1) Give a Turing machine that recognizes the language L = {ai b³ ck | i≤j≤ k} .
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- 10 Consider a Turing machine that cannot write blanks; that is, for all λ(qi, a) = (qj, b, L or R), b must be in Γ- {□}. Show how such a machine can simulate a standard Turing machine.. Define a Turing Machine that accepts the following language:L = {w ∈ {!, }∗| w = vw'v where v, w' ∈ {!, }∗, |w'| = 2, and |v| = 3}Determine a Turing machine for the language L = {ww_ | w is a string of 0s and 1s} where w_ is the reversed string of w. If w = 011, then w_ = 110. The Turing machine must therefore check whether the input string x belongs to the language L. Draw a Finite state machine
- Determine a Turing machine for the language L = {ww | w is a string of 0s and 1s} where w is the reversed string of w. If w = 011, then w = 110. The Turing machine must therefore check whether the input string x belongs to the language LSuppose we make the restriction that a Turing machine must always write a symbol different from the one it reads, that is, if δ(qi; a) = (qj ; b; L or R), then a and b must be different. Does this limitation reduce the power of the automaton? Explain.Construct a Turing machine that semi-decides the language ac*bc*a. Does the same machine also decide this language? Explain why.
- Please draw out a DETERMINISTIC Turing MachineConstruct a Turing Machine M, which accepts the language L = {w|wea²b²m,n=m21) over the alphabet (a, b).Fact: ATM {{M, w) | Turing machine M accepts w} is undecidable. So is HALT {(M, w) | Turing machine M halts on w}. = Prove that the following language is undecidable. Here M is a Turing machine. L= {(M) | M halts on at least one input and infinite loops on at least one other input} .
- Construct a Turing Machine that accepts the language L defined as follows: L = { w: num, (w) #num,(w) }.Let T be the Turing machine defined by the following 5-tuples:(s0, 0, s1, 0, L)(s0, 1, s1, 0, L)(s1, 0, s2, 1, R)(s1, 1, s1, 1, R)(s0, B, s1, 1, R)(s1, B, s2, 0, R)(s2, 0, s3, 1, R)(s3, 1, s3, 1, R)(s3, 0, s4, 0, R)For the following tape, determine the intermediate tapes, states, and head positions; and final tape, state, and head position when T halts. Assume T begins in the initial position.states0 | B | B | 1 | 0 | 0 | B | B | B |Consider L={(TM) | TM stands for the Turing machine, which halts on all input, and L(TM)= L' for some undecidable language L'}. The encoding of a Turing machine as a string over the alphabet 0-1 is (TM), and L is? decidable and recursively enumerable decidable and recursive decidable and non-recursive undecidable and recursively enumerable