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)
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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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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