A proposition for the correct by design of abstraction with respect to the simulation objectives based on the concepts of approximate bisimulation, Galois connections and ontology is presented. It addresses the fundamental problem of fidelity in simulation, namely, given a class of models and a class of properties that must be preserved, how to extract modeling abstractions that preserves the properties of interest which allows to conclude about the system being simulated. Fidelity and validity are explained in the framework of the experimental frame and discussed in the context of modeling abstractions. A formal method for the fidelity quantification is explained by abstraction inclusion relations for syntactic and semantic compatibility. Abstraction inclusion in dynamic systems for semantic compatibility by approximate bisimulation and the problem of finding surjection maps compatible with simulation objectives are discussed. Syntactic compatibility is explained by ontologies followed by a brief discussion on the Galois connections and building Galois surjections compatible with the simulation objectives at the end.
ions of experimental frame components with respect to simulation objectives are discussed with a hybrid system simulation application. Validity assessment through behavioural compatibility criteria described by the trace inclusion framework is given. The simulation objectives are associated with modelling abstractions by such a framework and described in established modeling & simulation framework. Consistent abstractions from hierarchically ordered posets for stimulant and observer models in experimental frame are discussed. A landing gear example is taken and testability through primary experimental frame component abstractions was observed for the given simulation requirements. The formal framework under development is briefly discussed at the end in the context of applicability and derivability of experimental frame and fidelity of simulation.
Informal validation techniques such as simulation are extensively used in the development of embedded systems. Formal approaches such as model-checking and testing are important means to carry out Verification and Validation (V&V) activities. Model-checking consists in exploring all possible behaviours of a model in order to perform a qualitative and quantitative analysis. However, this method remains of limited use as it runs into the problem of combinatorial explosion. Testing and model-checking do not take into account the context of use objectives of the model. Simulation overcomes these problems but it is not exhaustive. Submitted to simulation scenarios which are an operational formulation of the V&V activity considered, simulation consists in exploring a subset of the state space of the model. This paper proposes a formal approach to assess simulation scenarios. The formal specification of a model and the simulation scenarios applied to that model serve to compute the effective evolutions taken by the simulation. It is then possible to check whether a simulation fulfils its intended purpose. To illustrate this approach, the application study of an intelligent cruise controller is presented. The main contribution of this paper is that combining simulation objectives and formal methods leads to define a qualitative metric for a simulation evaluation without running a simulation.
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