Since every multi-tape Turing machine can be simulated by single-tape Turing machine, hence in terms of computation power, both are equivalent.
If a multi-tape Turing machine has T tapes, then we can divide the single tape of single tape Turing-machine into T tracks and hence every single move of multi-tape Turing machine can be simulated by O(T) moves of single-tape Turing machine. Hence if O(N) is time complexity of multi-tape Turing machine then O(NT) will be the time complexity of single tape Turing machine. Hence the difference in time complexity is polynomial and not exponential.
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Describe the computational power of a single tape Turing machine compared to a nondeterministic single tape...
Describe how the universal Turing machine locates a particular instruction on its description tape
(a) Give a high level description of a single-tape deterministic Turing machine that decides the language L = {w#x#y | w ∈ {0, 1} ∗ , x ∈ {0, 1} ∗ , y ∈ {0, 1} ∗ , and |w| > |x| > |y|}, where the input alphabet is Σ = {0, 1}. (b) What is the running time (order notation) of your Turing machine? Justify your answer.
Formally describe a 2-tape deterministic Turing Machine that accepts strings on the {0,1} alphabet. Such strings have the number of "0" double than "1".
Describe a Turing Machine that will read its input tape as a binary number n and produce on its tape the binary representation of n + 1. That is, the TM will be a subprogram that will add one to an input number. This description could be a formal TM that does what is asked. It could also be slightly less than totally formal provided it is crystal clear what is happening.
Give the state diagram for a single-tape Turing machine for the following language. L = {a#b#c | a, b, c ∈ { 0 , 1 }∗ and a,b,c all have the same number of zeroes} Assume Σ = { 0 , 1 }
4. (6 pts) Give an implementation-level description (describe how you would move the tape head, what you write on the tape, etc) of a Turing machine that decides the language (w w contains an even number of Is) over the alphabet (0,1) 4. (6 pts) Give an implementation-level description (describe how you would move the tape head, what you write on the tape, etc) of a Turing machine that decides the language (w w contains an even number of Is)...
5. Two tape Turing machine both tapes initially contain (A+B+C)* each tape is read sequentially at the same time, e.g. position 0 on both tapes, then position 1 on both tapes etc. if the characters match on both tapes at one specific position then nothing is changed if the characters do not match then the characters are swapped.
Subject : Theory of Computation Please answer , posting second time now cause nobody answered it previously Problem 3: Turing Machine Models Turing-Recognisablity and Decidability [20] a. Show that an FA with a FIFO queue is Turing universal (i.e equivalent in computational power to a Turing machine). You should regard this machine as being formally defined in a way that is very similar to a PDA, except that on each transition, instead of pushing and/or popping a character, the machine...
1. Describe a Universal Turing Machine, and explain the significance of such a machine. 2. Explain the difference between countable and uncountable sets. 3. Explain the difference between recursive and recursively enumerable languages. 4. Describe the halting problem for Turing Machines and explain its significance to the field of Computer Science. 5. Is there a difference between the concepts of decidability and computability? If not, explain the concept. If so, explain the difference.
Describe a Turing machine that decides L5 = {0^3^n |n ∈ N} – the language consisting of all strings of zeroes whose length is a power of 3.