Question: Consider a nondeterministic finite automaton M1 = (Q, , , q0, F1). Define a (new) nondeterministic finite automaton M2 = (Q, , , q0, F2)

Consider a nondeterministic finite automaton M1 = (Q, , , q0, F1). Define a (new) nondeterministic finite automaton M2 = (Q, , , q0, F2) with F2 = Q F

Prove, or disprove (with explicit counter-example and detailed explanation), the following statement: the language L(M2) is the complement of the language L(M1) (that is, L(M2) = L(M1)).

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