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hello everyone in this lecture we are going to discuss about an example for pda so we have to construct a pda for a to the power n b to the power 2 n such that n is greater than or equal to 1 by final state so the set of strings accepted by this languages a double b double a four bamp;#39;s etc so uh the concept is we can push number of years on to the stack then for the and here we need to match 1a for two bamp;#39;s right so for the first b um donamp;#39;t do any operation on the stack no change in stack should be performed for the second b we have to pop one a from the stack right so a a b b b means two aamp;#39;s are pushed on to the stack then for b no change in a no change in stack should be performed for the second b we have to pop one e then for the next b no change operation then for the last b next b we have to perform pop operation so now the input string is fully consumed so for the epsilon uh if the top of the stack is z naught then we can um find that the input string