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Suppose that L is a context-free language and that R is a regular language. Is L - R necessarily context-free, where L - R means set difference? Is R - L necessarily context-free? Justify your answers. Hint: You may use that fact the intersection of a context-free language and a regular language is context-free.

Suppose that L is a context-free language and that R is a regular language. Is L - R necessarily context-free, where L - R means set difference? Is R - L necessarily context-free? Justify your answers. Hint: You may use that fact the intersection of a context-free language and a regular language is context-free.

Computer Networking: A Top-Down Approach (7th Edition)
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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1.  Suppose that L is a context-free language and that R is a regular language. Is L - R necessarily context-free, where L - R means set difference? Is R - L necessarily context-free? Justify your answers. Hint: You may use that fact the intersection of a context-free language and a regular language is context-free.

2. Show that the language {w | numa(w) ≤ numb(w) ≤ numc(w) and w {a,b,c}*} is not ∈
context-free, where numa(w) is the number of a's in w, and so forth. Hint: Use the hint from the
previous question. 

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