Do NOT exceed the N and P❘ limits. • If the language cannot be generated by ANY context-free grammar write "Not Context-Free". • If limits are specified and it is not possible to design a CFG within the given limits that generates the given language, write "Not Enough |N| or |P|" and design a CFG with minimal |N|+|P| as possible. 1. E= {a,b) L = {w€ Σ" | w=a²n³n for some n>0} |N| ≤ 1,|P| ≤4 Accepted: A, aabbb, aaaabbbbbb, aaaaaabbbbbbbbb Rejected: aabb, aaab, babab, abaaa 2. E= {0,1} L = {w€ Σ" | ww²} |N| ≤ 2,|P| ≤ 11 Accepted: 0100, 10111, 010101, 111110 Rejected: A, 11011, 101, 01010, 1111 3. E={a,b,c} L = {w€ Σ" | w = 6c ^ó, ½ € {a,b}* ^ ¢® is a substring of} |N| ≤ 3,|P| ≤ 11 Accepted: abbacbbbabbab, abcaaba, abbcbbabbb, aca Rejected: abc, babcbaa, aacbb, bacaaa

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
icon
Related questions
Question

I need help in these question relating to Context Free Grammar

 

Do NOT exceed the N and P| limits.
If the language cannot be generated by ANY context-free grammar write "Not Context-Free".
If limits are specified and it is not possible to design a CFG within the given limits that generates the given language, write
"Not Enough |N| or P" and design a CFG with minimal |N|+|P| as possible.
1. Σ = {a,b}
L = {w€ Σ* | w=a²n³n for some n >0}
|N| ≤ 1,|P| ≤ 4
Accepted: A, aabbb, aaaabbbbbb, aaaaaabbbbbbbbb
Rejected: aabb, aaab, babab, abaaa
2. = {0,1}
L = {w€ Σ* | w=wR}
|N| ≤ 2,|P| ≤ 11
Accepted: 0100, 10111, 010101, 111110
Rejected: A, 11011, 101, 01010, 1111
3. E= {a,b,c}
L = {w€ Σ* | w = pc ^, = {a,b}* ^o is a substring of }
|N| ≤ 3,|P| ≤ 11
Accepted: abbacbbbabbab, abcaaba, abbcbbabbb, aca
Rejected: abc, babcbaa, aacbb, bacaaa
Transcribed Image Text:Do NOT exceed the N and P| limits. If the language cannot be generated by ANY context-free grammar write "Not Context-Free". If limits are specified and it is not possible to design a CFG within the given limits that generates the given language, write "Not Enough |N| or P" and design a CFG with minimal |N|+|P| as possible. 1. Σ = {a,b} L = {w€ Σ* | w=a²n³n for some n >0} |N| ≤ 1,|P| ≤ 4 Accepted: A, aabbb, aaaabbbbbb, aaaaaabbbbbbbbb Rejected: aabb, aaab, babab, abaaa 2. = {0,1} L = {w€ Σ* | w=wR} |N| ≤ 2,|P| ≤ 11 Accepted: 0100, 10111, 010101, 111110 Rejected: A, 11011, 101, 01010, 1111 3. E= {a,b,c} L = {w€ Σ* | w = pc ^, = {a,b}* ^o is a substring of } |N| ≤ 3,|P| ≤ 11 Accepted: abbacbbbabbab, abcaaba, abbcbbabbb, aca Rejected: abc, babcbaa, aacbb, bacaaa
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY