The languages L 1 a n b m m n or m 2n and L 2 a n b m n

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Question: The languages L 1 = {a n b m | m = n or m = 2n } and L 2 = {a n b

The languages L₁ = {aⁿb^m | m = n or m = 2n } and L₂ = {a ⁿ b ^m | n <= m <= 2n } are context free.

a. Choose one of the languages and write a CFG for it.

b. Write the PDA that comes from your grammar (part a). Show the first 4 moves it would make on some string in your language (of length at least 4). Be sure to show state, input, and stack at each move.

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