For a Turing machine M, (M) refers to the binary representation of M.For a Turing machine M, L(M) contains the set of all strings accepted by M.For a Turing machine M and an input x € {0,1}*, Steps(M, x) refers to the number of steps takenby M to execute on x before it halts. Here, one step of execution of M on x = one movement (left orright) of the tape head.For a Turing machine M and an input x = {0,1}*, we define the following:ReachCells(M,x) = {i : M reaches ith tape cell when M is executed on x}Informally, it contains all locations on the tape that are visited when M is ecuted on x. Theleftmost location on the tape is the first tape cell, the location next to it is the second tape cell, and soon.A string w₁ is an anagram of w2 if w₁ can be obtained by rearranging the alphabets of w2. Formally, ifw₁ is an n length string, wê is called an anagram of w₁ if there exists a permutation à on n elementssuch that π(w₁) = W2. Let L be defined as the following language over {0, 1,2,3}*:L = {0m1n-12n+13m: n ≥ 1, ≥ 0}.Describe a PDA that recognizes L.

A Turing machine which consists of a finite state control unit and that the tape which it is divided into cells that also used to expands infinitely in both directions. The control unit which it is in one state of finitely many different states at any one step which has read and write capabilities on the tape as the control unit moves left and right on the tape. A Turing machine that it is the most general model of computation. They can model all computations that are performed on a computer.Given language is, L={0m1n-12n+13m : n>=1, m>=0}The set of input alphabets are {0, 1, 2, 3}Resultant PDA (Push Down Automata) for language L is:Hence resultant pda is: