4. If L, CE and L2 CE are languages, the right quotient of L, by L2 is defined as follows L/L2= {w]w € E, there is a u e L2 such that wu E Li}. Show that if L is context-free and R is regular, then L/R is context-free.

Computer Networking: A Top-Down Approach (7th Edition)
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Prove it. Give me a clear cut proof , do not try to proove it by taking an example.

4. If L, CE and L2 CE are languages, the right quotient of L, by L2 is defined as
follows
L/L2 {w/w €e E, there is a u e L2 such that wu e L}.
%3D
Show that if L, is context-free and R is regular, then L/R is context-free.
Transcribed Image Text:4. If L, CE and L2 CE are languages, the right quotient of L, by L2 is defined as follows L/L2 {w/w €e E, there is a u e L2 such that wu e L}. %3D Show that if L, is context-free and R is regular, then L/R is context-free.
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