that a final state of a Turing machine T is a state that is not the first state in any of the 5-tuples that make up T. Construct a Turing machine that recognizes the set of all bit strings that end with the sequence 010. Write down 5-tuples for the Turing Machine

Create a Turing Machine where the alphabet is { a b c } and L be the language of all words in which all the a's come before the b's and there are the same number of a's as b's and arbitrarily many c's that can be in front, behind, or among the a's and b's. These strings should be accepted ab abc acb cab cacbc caaccbcb caabcb ccacaabcccbccbc These strings should be rejected a b c ba bab abab abbab bbbbaab bbbbbbbbb aaaabbbbb aaabbbbaaabbbb   Handwroitten weill work.

Construct a deterministic two-tape Turing machine, which begins with a string of the form an on the first tape, and a string of the form am on the second tape. (n, m ∈ N.) Both heads begin scanning the left-most character of each string. The Turing machine should accept if the number n is an integer multiple of the number m; i.e. there is some integer k such that n = k · m. First, describe the algorithm that your machine uses. Then draw a transition diagram for the machine. To answer properly, your machine should handle the cases when either n or m is zero correctly.

Question #1: Construct a Turing Machine that accepts the language L defined as follows: L-[w: w) is a multiple of 4; we (a,b)").

2) Recall that a final state of a Turing machine T is a state that is not the first state in any of the 5-tuples that make up T. Construct a Turing machine that recognizes the set {0²n1n | n ≥ 0}. Write down 5- tuples for the Turing Machine. (You will not receive credit if you only draw an FSM.)

Design a Turing machine M that decides the language L = {0n1n|n> 0}.

The reverse function maps a string w to wR. Draw a multi-tape Turing machine that computes the reverse of a binary string. That is, given a binary string w as input, your Turing machine should compute wR, write the result to tape 1, and halt.

Create a formal definition of the language that a Turing machine can understand by writing it out using the set notation.

LetΣ ={a, b}. LetL={aibai|i≥0}.Give a Turing machine (TM) that accepts the languageL.Assume (as in the examples done in our course videos) that, when theTM starts, the head is on a blank symbol,∆, and the input string isimmediately after that blank symbol on the tape. For example, if theinput string wereaaabaaa, then the inital tape configuration would be∆aaabaaa

T/F Any set of strings that can be described by a regular expression can be recognized by a Turing machine.    T/F Any set of strings that can be recognized by a Turing Machine can be described by a regular expression