State Reduction, Regular Expressions and CFL 1. Use the state reduction algorithm we talked in class to simplify and reduce the DFA below. What strings does it accept? Simply state a rule (no need to prove it). 6 9 a 10 94

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
icon
Related questions
Question
**State Reduction, Regular Expressions, and CFL**

1. **Task**: Use the state reduction algorithm we discussed in class to simplify and reduce the DFA given below. What strings does it accept? Simply state a rule (no need to prove it).

**Diagram Explanation**:

The diagram is a directed graph representing a Deterministic Finite Automaton (DFA) with six states. The nodes are labeled as \(q1\), \(q2\), \(q3\), \(q4\), \(q5\), and \(q6\).

- **Initial State**: \(q1\) (indicated by an arrow pointing to it).
- **Transitions**:
  - \(q1 \to q2\) on input \(a\).
  - \(q1 \to q6\) on input \(b\).
  - \(q2 \to q5\) on input \(a\).
  - \(q2 \to q3\) on input \(b\).
  - \(q3 \to q5\) on input \(a\).
  - \(q4 \to q3\) on input \(a\).
  - \(q4 \to q6\) on input \(b\).
  - \(q5 \to q5\) on input \(a\).
  - \(q5 \to q4\) on input \(b\).
  - \(q6 \to q3\) on input \(b\).

- **Accepting State**: \(q5\) (indicated by a double circle).

This DFA illustrates various state transitions based on inputs 'a' and 'b', which determine the acceptance or rejection of strings by reaching the accepting state \(q5\).
Transcribed Image Text:**State Reduction, Regular Expressions, and CFL** 1. **Task**: Use the state reduction algorithm we discussed in class to simplify and reduce the DFA given below. What strings does it accept? Simply state a rule (no need to prove it). **Diagram Explanation**: The diagram is a directed graph representing a Deterministic Finite Automaton (DFA) with six states. The nodes are labeled as \(q1\), \(q2\), \(q3\), \(q4\), \(q5\), and \(q6\). - **Initial State**: \(q1\) (indicated by an arrow pointing to it). - **Transitions**: - \(q1 \to q2\) on input \(a\). - \(q1 \to q6\) on input \(b\). - \(q2 \to q5\) on input \(a\). - \(q2 \to q3\) on input \(b\). - \(q3 \to q5\) on input \(a\). - \(q4 \to q3\) on input \(a\). - \(q4 \to q6\) on input \(b\). - \(q5 \to q5\) on input \(a\). - \(q5 \to q4\) on input \(b\). - \(q6 \to q3\) on input \(b\). - **Accepting State**: \(q5\) (indicated by a double circle). This DFA illustrates various state transitions based on inputs 'a' and 'b', which determine the acceptance or rejection of strings by reaching the accepting state \(q5\).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Randomized Select Algorithm
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education