This question contains multiple parts. You must answer all parts completely to be successful at this skill. A The pumping length of the following deterministic finite automata is 4 because there are four states. 0
This question contains multiple parts. You must answer all parts completely to be successful at this skill. A The pumping length of the following deterministic finite automata is 4 because there are four states. 0
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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Transcribed Image Text:**Skill 6, Attempt 2**
This question contains multiple parts. You must answer all parts completely to be successful at this skill.
**A** The pumping length of the following deterministic finite automata is 4 because there are four states.
### State Diagram Explanation
The state diagram consists of four states: \( Q_0, Q_1, Q_2, \) and \( Q_3 \).
- **\( Q_0 \)**: This is the start state, represented by an arrow pointing to it from nowhere. It has a loop back to itself on input 0 and transitions to \( Q_1 \) on input 1. The transition to \( Q_3 \) occurs on input 0 or 1.
- **\( Q_1 \)**: From \( Q_1 \), the automaton transitions to \( Q_2 \) on input 1 and returns to \( Q_0 \) on input 0.
- **\( Q_2 \)**: Moves to \( Q_3 \) on input 1 and loops back to itself on input 0 in the path from \( Q_3 \).
- **\( Q_3 \)**: \( Q_3 \) is an accepting state, indicated by a double circle. It transitions back to itself on input 0 and transitions to \( Q_2 \) on input 1.
### Answer the following:
1. State a string of length 4 or greater that is accepted by the deterministic finite automaton.
2. Decompose the string into the \( x, y, \) and \( z \) substrings so that the conclusions of the pumping lemma hold.
3. Highlight a loop in the state diagram that corresponds to the substring \( y \).
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