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On automaton determinisation of sets of superwords. (English. Russian original) Zbl 1121.68070
Discrete Math. Appl. 16, No. 3, 229-243 (2006); translation from Diskretn. Mat. 18, No. 2, 84-97 (2006).
Summary: We introduce the concept of a determinising automaton which, for every superword taken from a given set fed into its input, beginning with some step, at any time \(t\) yields the value of the input word at time \(t + 1\), that is, predicts the input superword. We find a criterion whether a given set of superwords is determinisable, that is, whether for the set there exists a automaton determinization. We give the best (in some sense) method to design a determinising automaton for an arbitrary determinisable set of superwords. For some determinisable sets we present optimal and asymptotically optimal determinising automata.

MSC:
68Q45 Formal languages and automata
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