(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...
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![### 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.
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