Question: 3. [12 marks] This question develops your ability to design CFGs. For each of the following languages, give a (a) {x | x is a

3. [12 marks] This question develops your ability to design CFGs.

3. [12 marks] This question develops your ability to design CFGs. For each of the following languages, give a (a) {x | x is a palindrome). Recall a palindrome is a string that looks the same forwards and backwards. 4. [12 marks] This question develops your ability to design PDAs. For parts (a), (b), (c) of question 3 above, give CFG. Assume the alphabet is E -{a, by. Justify your answers briefly. Examples of palindromes are "madam" and "racecar" state diagrams of pushdown automata. For each automata, include a brief description of the idea behind its design

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4. Are there any disadvantages?

3. What are the main benefits of using more information technology?

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