorithm. More precisely, we write this as a conjecture pre(P ) for some Circus process P ; the distribution laws for pre(P ), described in INTO-CPS Deliverable D2.3b allows us then to evaluate and prove this conjecture in Isabelle/UTP. Thirdly, concrete master algorithms must be a refinement of our abstract MA model in Section 3.1. To show this, we use refinement laws of Circus that we have mechanised in Isabelle/UTP. The proof is facilitated here by the fact that our concrete model aggregates the abstract model while imposing additional constraints, but in general our technique is not constrained to a particular shape of a master algorithm: the developer is free to propose and validate his own implementations. Discharging the abovementioned refinement proof establishes that the con- crete MA is conformant with our abstract model, and hence the FMI speci- fication and standard.
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