Removing state $ q_1 $, find a PDA with three states that accepts the same language as the PDA in Example 7.2. (Page 14 in the chapter 7's slide). ### Example 7.2: Consider the NPDAThe NPDA (Nondeterministic Pushdown Automaton) is defined as follows:- **States (Q):** $\{ q_0, q_1, q_2, q_3 \}$- **Input Alphabet (Σ):** $\{ a, b \}$- **Stack Alphabet (Γ):** $\{ 0, 1 \}$- **Initial Stack Symbol (z):** 0- **Final States (F):** $\{ q_3 \}$The initial state is $q_0$, and the transition function is defined by:- $\delta(q_0, a, 0) = \{ (q_1, 10), (q_3, \lambda) \}$- $\delta(q_0, \lambda, 0) = \{ (q_3, \lambda) \}$- $\delta(q_1, a, 1) = \{ (q_1, 11) \}$- $\delta(q_1, b, 1) = \{ (q_2, \lambda) \}$- $\delta(q_2, b, 1) = \{ (q_2, \lambda) \}$- $\delta(q_2, \lambda, 0) = \{ (q_3, \lambda) \}$These transitions describe how the NPDA moves between states and manipulates the stack based on the input symbols and current stack contents. The machine uses nondeterminism, allowing for multiple possible transitions at each step. The goal is to reach a final state with an empty input string.

A Pushdown automata after the remove state q1 from the given PDA

Answered: Removing state q1, find a PDA with…

Removing state q1, find a PDA with three states that accepts the same language as the PDA in Example 7.2. (Page 14 in the chapter 7's slide).

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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Question

Removing state $ q_1 $, find a PDA with three states that accepts the same language as the PDA in Example 7.2. (Page 14 in the chapter 7's slide).

### Example 7.2: Consider the NPDA

The NPDA (Nondeterministic Pushdown Automaton) is defined as follows:

- **States (Q):** $\{ q_0, q_1, q_2, q_3 \}$
- **Input Alphabet (Σ):** $\{ a, b \}$
- **Stack Alphabet (Γ):** $\{ 0, 1 \}$
- **Initial Stack Symbol (z):** 0
- **Final States (F):** $\{ q_3 \}$

The initial state is $q_0$, and the transition function is defined by:

- $\delta(q_0, a, 0) = \{ (q_1, 10), (q_3, \lambda) \}$
- $\delta(q_0, \lambda, 0) = \{ (q_3, \lambda) \}$
- $\delta(q_1, a, 1) = \{ (q_1, 11) \}$
- $\delta(q_1, b, 1) = \{ (q_2, \lambda) \}$
- $\delta(q_2, b, 1) = \{ (q_2, \lambda) \}$
- $\delta(q_2, \lambda, 0) = \{ (q_3, \lambda) \}$

These transitions describe how the NPDA moves between states and manipulates the stack based on the input symbols and current stack contents. The machine uses nondeterminism, allowing for multiple possible transitions at each step. The goal is to reach a final state with an empty input string.

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