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1 What does it mean that a CFG is ambiguous? Consider the following CFG: Op1 Op1 + Op2 | Op1 - Op2 | Op2; Op2

1 What does it mean that a CFG is ambiguous? Consider the following CFG:

Op1 Op1 + Op2 | Op1 - Op2 | Op2; Op2 Op2 * Expr | Op2 / Op2 | Expr; Expr ( Op1 ) | id,

where the terminals are {(,),+,-,*,/,id} and Op1 is the starting symbol. This grammar defines well-bracketed mathematical expressions that have addition, subtraction, multiplication, and division as operations. For example,

( id + id ) / id - id * id

is a string that can be generated by the grammar. Is this grammar ambiguous? Justify your answer.

note: i am not satisfied by previous answers and

The definition should be given precisely and rigorously. The example should be classified correctly with detailed justification.

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