Show that the family of context-free languages is closed under reversal.
Show that the family of context-free languages is closed under reversal.

I am providing the image of the proof.
Show that the family of context-free languages is closed under reversal.
Q.5 Are the context-free languages closed under reversal? Answer yes or no, and explain. (Reversal means to form the language containing the reverse of every string in the original.)
Automata Question
(3) Show that the family of deterministic context-free languages is not closed under union and intersection.
Show that the class of context-free languages is not closed under difference. Use either of the following facts: a. The class of context-free languages is not closed under intersection. b. The language {ww | w ∈ {a,b}*} is not a CFL.
4. (Closure) Show that the class of context-free languages is closed under the star operation.
Show that the class of context-free languages is closed under the regular operation union. For simplicity, you may assume that the alphabets of G1 and G2 are the same. [Hint: Use a constructive proof. Start with the formal definitions, G1 = (V1 ,∑, R1,S1) and G2 = (V2, ∑, R2, S2) and derive the formal definition of G∪.]
10. Show that the family of linear languages is not closed under concatenation. theory of computation
3. Show that the family of regular languages is closed under the given operations below The nor of two languages by nor(L, L2) = {w: w E L1 and w E L2} The cor (complementary) of two languages by cor(Li, L2) = {w: w E L1 or w E L2} a. b.
3. Show that the family of regular languages is closed under the given operations below The nor of two languages by nor(L, L2) = {w: w E L1...
1. Show that the following languages are context-free. You can do this by writing a context free grammar or a PDA, or you can use the closure theorems for context-free languages. For example, you could show that L is the union of two simpler context-free languages. (b) L {0, 1}* - {0"1" :n z 0}
1. Show that the following languages are context-free. You can do this by writing a context free grammar or a PDA, or you can use the closure theorems for context-free languages. For example, you could show that L is the union of two simpler context-free languages. (d) L = {0, 1}* - L1, where L1 is the language {1010010001…10n-110n1 : n n ≥ 1}.