Question

Give the possible valid reason that can validate that the set of all Turing machine encodings...

Give the possible valid reason that can validate that the set of all Turing machine encodings is either finite or infinite.

Homework Answers

Answer #1

First of all note that while the number of states and the number of transitions in a Turing machine must be finite, there is no bound on how large they can be. In other words, for each natural number, there is at least one Turing machine with that many states and transitions.

Each such machine will require a unique encoding, as they have different number of states and transitions. This means that there are at least as many encodings as there are natural numbers. Hence the size of set of all Turing machine encodings is at least as large as the Natural numbers, which is infinite.

Therefore the set of all Turing machine encodings in finite.

Comment in case of any doubts.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Give me Turing Machine for the language {w in (a|b|c)* | no of a's > no...
Give me Turing Machine for the language {w in (a|b|c)* | no of a's > no of b's} ?
Let S denote the set of all possible finite binary strings, i.e. strings of finite length...
Let S denote the set of all possible finite binary strings, i.e. strings of finite length made up of only 0s and 1s, and no other characters. E.g., 010100100001 is a finite binary string but 100ff101 is not because it contains characters other than 0, 1. a. Give an informal proof arguing why this set should be countable. Even though the language of your proof can be informal, it must clearly explain the reasons why you think the set should...
Prove or Disprove Suppose we construct arrays of integers. Let S be the set of all...
Prove or Disprove Suppose we construct arrays of integers. Let S be the set of all arrays which are arranged in sorted order. The set S is decidble. A Turing machine with two tapes is no more powerful than a Turing machine with one tape. (That is, both types of machines can compute the same set of functions.)
Is the set of all finite subsets of N countable or uncountable? Give a proof of...
Is the set of all finite subsets of N countable or uncountable? Give a proof of your assertion.
why are proteins ushally absent in urine? give one possible (abnormal) reason why they might be...
why are proteins ushally absent in urine? give one possible (abnormal) reason why they might be present.
Which of the following statements is false? It is not possible for a continuous variable to...
Which of the following statements is false? It is not possible for a continuous variable to have a finite number of values. If a random variable can take on all of the possible values between 2 and 4, then it is a continuous variable. It is possible for a discrete variable to have an infinite number of possible values. A discrete variable is always represented by whole numbers.
Is the solution set of a non-homogeneous linear system "Ax=b" a subspace? Give reason(s) to support...
Is the solution set of a non-homogeneous linear system "Ax=b" a subspace? Give reason(s) to support your answer
Can an argument with a false conclusion be valid? Explain your answer and give your own...
Can an argument with a false conclusion be valid? Explain your answer and give your own example to illustrate your explanation.
A small cafeteria has a single coffee-making machine. There can be delays if several customers all...
A small cafeteria has a single coffee-making machine. There can be delays if several customers all want coffee at the same time. The proprietor has observed that on average 60% of customers want coffee from the machine. nonconforming. (a) If six customers enter the cafeteria, what is the probability distribution for the number of customers, X, who will want coffee from the machine? (b) What is the probability that at least four of the six customers will want coffee from...
Electromagnetic waves are produced by oscillating accelerated particle. Give the reason, why electromagnetic waves have more...
Electromagnetic waves are produced by oscillating accelerated particle. Give the reason, why electromagnetic waves have more application than the non-electromagnetic waves? An EM radiation coming out when a TV remote is switched on. Now, if it starts propagating from vacuum into water, it is assumed that its speed is reduced to half, predict its wavelength in water and justify your result. Compare and validate your results for a radiation coming out from an X-ray machine. Compare the effects on frequency...