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The complexity of checking the existence and derivation of adaptive synchronizing experiments for deterministic FSMs H. Yenigün, N. Yevtushenko, N. Kushik

By: Yenigün, HüsnüContributor(s): Yevtushenko, Nina V | Kushik, Natalia GMaterial type: ArticleArticleSubject(s): детерминированные конечные машины | синхронизирующие последовательностиGenre/Form: статьи в журналах Online resources: Click here to access online In: Information processing letters Vol. 127. P. 49-53Abstract: In this paper, we address the problem of setting a deterministic Finite State Machine (FSM) to a designated initial state. Differently from other papers, we propose to use adaptive synchronizing sequences (test cases) for this purpose and show that for weakly-connected deterministic complete reduced FSMs the problem of checking the existence of an adaptive synchronizing sequence is in P. For partial deterministic reduced FSMs the problem is PSPACE-complete.
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In this paper, we address the problem of setting a deterministic Finite State Machine (FSM) to a designated initial state. Differently from other papers, we propose to use adaptive synchronizing sequences (test cases) for this purpose and show that for weakly-connected deterministic complete reduced FSMs the problem of checking the existence of an adaptive synchronizing sequence is in P. For partial deterministic reduced FSMs the problem is PSPACE-complete.

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