Prove that L = {ww|wɛ (a, b)*} is not context-free. Then, design a Turing Machine that аcсepts L.

Q: Let T = {(M) | M is a Turing machine which, when started with a blank tape, eventu- ally enters each…

A: Given:

Q: language L = {a i b j c k | i 6= j, j 6= k, i 6= k}; it is not a context- free language. Show that…

A: Given : L = {a i b j c k | i == j, j== k, i == k};

Q: Consider the following variant of Turing machines called tape preserving Turing machines, such that:…

A: A Turing machine recognizing regular languages operates with a finite set of states, an input…

Q: Construct a deterministic two-tape Turing machine, which begins with a string of the form anon the…

A: Algorithm approach- we first scan leftmost side of each tape if it is a we move right until first…

Q: Let TWO_TM = {M : M is a Turing machine that accepts exactly two strings} Let THRE_TM = {M : M is a…

A:

Q: Computer Science Show that the language {M: M is a Turing machine with L(M) to be a finite set} is…

A: The language is given as- FTM = { M | M is a TM and L(M) is finite} Following are the properties of…

Q: Show that the language {M: M is a Turing machine with L(M) to be a finite set} is undecidable. You…

A: The given language is as following- FTM = { M | M is a TM and L(M) is finite} The  Properties of the…

Q: Prove that there exists a fixed Turing machine Mo with input alphabet D = {0,1} such that the…

A: A fixed Turing machine M0 with input alphabet which is undecidable

Q: Let Σ = {0, 1}, and let L10101 ⊆ Σ∗ be a language of exactly all the strings that contain the…

A: Approach to solving the question: To show that the language (L10101​) is undecidable, we can use a…

Q: The xor operation in python programming

A: The xor operator sets the bits true if one of the values of the bit is true otherwise it set the bit…

Q: Let L be a regular language. Show that the following language L' is regular too. L' = {y : 3x € £*…

A: | x | = | y | = | z | xyz € L  L is regular then L' is regular.

Q: Let KCOMMONTM = { | M and N are Turing machines and |L(M) ^Ł(N)| ≥ k}. Show that KCOMMONTM is…

A: Given input <M,w> of , create input <M1,M2,1> for where M1 and M2 are such that L(M1)…

Q: LetΣ ={a, b}. LetL={aibai|i≥0}.Give a Turing machine (TM) that accepts the languageL.Assume (as in…

A: Attached Handwritten Image:

Q: The set of binary strings that when interpreted as a number in binary - are divisible either by 2 or…

A: To construct the DFA for either divisible by 2 and 3 ,first construct dfa for divisible by 2 and…

Q: Let M be the Turing machine defined by Q = {qoq, [= {a,b}, qo= qo₁ = {a,b}, B = nil, F = {qo} d: d…

A: Turing machine: A Turing machine is a mathematical model of computation that was invented by Alan…

Q: • Consider the language S*, where S = {a, b}. How many words does this language have of length 2? Of…

A: Since you are asking multiple questions, we are answering first question for you. If you want to get…

Q: Write FORTRAN90 computer program to ORDER four different integer numbers in decreasing order.

A: Approach Create program Sorting Declare an array of dimension/size 4 Declare other integer elements…

Q: 5. The set of binary strings with I's in pairs followed by at least one 0. Σ= {0,1).

A: It is defined as for each input symbol, one can determine the state to which the machine will move.…

Q: Can we make a graph of a Turing machine like we do for FSM's suprising?

A: A TM is expressed as a 7-tuple (Q, T, B, ∑, δ, q0, F) where: Q is a finite set of states T is the…

Q: Give a Turing Machine that decides { | M is a Turing machine and L(M) is Turing recognizable} (L(M)…

A: Answer: Turing-Decidable Language: A Turing machine M decides language L if L= L(M) and M hats on…

Q: L = {w€ Σ* | w is a string of balanced parentheses}. (4 states) Here, the alphabet is Σ = {(,)}. (In…

A: The complete answer in JFLAP is below:

Q: 3. Let E = {a,b}. For any string non-empty string w, let truncate(w) be the string obtained by…

A: Here,

Q: Show that the language L {w e {a,b}*: n(w) n(w) + 2} is not linear. %3D

A: Answer is given below:-

Q: LetΣ ={a, b}. LetL={aibai|i≥0}.Give a Turing machine (TM) that accepts the languageL.Assume (as in…

A: The complete answer is given below.

Q: Convert the regular expression a = a(bbbua')U(ab’u ba)a into a Finite Automaton A such that L(a) =…

A: Here, we are going to convert the regular expression into a finite automata A which is equivalent to…

Q: uy mput Si M De d integers. We say that M accepts w in space s if M accepts w after accessing at…

A: It is defined as a collection of 7 components: Q: the finite set of states Summation : the finite…

Q: Prove A = { | M and M' are Turing machines and L(M) ∩ L(M') is empty } is not decidable.

A: Introduction:   Assume we have a D for A decider. We could use D to build the following decider for…

Q: Suppose I is a non empty regular language, over Σ, such that every w E L satisfies [w] = k, for some…

A: Given that, non-empty regular language L over the alphabet Σ such that every string w in L satisfies…

Q: Prove that the Independent Set Problem is NP-complete by showing it is polynomially reducible from…

A: There will be two parts: show that Independent Set (IS) is in NP show that IS is NP-Hard.

Q: [Undecidability and Reductions] OVERLAPPING = {{M, D) : | M is a Turing Machine and D is a DFA such…

A: A reduction from ATM to Overlapping is : Input : <M,w> Create a DFA D which accepts only one…

Q: LetΣ ={a, b}. LetL={aibai|i≥0}.Give a Turing machine (TM) that accepts the languageL.Assume (as in…

A: Attached the Handwritten image for the Solution: Image_01:

Q: Prove the following: If a language L is recognized by a Turing machine M that has one…

A: If a language L is recognized by a Turing machine M that has one two-way-infinite single-track tape…

Q: Prove the language L = { |M accepts w in less than 10 steps } is Turing decidable. Note: solution in…

A: A language is Turing decidable, if some Turing machine decides it. What does decides mean ? A…

Q: Q1. You are required to build a Turing machine for the given language is L= {1^n 0^n 2^n} where…

A: Step-1:Replace 0 by X and will move to right, Go to state Q1. Step-2:Replace 0 by 0 and will move to…

Q: Let Σ = {a, b}. Give a DFA/RE, CFG/PDA, a Turing machine, if it exists, for the language L = {w =…

A:

Q: Let Σ = {0, 1}. We define the language L5−8={⟨A⟩∣A is a deterministic finite automaton and…

A: In this problem, we are given a language L5-8, which is defined as the set of all deterministic…

Q: You are required to build a Turing machine for the given language is L= {1 n 0 n 2 n } where n>=1.…

A: Assumption: We will replace the 0 by X, 1 by Y and 2 by Z Approach used  for this language –First…

Q: Let E = {a, b, e}. Let L = {b'eab" |i>0}. (i) Give a Turing machine that accepts L. %3D %3D

A: Our turing machine needs to use ea as midpoint. It needs to make sure that the number of b's before…

Q: Let Σ = {0, 1}, and let L10101 ⊆ Σ∗ be a language of exactly all the strings that contain the…

A: The question is asking us to prove that the language J_10101, which is defined as the set of all…