Given a deterministic finite-state automaton M = (S, /, f,

Chapter 12, Problem 12.3.15

(choose chapter or problem)

Given a deterministic finite-state automaton M = (S, /, f, so, F), use structural induction and the recursive definition of the extended transition function f to prove that f(s , xy) = f(f(s, x), y) for all states s E S and all strings x E I* and y E /*.

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