**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

Language Acceptance criteria of the push down automata For a String of a language to be accepted by…

Answered: What language is accepted by the PDA M…

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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

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

**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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