If the regular expressions of elements of a sequence are represented by DFAs M1,M2,…Mn, then the sequence is represented by connecting the DFAs. The accept state of one DFA connects to the start state of the following DFA using a ε transition.
In other words, if Ai represent the set of accept states of machine Mi, and si represent the start state of machine Mi, then ∀i ∈ [1…n− 1],ai ∈ Ai : T(ai,ε) = si+1. s1 serves as the start state of the composite automata, where as An serves as the set of accept states of the composite automata.