QUESTION 3. Again, let #o(z) and #1(2) again denote the numbers of 0's and 1's in a binary string x, respectively. Design a PDA to accept the following language. You may use either the "accept by final state" or the "accept by empty stack" mode. L = {r | r € {0,1}*, #o(x) > #1(x)}
QUESTION 3. Again, let #o(z) and #1(2) again denote the numbers of 0's and 1's in a binary string x, respectively. Design a PDA to accept the following language. You may use either the "accept by final state" or the "accept by empty stack" mode. L = {r | r € {0,1}*, #o(x) > #1(x)}
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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I would like a detailed explanation on how to get to the right answer since I want to be able to understand how to solve it thank you The topic is Theory of Automata question is not graded
![### Question 3
Again, let \( \#_0(x) \) and \( \#_1(x) \) denote the numbers of 0's and 1's in a binary string \( x \), respectively.
Design a PDA (Pushdown Automaton) to accept the following language. You may use either the "accept by final state" or the "accept by empty stack" mode.
\[ L = \{ x \ \| \ x \in \{0,1\}^*, \#_0(x) > \#_1(x) \} \]
### Explanation
This problem involves designing a Pushdown Automaton (PDA) that accepts strings of binary digits (0's and 1's) such that the number of 0's in the string is greater than the number of 1's.
A PDA is a type of automaton that uses a stack to keep track of information and make decisions based on this auxiliary memory. You can choose whether your PDA will consider a string accepted when it reaches a final state or when the stack is empty.
This question requires knowledge of formal languages, automata theory, and how PDAs work.
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This transcription and explanation can be used for educational purposes on a website that provides resources for students learning about formal languages and automata theory.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28da4f2f-4545-4616-8fb7-d832842a6c61%2F520b0b0a-91e8-4972-9c0c-82fa8662bb75%2Fjt5hoa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Question 3
Again, let \( \#_0(x) \) and \( \#_1(x) \) denote the numbers of 0's and 1's in a binary string \( x \), respectively.
Design a PDA (Pushdown Automaton) to accept the following language. You may use either the "accept by final state" or the "accept by empty stack" mode.
\[ L = \{ x \ \| \ x \in \{0,1\}^*, \#_0(x) > \#_1(x) \} \]
### Explanation
This problem involves designing a Pushdown Automaton (PDA) that accepts strings of binary digits (0's and 1's) such that the number of 0's in the string is greater than the number of 1's.
A PDA is a type of automaton that uses a stack to keep track of information and make decisions based on this auxiliary memory. You can choose whether your PDA will consider a string accepted when it reaches a final state or when the stack is empty.
This question requires knowledge of formal languages, automata theory, and how PDAs work.
---
This transcription and explanation can be used for educational purposes on a website that provides resources for students learning about formal languages and automata theory.
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