this and the following question, consider those TMs that satisfy all of the following properties: • Q=199₁-99): there are exactly two states besides the accept state and the reject state. • I=(1): the input alphabet has just one symbol. •[=(1,]: the tape alphabet has two symbols, where is the blank symbol. • The head is moved in every step, that is, & uses only L and R, but not N. • If the machine is started on the completely empty tape, it will halt after a finite number of steps, that is, it will reach q, or q If such a TM is started on the completely empty tape, it will leave a certain number of 1 symbols on the tape after it halts. What is the maximum number of 1 symbols on the tape, among all of these TMs? Answer: Check
this and the following question, consider those TMs that satisfy all of the following properties: • Q=199₁-99): there are exactly two states besides the accept state and the reject state. • I=(1): the input alphabet has just one symbol. •[=(1,]: the tape alphabet has two symbols, where is the blank symbol. • The head is moved in every step, that is, & uses only L and R, but not N. • If the machine is started on the completely empty tape, it will halt after a finite number of steps, that is, it will reach q, or q If such a TM is started on the completely empty tape, it will leave a certain number of 1 symbols on the tape after it halts. What is the maximum number of 1 symbols on the tape, among all of these TMs? Answer: Check
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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Question
![In this and the following question, consider those TMs that satisfy all of the following properties:
Q={90,91,9a9r}: there are exactly two states besides the accept state and the reject state.
• Σ={1}: the input alphabet has just one symbol.
• [={1,_}: the tape alphabet has two symbols, where is the blank symbol.
• The head is moved in every step, that is, 8 uses only L and R, but not N.
• If the machine is started on the completely empty tape, it will halt after a finite number of steps, that is, it will reach qa or qr.
If such a TM is started on the completely empty tape, it will leave a certain number of 1 symbols on the tape after it halts. What is the maximum number of 1 symbols on the tape, among all of these TMs?
Answer:
Check
Consider again the TMs of the preceding question. If such a TM is started on the completely empty tape, it will make a certain number of transition steps. What is the maximum number of steps, among all those TMs?
Answer:
Check](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd8943778-3c01-4ca3-b713-4695e881d61a%2Fdda35a30-2f55-4fcb-8137-f6c148ace4a6%2Fsacsr8_processed.png&w=3840&q=75)
Transcribed Image Text:In this and the following question, consider those TMs that satisfy all of the following properties:
Q={90,91,9a9r}: there are exactly two states besides the accept state and the reject state.
• Σ={1}: the input alphabet has just one symbol.
• [={1,_}: the tape alphabet has two symbols, where is the blank symbol.
• The head is moved in every step, that is, 8 uses only L and R, but not N.
• If the machine is started on the completely empty tape, it will halt after a finite number of steps, that is, it will reach qa or qr.
If such a TM is started on the completely empty tape, it will leave a certain number of 1 symbols on the tape after it halts. What is the maximum number of 1 symbols on the tape, among all of these TMs?
Answer:
Check
Consider again the TMs of the preceding question. If such a TM is started on the completely empty tape, it will make a certain number of transition steps. What is the maximum number of steps, among all those TMs?
Answer:
Check
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