Design a DPDA M as a two-tape turing machine such that L(M) = {anbn : n>=0}
The language should be like,
On input string w, while there are unmarked a's,
then do
Mark the left most a
Scan right till the leftmost unmarked b;
if there is no such b then crash
Mark the leftmost b
done
Check to see that there are no unmarked b's;
if there are then crash
accept.

Design a DPDA M as a two-tape turing machine such that L(M) = {anbn : n>=0}
Is a four-tape Turing Machine more powerful than a two-tape Turing Machine? Explain why
Is a four-tape Turing Machine more powerful than a two-tape Turing Machine? Explain why
Construct a two-tape TM that accepts L = { anbn cn | n ≥ 1}
Construct a Turing machine with one tape, that accepts the language {02n1n: n ≥ 0}. Assume that, at the start of the computation, the tape head is on the leftmost symbol of the input string.
Design a TM (Turing Machine) which writes the reverse of the
input word on the tape after reading the first blank after the
word. The input alphabet is = { &, c, d), and assume the word
starts with &, then with a word from (c+d)*
As an example: input tape is &ccdd..., after
executing the Turing Machine, the tap would contain
&ccddddcc
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Define a 3-tape Turing machine M that implements multiplication
Describe the computational power of a single tape Turing machine compared to a nondeterministic single tape Turing machine. In particular, discuss the time complexity of a single tape Turing machine that simulates a single tape nondeterministic Turing machine. Is the difference exponential or polynomial? . .
Automata, Languages, and Computation
Design a Turing machine that recognizes the language For example, 0$01 e L, 10$010 E L, but 100810101乒L. Describe the High Level algorithm informally and define the corresponding Turing Machine in details.
Design a Turing machine that recognizes the language For example, 0$01 e L, 10$010 E L, but 100810101乒L. Describe the High Level algorithm informally and define the corresponding Turing Machine in details.
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, w1 = @w#w.
Let h(n) =1 if n codes a Turing machine M which halts when started on a blank tape, h(n) =0 otherwise. Sketch a proof that h is not Turing computable.
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 }