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3. Consider the language of balanced square brackets. For example, both [19[[]] and [[][[|]][[] are in the language, while []][[] is not. Assume the empty

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3. Consider the language of balanced square brackets. For example, both [19[[]] and [[][[|]][[] are in the language, while []][[] is not. Assume the empty sequence is in the language. (a) Write a context-free grammar for this language. You may use extended BNF to express the solution. (6) Show the left-most derivation for the sentence [1][]). ) Now assume the empty sequence is not in the language. Write a context-free grammar. You should test your grammars using the CFG Developer online tool at https://web.stanford.edu/ class/archive/cs/cs103/cs103.1156/tools/cfg/ before submission

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