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Kleene's theorem can be used to turn a transition graph (TG) into a regular expression. Which one of the following regular expressions would generate a language that would be equivalent to the language described by the following TG? Highlight 91 a 92 a a, b a, b 93

Kleene's theorem can be used to turn a transition graph (TG) into a regular expression. Which one of the following regular expressions would generate a language that would be equivalent to the language described by the following TG? Highlight 91 a 92 a a, b a, b 93

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Topic : Theoretical Computer Sciences and Computer Engineering

Question 4

A) and B)

Kleene's theorem can be used to turn a transition graph (TG) into a regular expression. Which one of the following regular expressions would generate a language that would be equivalent to the language described by the following TG? Highlight 91 1. b*a(aa + ab)*a 2. b*a[a + (a + b)]a 3. b*aa + ab 4. b*(aa+ba)*a a 90/1 1. 0111 2. 00111 3. 10111 4. 11101 a a 9₁/0 a b Given the Moore machine below, which one of the following represents the output that would be printed if the machine were fed the input string abba? Highlight 9₁/1 92 94 b a b a, b a, b 9₂/1 + 93 a, b
Transcribed Image Text:Kleene's theorem can be used to turn a transition graph (TG) into a regular expression. Which one of the following regular expressions would generate a language that would be equivalent to the language described by the following TG? Highlight 91 1. b*a(aa + ab)*a 2. b*a[a + (a + b)]a 3. b*aa + ab 4. b*(aa+ba)*a a 90/1 1. 0111 2. 00111 3. 10111 4. 11101 a a 9₁/0 a b Given the Moore machine below, which one of the following represents the output that would be printed if the machine were fed the input string abba? Highlight 9₁/1 92 94 b a b a, b a, b 9₂/1 + 93 a, b
Consider the following FA with the regular expression r: O 1. O 2. O 3. -W1 4. b W2 la By applying Kleene's theorem, an FA must be built for the regular expression r*. In the process a transition table is compiled. We compile a suitable transition table by using the algorithm provided in Cohen page 129. New state +Z₁ = W₁ Z₂ = W₁ Z3 = W2 +Z4 = W₁ Or W3 +Z5 =W₁ or W2 or W3 New state Z₁ = W1 b Z2 = W₂ +Z3 = W₁ Or W3 +Z4 =W₁ or W₂ or W3 New state +Z₁ = W₁ Z2 = W2 +Z3 = W₁ Or W3 +Z4 =W₁ or W2 or W3 New state Z₁ = W1 Z₂ = W₂ +Z3 = W3 Z2 Z₂ Read an a Z₂ +Z4 +Z4 Z₁ Read an a Z₁ +Z3 +Z3 +21 Read an a +Z₁ +Z3 +Z3 a, b Read an a +W3 Z₁ Z₁ +Z3 Read an b Z3 Z3 +Z4 +Z5 +Z5 Read an b Z2 +Z3 +Z4 +Z4 Read an b Z₂ +Z3 +Z4 +Z4 Read an b Z2 +Z3 +Z3
Transcribed Image Text:Consider the following FA with the regular expression r: O 1. O 2. O 3. -W1 4. b W2 la By applying Kleene's theorem, an FA must be built for the regular expression r*. In the process a transition table is compiled. We compile a suitable transition table by using the algorithm provided in Cohen page 129. New state +Z₁ = W₁ Z₂ = W₁ Z3 = W2 +Z4 = W₁ Or W3 +Z5 =W₁ or W2 or W3 New state Z₁ = W1 b Z2 = W₂ +Z3 = W₁ Or W3 +Z4 =W₁ or W₂ or W3 New state +Z₁ = W₁ Z2 = W2 +Z3 = W₁ Or W3 +Z4 =W₁ or W2 or W3 New state Z₁ = W1 Z₂ = W₂ +Z3 = W3 Z2 Z₂ Read an a Z₂ +Z4 +Z4 Z₁ Read an a Z₁ +Z3 +Z3 +21 Read an a +Z₁ +Z3 +Z3 a, b Read an a +W3 Z₁ Z₁ +Z3 Read an b Z3 Z3 +Z4 +Z5 +Z5 Read an b Z2 +Z3 +Z4 +Z4 Read an b Z₂ +Z3 +Z4 +Z4 Read an b Z2 +Z3 +Z3
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