Question 5 For each of the following languages, determine whether or not it is context-free. You must justify your answer. 1. {w E {a, b}* | w = wk} C {a, b}* 2. {ak b2k ck E {a, b, c}* | k > 0} C {a, b, c}* 3. {a"b*c* € {a, b, c}* | n > 0, k > 0} C {a, b, c}* 4. {abab*abk e {a, b}* | k > 0} C {a, b}*

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Question 5
For each of the following languages, determine whether or not it is context-free. You must justify
your answer.
1. {w E {a, b}* | w =
wk} C {a, b}*
2. {ak b2k ck E {a, b, c}* | k > 0} C {a, b, c}*
3. {a"b*c* € {a, b, c}* | n > 0, k > 0} C {a, b, c}*
4. {atab*ab* e {a, b}* | k > 0} C {a, b}*
Transcribed Image Text:Question 5 For each of the following languages, determine whether or not it is context-free. You must justify your answer. 1. {w E {a, b}* | w = wk} C {a, b}* 2. {ak b2k ck E {a, b, c}* | k > 0} C {a, b, c}* 3. {a"b*c* € {a, b, c}* | n > 0, k > 0} C {a, b, c}* 4. {atab*ab* e {a, b}* | k > 0} C {a, b}*
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