That is all that was given. Given the following Turing machine, what is the language accepted?...
a) What language is accepted by the Turing machine d(%-a)-(%-a, R), d(%-a)-(9-a, R). (5) Design a Turing machine that will accept language OL-L6.a) (6) Design a Turing machine that will calculate fx)-3x. You must show the representation of s and 3x on the tape of Turing machine when the calculation starts and ends, respectively Extra Questions (20 points) 1. Fill the proper words in the blank (1) Given alphabet Σ, a language on Σ isa (2) Given a grammar G,...
What is the language of accepted strings by the below Turing machine? {a*b*} {ambn | m, n ≥ 0} {ambm | m ≥ 0} {ambnam | m, n ≥ 0} This Turing machine is non-deterministic, so it cannot accept a deterministic language. ( R) go 9 q 93 (9,X, R) (91a, R) (qa, a, L) (hra, R) (h. b, R) (92. y, L) Ø (h. 6, R) 0 0 (qox, R) 0 (93, y, R) (. y, R) (92 y,...
Show that the language A = {<M1> | the language accepted by the Turing Machine M1 is 1*} is not decidable. Present your proof in the style of the proof of Th. 5.3, which shows below. PROOF We let R be a TM that decides REGULARTm and construct TM S to decide ATM. Then S works in the following manner. S - "On input (M, w), where M is a TM and w is a string: 1. Construct the following...
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 }
Consider the language LOOPS = {<M,w> | M is a Turing machine and M loops forever on input w} Is LOOPS Turing decidable? Explain why or why not. Is LOOPS Turing recognizable? Explain why or why not.
Answer and explain your answer QUESTION 5 A Turing machine M with start state go and accepting state of has the following transition function: 1 8(q,a) 0 B 40 (90,1,R) (91,1,R) (9f,B,R) 91 (42,0,L) (42,1,L) (92,B,L) 42 (90,0,R) 9f Deduce what M does on any input of O's and I's. Hint: consider what happens when M is started in state qo at the left end of a sequence of any number of 0's (including zero of them) and a 1....
Give the state diagram of a Turing machine that accepts the following language over S = {0,1}: {0m1n: m > n ≥ 0}
Specify in detail a (deterministic) a Turing machine that accepts the language L = a* ba* (your Turing machine must halt on input w if, and only if, w € L). Remember: since your machine is deterministic, it must have a well-defined behavior for any possible symbol of the input alphabet, i.e, a, b, and #, in each state, except that you only need to ensure that your Turing machine behaves correctly when started in the configuration (s, #w#). Thus,...
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}*}.
Give the implementation-level description of a Turing machine that decides the following language over the alphabet a, b, c^. You are encouraged but not required to use a multi- tape and/or nondeterministic Turing Machine. Lan n s a positive integer )