Let M1 and M2 be DFAs that have k1 and k2 states,

Chapter , Problem 1.72

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Let M1 and M2 be DFAs that have k1 and k2 states, respectively, and then let U = L(M1) L(M2). a. Show that if U 6= , then U contains some string s, where |s| < max(k1,k2). b. Show that if U 6= , then U excludes some string s, where |s| < k1k2.

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