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What language is accepted by the PDA M = ({qo, 91, 92, q3, 44, 95}, {a, b}, {0, 1, $} 8, q0, $, {q5}), with

What language is accepted by the PDA M = ({qo, 91, 92, q3, 44, 95}, {a, b}, {0, 1, $} 8, q0, $, {q5}), with

Computer Networking: A Top-Down Approach (7th Edition)
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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**Pushdown Automaton (PDA) Description:** The pushdown automaton \( M \) is defined as follows: - **States:** \( \{ q_0, q_1, q_2, q_3, q_4, q_5 \} \) - **Input Alphabet:** \( \{ a, b \} \) - **Stack Alphabet:** \( \{ 0, 1, \$ \} \) - **Transitions:** Defined by the function \( \delta \) - **Start State:** \( q_0 \) - **Stack Symbol:** \( \$ \) - **Accepting State:** \( q_5 \) **Transitions:** 1. \( \delta(q_0, b, \$) = \{ (q_1, 1\$) \} \) - From state \( q_0 \), on reading input 'b' and stack top '\$', move to state \( q_1 \) and push '1' onto the stack. 2. \( \delta(q_1, b, 1) = \{ (q_2, 11) \} \) - From state \( q_1 \), on reading input 'b' and stack top '1', move to state \( q_2 \) and push another '1' onto the stack. 3. \( \delta(q_2, a, 1) = \{ (q_3, \lambda) \} \) - From state \( q_2 \), on reading input 'a' and stack top '1', move to state \( q_3 \) and pop the '1' from the stack. 4. \( \delta(q_3, a, 1) = \{ (q_4, \lambda) \} \) - From state \( q_3 \), on reading input 'a' and stack top '1', move to state \( q_4 \) and pop the '1' from the stack. 5. \( \delta(q_4, a, \$) = \{ (q_4, \$), (q_5, \$) \} \) - From state \( q_4 \), on reading input 'a' and stack top '\$', remain in state \( q_4 \) keeping '\$' on the stack, or move to
Transcribed Image Text:**Pushdown Automaton (PDA) Description:** The pushdown automaton \( M \) is defined as follows: - **States:** \( \{ q_0, q_1, q_2, q_3, q_4, q_5 \} \) - **Input Alphabet:** \( \{ a, b \} \) - **Stack Alphabet:** \( \{ 0, 1, \$ \} \) - **Transitions:** Defined by the function \( \delta \) - **Start State:** \( q_0 \) - **Stack Symbol:** \( \$ \) - **Accepting State:** \( q_5 \) **Transitions:** 1. \( \delta(q_0, b, \$) = \{ (q_1, 1\$) \} \) - From state \( q_0 \), on reading input 'b' and stack top '\$', move to state \( q_1 \) and push '1' onto the stack. 2. \( \delta(q_1, b, 1) = \{ (q_2, 11) \} \) - From state \( q_1 \), on reading input 'b' and stack top '1', move to state \( q_2 \) and push another '1' onto the stack. 3. \( \delta(q_2, a, 1) = \{ (q_3, \lambda) \} \) - From state \( q_2 \), on reading input 'a' and stack top '1', move to state \( q_3 \) and pop the '1' from the stack. 4. \( \delta(q_3, a, 1) = \{ (q_4, \lambda) \} \) - From state \( q_3 \), on reading input 'a' and stack top '1', move to state \( q_4 \) and pop the '1' from the stack. 5. \( \delta(q_4, a, \$) = \{ (q_4, \$), (q_5, \$) \} \) - From state \( q_4 \), on reading input 'a' and stack top '\$', remain in state \( q_4 \) keeping '\$' on the stack, or move to
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