One of the strengths of using a stream X-machine to specify a system is that, under certain well defined conditions, it is possible to produce a test set that is guaranteed to determine the correctness of the implementation. This testing method assumes that the processing functions are correctly implemented, therefore it only tests the integration of the processing functions implementations into the system implementation. This paper uses a case study to illustrate how this method can be extended so that it will no longer require the implementations of the processing functions to be proved correct before the actual system testing can take place. Instead, the testing of the processing functions is performed along with the integration testing.
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The aim of this paper is to show how the P systems with replicated rewriting can be modeled by X-machines (also called Eilenberg machines). In the first approach, the parallel behaviour of the regions of a P system is simulated by a sequential process involving a single X-machine. This allows the application of the X-machine testing procedures in order to prove the correctness of P systems. In the second approach, a P system is simulated by a communicating system of X-machines. Each component of such a system is an X-machine associated with a region of the given P system. The components act in parallel, as their counterparts do in a P system, and use some specific mechanism for communication and synchronisation.
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