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)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
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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.
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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