Question: Show that FOUR TM = { : M is a TM and halts on some string w with |w| = 4} is undecidable.

Show that FOURTM = { : M is a TM and halts on some string w with |w| = 4} is undecidable.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Q:

This about the Theory of Computation. Please show answer step by step. Please do not copy any answer. 1. We have assumed that a Turing machine can detect the left end of its tape. One way this can be...

Q:

This about the Theory of Computation. Please show answer step by step. Please do not copy any answer. 1. We have assumed that a Turing machine can detect the left end of its tape. One way this can be...

Q:

4. (Reduction Mad-Libs) A language B is excited if every string in B takes the form ww for some w = {0,1}*. For example, {00, 1111, 1010} is excited, but {00, 10} is not excited. The language EXTM =...

Q:

1. (Code as data) Consider the following description of a three-tape TM H. Algorithm: H((M, w)) Input : Encoding of a basic TM M and a string we {0, 1}* 1. Copy the the string w to tape 2. 2. Repeat...

Q:

If HALT 2 TM is the language of Turing Machines that halt on two different strings = { such that v , u , u ! = v , M halts on both v and u but will loop on every other string. } How can I show that...

Q:

[JAVA TURING MACHINE] public class Project10 { public static void main(String[] args) { String[] delta = { "q0 a q0 _ R", "q0 _ q1 _ R", "q0 b q2 b L", "q1 a q1 a R", "q1 _ q3 b R", "q1 b q2 a R" };...

Q:

Turing reducibility and information ( a ) Let = { 0 , 1 } be the alphabet. Statement: For any two languages A and B , such that A , B ? = O , * * , a language C exists, where A ? T C and B ? T C . Is...

Q:

Let T = { hMi | M is a TM that accepts w R whenever it accepts w } . Note that w R denotes the reverse of string w . Thus, hMi in T iff TM M has the property that for every input string w , M either...

Q:

9.12. For each decision problem below, determine whether it is decidable or undecidable, and prove your answer. a. Given a TM T, does it ever reach a state other than its initial state if it starts...

Q:

Question 4. Prove that the following language is undecidable. L = KM) I M is a TM and: M accepts string w whenever it accepts string wR. Hint: use a reduction from the undecidable language ATM= {M,w/...

Q:

At what wavelength of incident radiation do the relativistic and non-relativistic expressions for the ejection of electrons from potassium differ by 10 per cent? That is, find such that the...

Q:

Write down a Cobb-Douglas production function for which capital earns one-fourth of total income.

Q:

! Required information You just deposited $ 1 0 , 5 0 0 in an investment account and will deposit $ 5 0 0 0 more four years from now. Use tabulated factor values to determine how much will be in the...

Q:

27. AAA firm's required retum - 12.00%, the price of the stock - $40 per share. D- $1. Dividend will grow by 30% for the next four years. After the fourth year, the dividend will grow at the rate of...

Q:

1-2 What is an information system? How does it work? What are its management, organization, and technology components and why are complementary assets essential for ensuring that information systems...

Q:

3. What strategic business objectives do UPSs information systems address? United Parcel Service (UPS) started out in 1907 in a closet-sized basement office. Jim Casey and Claude Ryantwo teenagers...

Q:

1. What are the inputs, processing, and outputs of UPSs package tracking system? United Parcel Service (UPS) started out in 1907 in a closet-sized basement office. Jim Casey and Claude Ryantwo...