(ch7) Build a PDA (Pushdown Automata) that accepts (by empty stack) the set of string over {a, b, c} described by the set. You are encouraged to use JFLAP for this problem. {a'b'.d.a' | i > 0, j>0 }
(ch7) Build a PDA (Pushdown Automata) that accepts (by empty stack) the set of string over {a, b, c} described by the set. You are encouraged to use JFLAP for this problem. {a'b'.d.a' | i > 0, j>0 }
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
Related questions
Question
![### Problem Description
In the context of Chapter 7, this exercise involves building a Pushdown Automaton (PDA) that accepts a specific set of strings over the alphabet \(\{a, b, c\}\). The acceptance is determined by the empty stack method. The language of strings that the PDA is designed to accept is defined as follows:
\[
\{ a^i b^i c^j a^j \mid i > 0, j > 0 \}
\]
### Task
1. **Build a PDA**: Design a Pushdown Automaton that accepts the language characterized by the pattern \(a^i b^i c^j a^j\).
2. **Acceptance Method**: Ensure that the PDA accepts strings by emptying the stack.
3. **Tools and Resources**: It is recommended to utilize JFLAP, a software tool for experimenting with formal languages and automata, to aid in constructing and testing the PDA.
### Explanation
- **Notation \(a^i b^i c^j a^j\)**: This notation represents strings where there are \(i\) occurrences of 'a' followed by \(i\) occurrences of 'b', and then \(j\) occurrences of 'c' followed by \(j\) occurrences of 'a'.
- **Constraints**: Both \(i\) and \(j\) are greater than 0, implying each segment appears at least once in a valid string.
By using JFLAP, you can visually design and simulate the behavior of the PDA to ensure it properly recognizes strings conforming to the specified language pattern.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ec4da7d-d62c-4d19-8443-666a1347c813%2F1eef95c6-87c7-4405-ab6d-544168ecf4f0%2Fwla9wqo_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Description
In the context of Chapter 7, this exercise involves building a Pushdown Automaton (PDA) that accepts a specific set of strings over the alphabet \(\{a, b, c\}\). The acceptance is determined by the empty stack method. The language of strings that the PDA is designed to accept is defined as follows:
\[
\{ a^i b^i c^j a^j \mid i > 0, j > 0 \}
\]
### Task
1. **Build a PDA**: Design a Pushdown Automaton that accepts the language characterized by the pattern \(a^i b^i c^j a^j\).
2. **Acceptance Method**: Ensure that the PDA accepts strings by emptying the stack.
3. **Tools and Resources**: It is recommended to utilize JFLAP, a software tool for experimenting with formal languages and automata, to aid in constructing and testing the PDA.
### Explanation
- **Notation \(a^i b^i c^j a^j\)**: This notation represents strings where there are \(i\) occurrences of 'a' followed by \(i\) occurrences of 'b', and then \(j\) occurrences of 'c' followed by \(j\) occurrences of 'a'.
- **Constraints**: Both \(i\) and \(j\) are greater than 0, implying each segment appears at least once in a valid string.
By using JFLAP, you can visually design and simulate the behavior of the PDA to ensure it properly recognizes strings conforming to the specified language pattern.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images

Recommended textbooks for you

Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON

Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science

Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning

Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON

Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science

Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning

Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning

Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education

Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY