1. Consider the following language in the alphabet E = {a}. L = {a²" |n a non-negative integer } Here is a multi-step implementation level description of a Turing machine that decides this language. BobOn input string w: 1. If the tape contains a single a, accept. 2. If the tape contains more than a single a and the number of a's is odd, reject. 3. Sweep left to right across the tape, crossing off every other a 4. Return the head to the left-hand end of the tape and goto step 1 Fill in the following table for Bob, when it is processing a string w of length n. Stage # Max. number of steps to execute Max. number of times executed Order (like O(?)) 1 n 2 3 4 Write a paragraph analyzing the time complexity of Bob. Does Bob show that I a member of P? Why or why not?
1. Consider the following language in the alphabet E = {a}. L = {a²" |n a non-negative integer } Here is a multi-step implementation level description of a Turing machine that decides this language. BobOn input string w: 1. If the tape contains a single a, accept. 2. If the tape contains more than a single a and the number of a's is odd, reject. 3. Sweep left to right across the tape, crossing off every other a 4. Return the head to the left-hand end of the tape and goto step 1 Fill in the following table for Bob, when it is processing a string w of length n. Stage # Max. number of steps to execute Max. number of times executed Order (like O(?)) 1 n 2 3 4 Write a paragraph analyzing the time complexity of Bob. Does Bob show that I a member of P? Why or why not?
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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Transcribed Image Text:1. Consider the following language in the alphabet Σ = {a}.
L = {a²" |n a non-negative integer }
Here is a multi-step implementation level description of a Turing machine that decides this language.
Bob On input string w:
1. If the tape contains a single a, accept.
2. If the tape contains more than a single a and the number of a's is odd, reject.
3. Sweep left to right across the tape, crossing off every other a
4. Return the head to the left-hand end of the tape and goto step 1
Fill in the following table for Bob, when it is processing a string w of length n.
Stage #Max. number of steps to execute Max. number of times executed Order (like O(?))
1
n
TT
2
3
4
Write a paragraph analyzing the time complexity of Bob. Does Bob show that I a member of P? Why or why
not?
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