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Consider the pushdown automaton M = (K, E, I, A, s, F), where K = {s, f}, F = {f}, = {a, b}, r
Consider the pushdown automaton M = (K, E, I, A, s, F), where K = {s, f}, F = {f}, = {a, b}, r = {a}, A = {((s, a, e), (s, a)), ((s, b, e), (s, a)), ((s, a, e), (f, e)), ((f, a, a), (f, e)), ((f, b, a), (f, e))}. (a) Trace all possible sequences of transitions of M on input aba. (b) Show that aba, aa, abb L(M), but baa, bab, baaaa # L(M). (c) Describe L(M) in English.
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