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(b) Argue that the following languages over the alphabet {a, b, c} belong to the complexity class P. It is enough to give an implementation level description of the relevant Turing machines, and explain why their complexity is polynomial. %3! %3! (ii) {we {a, b, c}* | it is not the case that Jwa = |w|b = |w\c} {*|m| = \n| = "|m||.{>'q *D} > m} (!) Note that we use the notation Jw\a to denote the number of occurrences of the letter a in w, and similarly for Ju, and |wle.

(b) Argue that the following languages over the alphabet {a, b, c} belong to the complexity class P. It is enough to give an implementation level description of the relevant Turing machines, and explain why their complexity is polynomial. %3! %3! (ii) {we {a, b, c}* | it is not the case that Jwa = |w|b = |w\c} {*|m| = \n| = "|m||.{>'q *D} > m} (!) Note that we use the notation Jw\a to denote the number of occurrences of the letter a in w, and similarly for Ju, and |wle.

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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(b) Argue that the following languages over the alphabet {a, b, c} belong to the complexity class P. It is enough to give an implementation level description of the relevant Turing machines, and explain why their complexity is polynomial. (i) {w e {a, b, c}* | |wla = |wb = |wle} (ii) {w e {a, b, c}* | it is not the case that |wla = |w\b = |w\c} %3D Note that we use the notation Jwla to denote the number of occurrences of the letter a in w, and similarly for |w and |wle.
Transcribed Image Text:(b) Argue that the following languages over the alphabet {a, b, c} belong to the complexity class P. It is enough to give an implementation level description of the relevant Turing machines, and explain why their complexity is polynomial. (i) {w e {a, b, c}* | |wla = |wb = |wle} (ii) {w e {a, b, c}* | it is not the case that |wla = |w\b = |w\c} %3D Note that we use the notation Jwla to denote the number of occurrences of the letter a in w, and similarly for |w and |wle.
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