Suppose L is context free and R is regular, justify your answer with t

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Module 2: Context-free languages and pushdown automata

202114m

Suppose $L$ is context free and $R$ is regular, justify your answer with the help of example:

(i) Is $L-R$ necessarily context free?
(ii) Is $R-L$ necessarily context free?

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PreviousConsider the grammar: S \to AB \mid BC A \to BA \mid a B \to CC \mid b C \to AB \mid a Use the CYK algorithm to determine whether the given string "baaba" is in L(G) or not.NextShow that the language L = \{a^{n!} : n \ge 0\} is not regular or not context-free language.

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