92 b 91 a, b a Give a regular expression for B. € 93

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Give regular expression for nfa.

The image depicts a finite automaton with three states, \( q_1 \), \( q_2 \), and \( q_3 \). The automaton transitions between these states based on input symbols. Here's a detailed breakdown:

- **States:**
  - \( q_1 \): This is the start state, indicated by the arrow pointing towards it.
  - \( q_2 \) and \( q_3 \): These are regular states.

- **Transitions:**
  - From \( q_1 \):
    - On input \( b \), it transitions to \( q_2 \).
    - On input \( \varepsilon \) (epsilon, representing an empty string), it transitions to \( q_3 \).

  - From \( q_2 \):
    - On input \( a \), it loops back to itself.
    - On input \( a \) or \( b \), it transitions to \( q_3 \).

  - From \( q_3 \):
    - On input \( a \), it transitions back to \( q_1 \).

The task is to derive a regular expression for the language recognized by this automaton.
Transcribed Image Text:The image depicts a finite automaton with three states, \( q_1 \), \( q_2 \), and \( q_3 \). The automaton transitions between these states based on input symbols. Here's a detailed breakdown: - **States:** - \( q_1 \): This is the start state, indicated by the arrow pointing towards it. - \( q_2 \) and \( q_3 \): These are regular states. - **Transitions:** - From \( q_1 \): - On input \( b \), it transitions to \( q_2 \). - On input \( \varepsilon \) (epsilon, representing an empty string), it transitions to \( q_3 \). - From \( q_2 \): - On input \( a \), it loops back to itself. - On input \( a \) or \( b \), it transitions to \( q_3 \). - From \( q_3 \): - On input \( a \), it transitions back to \( q_1 \). The task is to derive a regular expression for the language recognized by this automaton.
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