For #2 and #3: If the answer is NO, then just come up with a language that is a counter-example. If the answer is YES, explain or show an algorithm to construct the FSM. 2. For a given string ajaz..an define the operation shiftleft as shiftleft(ajaz...an) = azan a 1. From this, we can define the operation on a language as shiftleft(L) = {v: v = shiftleft (w) for some w e L}. Are the regular languages closed under shift? Explain your answer.

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
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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For #2 and #3: If the answer is NO, then just come up with a language that is a counter-example.
If the answer is YES, explain or show an algorithm to construct the FSM.
2. For a given string ajaz..an define the operation shiftleft as
shiftleft(ajaz...an) = az.an a 1. From this, we can define the operation on a language
as
shiftleft(L) = {v: v = shiftleft (w) for some w e L}.
Are the regular languages closed under shift? Explain your answer.
Transcribed Image Text:For #2 and #3: If the answer is NO, then just come up with a language that is a counter-example. If the answer is YES, explain or show an algorithm to construct the FSM. 2. For a given string ajaz..an define the operation shiftleft as shiftleft(ajaz...an) = az.an a 1. From this, we can define the operation on a language as shiftleft(L) = {v: v = shiftleft (w) for some w e L}. Are the regular languages closed under shift? Explain your answer.
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