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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
Problem 1PE
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What class of strings will this DFA machine accept. Just briefly explain. 

The image depicts a deterministic finite automaton (DFA) with a starting state and three final states. Here's a detailed description of the diagram: 1. **States and Transitions**: - The automaton consists of six states, one of which is the initial state labeled "Start". The other five states lead to three distinct end states, marked with double circles, indicating that they are accepting states. 2. **Transitions**: - From the **Start** state: - An input 'a' leads to the first state in the top row. - An input 'b' leads to the second state in the middle row. - An input 'c' leads to the third state in the bottom row. - From the **top row state**: - An input 'a' loops back to itself. - Inputs 'b' or 'c' move the automaton to the top accepting state. - From the top accepting state: - An input 'a' returns to the initial state in the top row. - Inputs 'b' or 'c' loop within the accepting state. - From the **middle row state**: - An input 'b' loops back to itself. - Inputs 'a' or 'c' move the automaton to the middle accepting state. - From the middle accepting state: - An input 'b' returns to the initial state in the middle row. - Inputs 'a' or 'c' loop within the accepting state. - From the **bottom row state**: - An input 'c' loops back to itself. - Inputs 'a' or 'b' move the automaton to the bottom accepting state. - From the bottom accepting state: - An input 'c' returns to the initial state in the bottom row. - Inputs 'a' or 'b' loop within the accepting state. This DFA can be useful for recognizing patterns of sequences based on given inputs 'a', 'b', and 'c'. Each path from the starting state through transitions highlights different conditions to reach an accepting state.
Transcribed Image Text:The image depicts a deterministic finite automaton (DFA) with a starting state and three final states. Here's a detailed description of the diagram: 1. **States and Transitions**: - The automaton consists of six states, one of which is the initial state labeled "Start". The other five states lead to three distinct end states, marked with double circles, indicating that they are accepting states. 2. **Transitions**: - From the **Start** state: - An input 'a' leads to the first state in the top row. - An input 'b' leads to the second state in the middle row. - An input 'c' leads to the third state in the bottom row. - From the **top row state**: - An input 'a' loops back to itself. - Inputs 'b' or 'c' move the automaton to the top accepting state. - From the top accepting state: - An input 'a' returns to the initial state in the top row. - Inputs 'b' or 'c' loop within the accepting state. - From the **middle row state**: - An input 'b' loops back to itself. - Inputs 'a' or 'c' move the automaton to the middle accepting state. - From the middle accepting state: - An input 'b' returns to the initial state in the middle row. - Inputs 'a' or 'c' loop within the accepting state. - From the **bottom row state**: - An input 'c' loops back to itself. - Inputs 'a' or 'b' move the automaton to the bottom accepting state. - From the bottom accepting state: - An input 'c' returns to the initial state in the bottom row. - Inputs 'a' or 'b' loop within the accepting state. This DFA can be useful for recognizing patterns of sequences based on given inputs 'a', 'b', and 'c'. Each path from the starting state through transitions highlights different conditions to reach an accepting state.
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