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Give a context-free grammar to generate each of the following: (a) {x#y | x, y ∈{0,1}*...

Give a context-free grammar to generate each of the following:

(a) {x#y | x, y ∈{0,1}* and |x| ≠ |y|}

(b) The complement of the language {an bn | n ≥  0}.

(c) The set of boolean and arithmetic expressions. A boolean expression consists of a comparison of two arithmetic expressions using either of the two comparison operators < and ==. An arithmetic expression may involve numbers, identifiers, parentheses, and any of the four operators +, -, *, and /, with the usual mathematical properties (for instance, + and - have a lower precedence than * and /). Examples of arithmetic expressions include num+id*id/num, (id+id)*num, etc. Examples of boolean expressions include num == id, id+num-num < id, etc.

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