If is a language, and is a symbol, then, the quotient of and, is the set of strings such that is in: is in. Suppose is regular, which of the following statements is true?(a) L/a is always a regular language(b) L/a is not a regular language(c) All of the mentioned(d) None of the mentioned

If is a language, and is a symbol, then, the quotient of and, is the s

1.	If is a language, and is a symbol, then, the quotient of and, is the set of strings such that is in: is in. Suppose is regular, which of the following statements is true?(a) L/a is always a regular language(b) L/a is not a regular language(c) All of the mentioned(d) None of the mentioned
Answer» The correct choice is (a) L/a is always a regular language Explanation: We can build a DFA for as such: firstly we get the DFA for: Then, we copy all the states and transitions to the DFA for. However, we mark any state as a final state in if and only if is a final state in.

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If is a language, and is a symbol, then, the quotient of and, is the set of strings such that is in: is in. Suppose is regular, which of the following statements is true?(a) L/a is always a regular language(b) L/a is not a regular language(c) All of the mentioned(d) None of the mentioned

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