Question: Let L = {w {A Z, , , , , (, )} : w is a syntactically legal Boolean expression}. (a) Write an unambiguous context-free

Let L = {w {A Z, , , , , (, )} : w is a syntactically legal Boolean expression}.

(a) Write an unambiguous context-free grammar that generates L. The grammar should both:

use the following precedence levels to the operators (from highest to lowest): , , , and ;

associate left given operators of equal precedence (if an operator is left-associative, then

A B C is interpreted as (A B) C).

(b) Show the parse tree that your grammar will produce for the string

A B (A B A)

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