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Let M be an NFA with n states. Show that if |L(M)| > 1 then 3w E L(M) with w| < n. You may use without proof the fact that &*(qo, xy) UPes (40,2) 6* (p, y).

Let M be an NFA with n states. Show that if |L(M)| > 1 then 3w E L(M) with w| < n. You may use without proof the fact that &*(qo, xy) UPes (40,2) 6* (p, y).

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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Let M be an NFA with n states. Show that if |L(M)| > 1 then 3w E L(M) with w < n. You may use without proof the fact that 8*(qo, xy) = Upes (q0,2) 8* (p, y).
Transcribed Image Text:Let M be an NFA with n states. Show that if |L(M)| > 1 then 3w E L(M) with w < n. You may use without proof the fact that 8*(qo, xy) = Upes (q0,2) 8* (p, y).
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In this question we have to proof the fact that δ*(q0 , xy) = U p€δ*(qo,x) δ* (p,y) by contradiction.

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