Question: The grammar below is ambiguous: E E + E | E * E | (E) | a | b (a) Extend this grammar to include

The grammar below is ambiguous: E E + E | E * E | (E) | a | b

(a) Extend this grammar to include subtraction (-) and exponentiation ( ). (b) Is this grammar ambiguous? If so give two different parse trees for some yield.

(c) Construct an unambiguous grammar for your extended grammar. Make sure the precedence and associativity is as we would expect.

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