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

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: 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: For a Turing machine M, (M) refers to the binary representation of M. For a Turing machine M, L(M)…

A: ForL is unrecognizable, condition is that  there is no Turing machine that can take decisions  in L.…

Q: Prove that the language L over {a,b,c}",given by L= {wcv: |w\a = [vl6} is recursive. You must…

A: The language Lover (a,b,c} *, given by L = {wev: [wla = [vlo} is recursive. A Turing machine that…

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: 7. Let ContertFreetM = {(M) | M is a Turing Machine and L(M) is context frce }. Show that Contert…

A: A reduction machine on input M,w: 1. Constructs the following machine M':    Read input x. IF x has…

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: Is the R = {k such that the Turing machine Mk accepts at most k inputs} recurisve?

A: R = {k such that the Turing machine Mk accepts at most k inputs}  Is it recursive or not ! Answer is…

Q: B: Is the following language decidable? If yes, give the outline of the Turing machine to solve it?…

A: ANSWER:- FOR SOLUTION SEE STEP NO. 2

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: Given S = {x, y, z}. Prove following language L is decidable: L = {u E S * : u has the same number…

A: We are given a language and we have to prove that the given language is decidable. Please refer to…

Q: heorem: Every initial function is a Turing computable. Prove it.

A: computable function: this functions are used to discuss the computability with out any reference to…

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

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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: c: Is the following language decidable? If yes, give the outline of the Turing machine to solve it?…

A: Solution for above question is solved in step2:-

Q: Please Prove whether it is True or False. There are finitely many finite languages.

A: A regular language is composed of finite number of equivalence classes in which the string can be…

Q: D:ls the following language decidable? If yes, give the outline of the Turing machine to solve it?…

A: Solution is given below :

Q: Consider the language L = {hMi | M is a TM and |L(M)| ≥ 3}. Show that L is Turing-recognizable.…

A: Hey there, I am writing the required solution of the questin mentioned above. Please do find the…

Q: Draw Turing machine that recognize ={0,1}, and {w|wEΣ* and |w| is even}

A: Complete answer is below:

Q: Consider the given language L. Show that L is Turing-recognizable.

A: A language is turing recognizable if some turing machine recognizes it. What does recognize mean ?…

Q: The given problem is from theory of computation. Full explanation will be given a happy upvote.…

A: Solution:--   1)The given question based on the explanation to be given on the given topic in the…

Q: Prove that the following language is non-regular, using the Pumping Lemma. L = {ambcr | m, n, r =…

A: The pumping lemma is a fundamental result in formal language theory that provides a way to prove…

Q: Prove that L = {ww|w ɛ (a, b)*} is not context-free. Then, design a Turing Machine that accepts L.

A: Given language is, L={ww| w ∈(a,b)+} Set of input alphabets={a, b} The language is said to be…

Q: Let L={ | G is a CFG, M is a TM, and L(M) is a subset of L(G)}. Classify L as (a) decidable (b)…

A: Answer is given below-

Q: Show that the language K = {(M) | M is a TM and does not accept (M)} is not Turing-recognizable.…

A:

Q: Problem 2. Proving Undecidability with Reducibility Consider the following language, L5 = {(M)| M is…

A: The question is to Showing that deciding whether a given TM accepts a word of length 5 is…

Q: Consider the question of whether a Turing Machine T, on any input for which it does halt, always…

A: A Turing machine consists of a tape of infinite length on which read and writes operation can be…

Q: L = { | A and B are PDAs and L(A) L(B) } a) prove that L is undecidable b) Prove that L is not…

A: Solution :a) we know that language accepted  by a PDA is a Context free language.L(A) & L(B) are…

Q: Show that the language L = {ab"ab: n>0} is regular. %3D

A: Regular Expression: A regular expression is exists for all the regular languages. A regular…

Q: 0i12i | I >=0 is not regular.

A: REGULAR GRAMMAR I)A language is regular only if a regular language can be generated grammatical.…

Q: What does the Pumping lemma for regular languages say?

A: Explanation:   Pumping lemma is used to prove a given language is non-regular. It doesn't prove that…

Q: Prove that the below two definitions of NP languages are equivalent. 1. Define Verifier NP = {L|L…

A: The definition of NP in terms of verification can be formally stated as follows: A language L is in…

Q: Draw out a determinism Turing machine that computes a mapping reduction from L1 ≤ m L2 where L1 ＝…

A: