Consider the language L = {a'b'c* | i # j,j # k, i # k}; it is not a context- free language. Show that it nevertheless satisfies the conditions of the context-free pumping lemma, that i s, show that there exists an m so that for all strings w in L of length at least m, we can write w = uvxyz with |vxy < m, vy > 1, such that Vi > 0 : uv'ry'z E L.
Consider the language L = {a'b'c* | i # j,j # k, i # k}; it is not a context- free language. Show that it nevertheless satisfies the conditions of the context-free pumping lemma, that i s, show that there exists an m so that for all strings w in L of length at least m, we can write w = uvxyz with |vxy < m, vy > 1, such that Vi > 0 : uv'ry'z E L.
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...
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![Consider the language L = {a'bck | i + j,j # k, i + k}; it is not a context- free
language. Show that it nevertheless satisfies the conditions of the context-free pumping
lemma, that i s, show that there exists an m so that for all strings w in L of length
at least m, we can write w = uvxyz with |vxy| < m, vy| > 1, such that Vi > 0 :
uv'xy'z € L.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7daf1a24-54ef-41db-a2eb-8cc64b099e60%2F5ad6ed7e-0513-42a5-91c1-9737043784e5%2Fbvekch5_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the language L = {a'bck | i + j,j # k, i + k}; it is not a context- free
language. Show that it nevertheless satisfies the conditions of the context-free pumping
lemma, that i s, show that there exists an m so that for all strings w in L of length
at least m, we can write w = uvxyz with |vxy| < m, vy| > 1, such that Vi > 0 :
uv'xy'z € L.
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