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4) Let L = {a 2i b i |i 0} a) Construct a PDA M 1 with L(M 1 ) = L. b) Construct an
4) Let L = {a2i bi |i 0}
a) Construct a PDA M1 with L(M1) = L. b) Construct an atomic PDA M2 with L(M2) = L. c) Construct an extended PDA M3 with L(M3) = L that has fewer transitions than M1. d) Trace the computation that accepts the string aab in each of the automata constructed in parts a, b and c.
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