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- W2159747538 abstract "We consider the number of states of a DFA that is equivalent to an n-state NFA accepting a finite language. We first give a detailed proof for the case where the finite languages are over a two-letter alphabet. It shows that O(2n/2) is the (worst-case) optimal upper-bound on the number of states of a DFA that is equivalent to an n-state NFA accepting a finite language. The main result of this paper is a generalization of the above result. We show that, for any n-state NFA accepting a finite language over an arbitrary k-letter alphabet, n, k>1, there is an equivalent DFA of $$O(k^{{n mathord{left/{vphantom {n {(log _2 k + 1)}}} right.kern-nulldelimiterspace} {(log _2 k + 1)}}} )$$ states, and show that this bound is optimal in the worst case." @default.
- W2159747538 created "2016-06-24" @default.
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- W2159747538 date "1997-01-01" @default.
- W2159747538 modified "2023-09-23" @default.
- W2159747538 title "NFA to DFA transformation for finite languages" @default.
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- W2159747538 doi "https://doi.org/10.1007/3-540-63174-7_12" @default.
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