State diagrams for Turing Machines. Suppose you are given a string w ∈ {a, b}* placed on a Turing...
State diagrams for Turing Machines.
Suppose you are given a string w ∈ {a, b}* placed on a Turing Machine tape. Give the state diagram for the Turing Machine recognizing language: L = {w#w##w|w ∈ {a, b}*}.
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State diagrams for Turing Machines. Suppose you are given a string w ∈ {a, b}* placed on a Turing...
State diagrams for Turing Machines. Suppose you are given a string w ∈ {0,1}* placed on a Turin...
State diagrams for Turing Machines. Suppose you are given a string w ∈ {0,1}* placed on a Turing Machine tape. Give the state diagram for the Turing Machine required to take the initial string, w, and replace it on the tape with a new string, w′. The new string, w′, is formed by shifting the entire input string one cell to the right. Suppose you are given a string w ∈ {0, 1}* placed on a Turing Machine tape. Give...
Give transition diagrams for Standard Turing Machines that accept the following language L = {ww :...
Give transition diagrams for Standard Turing Machines that accept the following language L = {ww : w ∈ {a, b} ∗}
please solve the problems(True/False questions) 25. There is a problem solvable by Turing machines with two...
please solve the problems(True/False questions)
25. There is a problem solvable by Turing machines with two tapes but unsolvable by Turing machines with a single tape 26. The language L = {(M, w) | M halts on input w} is recursively enumerable 27. The language L = {(M,w) | M halts on input w is recursive ne language L = {a"o"c" | n 2 1} in linear time 24. Nondeterministic Turing machines have the same expres siveness as the standard...
Give the state diagram for a single-tape Turing machine for the following language. L = {a#b#c...
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 }
Give state diagrams (pictures) for Turing Machines that decide the following languages over the alphabet {0.1}:...
Give state diagrams (pictures) for Turing Machines that decide the following languages over the alphabet {0.1}: 1. {w | w contains an equal number of 0s and 1s} 2. {w | w does not contain twice as many 0s as 1s}.
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 eve...
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)...
40 points) Please design a Turing machine T to recognize the union of the languages of two Turing...
40 points) Please design a Turing machine T to recognize the union of the languages of two Turing machines Mi and M2. That is, T accepts an input string w, if and only if either Mi or M2 or both accept string w. Please describe the high-level idea (or algorithm) of your Turing machine T. You do not need to draw the low-level state transition diagram of your Turing machine. Note that the difficulty is that Mi or M2 may...
Turing machine that subtracts two from the input string corresponding a ternary number.
Implement a Turing machine that subtracts two from the input string corresponding a ternary number. More specifically, suppose w = an−1an−2 . . . a1a0 is the input string with ai ∈ {0, 1, 2}. Your Turing machine should subtract two from w “in-place”, i.e., at the end of the computation the tape should contain the result, w − 2 and the tape head should be at the start of that string. Upon a successful operation, halt on accept. Otherwise,...
(a) Give a high level description of a single-tape deterministic Turing machine that decides the language...
(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.
5. 20 Points Draw transition diagrams for standard Turing machines that accept the following languages. In...
5. 20 Points Draw transition diagrams for standard Turing machines that accept the following languages. In each case, give a brief description in English of your strategy. (a) Ls {ww w e {a, b}*} (b) Le wu w, и € fа, b}*, |u| 3D lul}
please solve the problems(True/False questions)
25. There is a problem solvable by Turing machines with two tapes but unsolvable by Turing machines with a single tape 26. The language L = {(M, w) | M halts on input w} is recursively enumerable 27. The language L = {(M,w) | M halts on input w is recursive ne language L = {a"o"c" | n 2 1} in linear time 24. Nondeterministic Turing machines have the same expres siveness as the standard...
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)...
40 points) Please design a Turing machine T to recognize the union of the languages of two Turing machines Mi and M2. That is, T accepts an input string w, if and only if either Mi or M2 or both accept string w. Please describe the high-level idea (or algorithm) of your Turing machine T. You do not need to draw the low-level state transition diagram of your Turing machine. Note that the difficulty is that Mi or M2 may...
5. 20 Points Draw transition diagrams for standard Turing machines that accept the following languages. In each case, give a brief description in English of your strategy. (a) Ls {ww w e {a, b}*} (b) Le wu w, и € fа, b}*, |u| 3D lul}
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