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A polynomial time algorithm for the local testability problem of deterministic finite automata

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3 Author(s)
Kim, Sam M. ; Dept. of Comput. Sci., Rensselaer Polytech. Inst., Troy, NY, USA ; McNaughton, R. ; McCloskey, R.

The local testability problem of deterministic finite automata is investigated. A locally testable language is a language with the property that, for some nonnegative integer k, whether or not a word w is in the language depends on (1) the prefix and suffix of w of length k, and (2) the set of substrings of w length k+1, without regard to the order in which these substrings occur. The local testability problem is, given a deterministic finite automation, to decide whether or not it accepts a locally testable language. The authors present an O(n 2) time algorithm for the local testability problem based on two simple properties that characterize locally testable automata

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Computers, IEEE Transactions on  (Volume:40 ,  Issue: 10 )