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I'm a bit confused by the role of the empty string in this ambiguous grammar:

A' -> A
A -> if A B
A -> null
B -> [empty string]
B -> else S

So what does B -> empty string mean/do? Does that mean B could transition to A? And "if", "else", and "null are terminals, then what is the empty string?

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  • $\begingroup$ It appears that "empty string" is also a terminal. Also, your first production should be $S\rightarrow A$. $\endgroup$ Nov 15 '21 at 16:21
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In a grammar when a rule transitions to the empty string, that means that the symbol just disappears. For example, here is a possible derivation:

A'
A
if A B
if null B
if null

Notice that on the last line, B is replaced by the empty string -- nothing. It goes away. (We could have instead decided to replace B by else S.)

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