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- #1

- Apr 13, 2013

- 3,723

I have a question..

Suppose that we have a finite automaton $A$(deterministic or not) and $L(A)$ the language that it accepts.It interest us to recognize the complement language $L'=(\Sigma^{*}-L(A))$.So,we reverse the states of A as followed:we make the accepting state non-accepting and the non-accepting,accepting,defining in that way a new automaton $B$.Does $B$ accepts the language $L'$,no matter which is the initial automaton $A$?If yes,prove it,else give a counter-example.