The size of subsequence automaton

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The Size of Subsequence Automaton

Given a set of strings, the subsequence automaton accepts all subsequences of these strings. We derive a lower bound for the maximum number of states of this automaton. We prove that the size of the subsequence automaton for a set of k strings of length n is (nk/(k + 1)kk!) for any k 1. It solves an open problem because only the case k 2 was shown before. © 2005 Elsevier B.V. All rights reserved.

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ژورنال

عنوان ژورنال: Theoretical Computer Science

سال: 2005

ISSN: 0304-3975

DOI: 10.1016/j.tcs.2005.03.027