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2. 15pt Use formal definition of context-free grammars to prove the following closure properties [5pt each: (a) Context-free languages are closed under union operation (b)

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2. 15pt Use formal definition of context-free grammars to prove the following closure properties [5pt each: (a) Context-free languages are closed under union operation (b) Context-free languages are closed under concatenation operation (c) Context-free languages are closed under star operation

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