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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Proof the theorem that the class of regular languages is closed under union; that is, if L1 is recognized by a NFA and L2 is recognized by a NFA, then L1 υ L2 is recognized by a NFA as well.
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Let s1 and s2 be two strings of lengths m and n respectively. By definition, a superstring of s1 and s2 is one which contains s1 and s2 as substrings. Give a dynamic programming algorithm to compute a shortest superstring of t
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