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In a grammar, a grammar symbol X is useless if X can never appear in a derivation of a string. Write an algorithm for eliminating

In a grammar, a grammar symbol X is useless if X can never appear in a derivation of a string. Write an algorithm for eliminating all productions containing useless symbols from a given grammar. Apply your algorithm to the following grammar: :: = 0 | | :: = :: = 1 :: = 2 where is the start symbol

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