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J. Found. Comput. Sci."],"published-print":{"date-parts":[[2020,11]]},"abstract":"<jats:p>Diagnosability is an important factor in multiple-processor systems defined as the maximum number of faulty nodes that a system can recognize. In this paper, we propose a new form of diagnosability called non-inclusive diagnosability that requires all faulty sets to be non-inclusive. 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