Problem on empty string
Give an algorithm that, given a grammar G = (V, Σ, R, S), decides whether the grammar G can derive the empty string.
Expert
Suppose that ^ does not belongs to L(G).
We use the algorithms for removing useless symbols and productions. If S is found to be useless, then L(G) is empty; if not, then L(G) contains at least one element.
Let α be a regular expression of length n. (a) Using procedures shown in class, if we convert α into a regular expression β such that L(β) = L(α). How long β might be? Give a reasonably tight upper bound.
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Let REGEXP be the language of valid regular expressions over {a, b}. That is, REGEXP is the set of all strings over the symbols Σ= {a, b, (,), U,*, ^} that are valid regular expressions. For example, the string “a (a U b)" is in REGEXP, whereas the string
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