Give a high level description of M in English.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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**Design a Turing Machine to Decide a Language**

### Problem Statement
Design a Turing machine \( M \) that decides the language \( L = \{ 0^n1^n \mid n \geq 0 \} \).

### Explanation
The task is to construct a Turing machine that can accept strings of the form where the number of 0's is equal to the number of 1's, and all 0's precede the 1's.
Transcribed Image Text:**Design a Turing Machine to Decide a Language** ### Problem Statement Design a Turing machine \( M \) that decides the language \( L = \{ 0^n1^n \mid n \geq 0 \} \). ### Explanation The task is to construct a Turing machine that can accept strings of the form where the number of 0's is equal to the number of 1's, and all 0's precede the 1's.
(1) Give a high level description of M in English.

The following is an answer to this question. Please verify its correctness.

1. Move right.
2. If the current symbol is the blank symbol, halt and accept.
3. Loop:
   3.1. If the current symbol is 0, change it to $ and move right. Otherwise exit loop.
   3.2. Scan rightwards, past 0’s and #’s to find 1.
   3.3. If 1 found, change it to # and move left. Otherwise reject.
   3.4. Scan leftwards, past 0’s and #’s to find $.
   3.5. When finding the first $, move right, and go back to 3.1.
4. If the current symbol is #, move right. Otherwise reject.
5. Scan rightwards, past #’s, to find the blank symbol.
6. When finding the first blank symbol, move right and accept.

- [ ] The provided answer is correct.
- [ ] The provided answer is incorrect.
Transcribed Image Text:(1) Give a high level description of M in English. The following is an answer to this question. Please verify its correctness. 1. Move right. 2. If the current symbol is the blank symbol, halt and accept. 3. Loop: 3.1. If the current symbol is 0, change it to $ and move right. Otherwise exit loop. 3.2. Scan rightwards, past 0’s and #’s to find 1. 3.3. If 1 found, change it to # and move left. Otherwise reject. 3.4. Scan leftwards, past 0’s and #’s to find $. 3.5. When finding the first $, move right, and go back to 3.1. 4. If the current symbol is #, move right. Otherwise reject. 5. Scan rightwards, past #’s, to find the blank symbol. 6. When finding the first blank symbol, move right and accept. - [ ] The provided answer is correct. - [ ] The provided answer is incorrect.
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