Question: Consider the following programming language foo: Foo = { S : S is the form of A ^ n and B ^ ( 2 n

Consider the following programming language foo:
Foo={ S : S is the form of A^n and B^(2n) for some n >0}
Thus, a string is considered in foo if it starts with a sequence of As and is followed by a
sequence of twice as many of Bs. For example, AABBBB is legal string of foo. However,
BBAAAA or ABBABB and empty strings are not legal strings of foo. Note that foo only
deals with capital letters.
a. Write the grammar of this language
b. Write a recursive function to see if a string is legal or not

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