Abstract:The purpose of testing a system with respect to a requirement is to refute the hypothesis that the system satisfies the requirement. We build a theory of tests and refutation based on the elementary notions of satisfaction and refinement. We use this theory to characterize the requirements that can be refuted through black-box testing and, dually, verified through such tests. We consider refutation in finite time and obtain the finite falsifiability of hyper-safety temporal requirements as a special case. We e… Show more
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