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1. For each of the following languages of the form {w € {a,b}* | ... } where the rule... in each case is described below, construct a deterministic finite automa- ton over {a, b} accepting that language. (a) w has both ab and ba as (not necessarily disjoint) subwords. (b) w has an even number of a's and an odd number of b's. (c) w has an odd length and exactly two b's.

1. For each of the following languages of the form {w € {a,b}* | ... } where the rule... in each case is described below, construct a deterministic finite automa- ton over {a, b} accepting that language. (a) w has both ab and ba as (not necessarily disjoint) subwords. (b) w has an even number of a's and an odd number of b's. (c) w has an odd length and exactly two b's.

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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Question 1 1. For each of the following languages of the form {w € {a,b}* | .. } where the rule... in each case is described below, construct a deterministic finite automa- ton over {a, b} accepting that language. (a) w has both ab and ba as (not necessarily disjoint) subwords. (b) w has an even number of a's and an odd number of b's. (c) w has an odd length and exactly two b's. (d) all blocks of consecutive b's in w have length of the form 2n +3 for n = 0, 1, 2, . ... 2. Describe how, for any alphabet E and any k > 2, you would construct a deterministic finite automaton Ag which accepts the following language: {w € E* | |w| = kn, n = 0,1, 2, . ..} 3. Convert the following NFA over the alphabet {a, b} to an equivalent DFA: a a a a 3
Transcribed Image Text:Question 1 1. For each of the following languages of the form {w € {a,b}* | .. } where the rule... in each case is described below, construct a deterministic finite automa- ton over {a, b} accepting that language. (a) w has both ab and ba as (not necessarily disjoint) subwords. (b) w has an even number of a's and an odd number of b's. (c) w has an odd length and exactly two b's. (d) all blocks of consecutive b's in w have length of the form 2n +3 for n = 0, 1, 2, . ... 2. Describe how, for any alphabet E and any k > 2, you would construct a deterministic finite automaton Ag which accepts the following language: {w € E* | |w| = kn, n = 0,1, 2, . ..} 3. Convert the following NFA over the alphabet {a, b} to an equivalent DFA: a a a a 3
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