| R. A. Trakhtenbrot and Y. M. Barzdin. Finite Automata: Behavior and Sythesis. North-Holland, 1973. |
....is a word w such that w (A) B. Now suppose we reverse all transitions in A. In rev(A) for any B [n] there is a word w such that w (f1g) B. Indeed, if we augment the semiautomaton rev(A) 1 by selecting 1 as initial and nal state, the corresponding power automaton has size 2 n , see [19, 3], and this power automaton turns out to be reduced. The same is true if we select all states to be initial and nal. However, the semiautomaton rev(A) is transitive (i.e. the underlying digraph is strongly connected) whereas its power automaton has 3 strongly connected components: n] and the ....
R. A. Trakhtenbrot and Y. M. Barzdin. Finite Automata: Behavior and Sythesis. North-Holland, 1973.
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R. A. Trakhtenbrot and Y. M. Barzdin. Finite Automata: Behavior and Sythesis. North-Holland, 1973.
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