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- W2022386943 abstract "We consider the following generalized notion of synchronization: A word is called a reset word of a subset of states of a deterministic finite automaton if it maps all states of the set to a unique state. It is known that the minimum length of such words is superpolynomial in worst cases, namely in a series of substantially nontransitive automata. We present a series of transitive binary automata with a strongly exponential minimum length. This also constitutes a progress in the research of composition sequences initiated by Arto Salomaa, because reset words of subsets are just a special case of composition sequences. Deciding about the existence of a reset word for given automaton and subset is known to be a PSPACE-complete problem, we prove that this holds even if we restrict the problem to transitive binary automata." @default.
- W2022386943 created "2016-06-24" @default.
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- W2022386943 date "2014-05-21" @default.
- W2022386943 modified "2023-09-30" @default.
- W2022386943 title "Subset Synchronization of Transitive Automata" @default.
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- W2022386943 doi "https://doi.org/10.4204/eptcs.151.26" @default.
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