Let L be a regular language. Show that the following language L' is regular too. L' = {y : 3x € £* 3z € £* such that |x| = |y| = |z| and ryz E L}.

Q: Build a deterministic FA M2 for the following language L2=L(M2)= {x over {a, b, c} | x has at least…

A: This DFA can be made using for States. Below is the answer

Q: Suppose that L is a language on a set A, and that L is finite. Then L is regular.

A: A group of languages is said to be closed under an operation if the result of applying the operation…

Q: Let L = {w#w | w ∈ {a, b}*} be a language. Use the pumping lemma for regular languages to prove that…

A: L = {w#w| w∈ {a, b}*} string generated by this languageare aaab#aaab, babb#babb proof: If possible…

Q: If L is a formal language that contains finitely many strings, the language L,* , which contains…

A: Concatenation of Language P and Q The set of strings that may be generated by combining any string…

Q: Extra Credit: Given any language A, let A₁ = {x | for some y, |x| = |y| and xy = A}. Prove that the…

A: Closure Properties• Recall that we can carry out operations on one or more languages to obtain a new…

Q: 1. Draw the abstract machine M(L), where ɛEL(M). Do there exist regular languages L1 and L2, such…

A: Not to be confused with Virtual machine. Learn more   This article needs additional citations for…

Q: Write a finite automaton  for a language that accepts all words starting with an alphabet character…

A: Automation   State 1:   Input: a   Output: Go to state 2   State 2:   Input: [a-zA-Z0-9]   Output:…

Q: Build a deterministic FA Ms for the following language Ls= L(Ms) = {x over {a, b}| if x contains…

A: Deterministic Finite Automata(DFA):DFA consists of Q - finite set of states∑ - input symbolq0 –…

Q: Consider the language of all strings which contain two consecutive 0 that ? = {11, 111, 110, 011,…

A: We need to find a RE for all strings which contain two consecutive 0.

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: En is the language that contains all and only strings that, in turn, contain nothing but the letter…

A: By definition, a language is regular if some finite automata recognizes it. So if we can prove that…

Q: Suppose that alphabet E = : {a, b} and that L = { w E E* : w = am b" a" bm and m > 0 and n >0} is a…

A: given a language and we have to state that weather the language is context free or not..  to check…

Q: A = {d'b?"\n > 0}. п

A: Pumping lemma is used to show that certain languages are not regular. It should never be used to…

Q: Determine whether A is a regular language or not. Fully justify your answer. Assume = {0,1} and let…

A: In theoretical computer science, regular languages are a category of formal languages that can be…

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

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Q: the first b. 3.The last symbol of the string is d. 4.Each a is immediately fo

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Q: Consider the language of all strings which contain two consecutive 0 that ? = {11, 111, 110, 011,…

A: Hellostudent  I am giving this solution as per my best of knowledge  Please  do upvote for me

Q: (b) Rewriting the difference of the two languages from part (a), using set-intersection and…

A: I have answered this question in step 2.

Q: the language F which contains all natural numbers which are not prime. The numbers in F are called…

A: According to the question, we have to  i. Prove that F is in NP by writing (in pseudo-code) the…

Q: Let L be the set of exactly those strings over the alphabet {a, b, c, g} whose last symbol is either…

A: Given NFA should accept all strings over {a,b,c,g} even length Accepting strings are aa ab abcg aabb…

Q: Consider the language L = {a'b'c* | i # j,j # k, i # k}; it is not a context- free language. Show…

A: Pumping lemma for CFL is used to prove the language is not cfl using some valid string s.  Never use…

Q: Let FH be the set of first halves of the strings in A. FH = {x | xy ∈ A} for some y, and |x| = |y|.…

A:

Q: If L is the set of all strings over Σ = {a,b), which has the form xby, where x is any string whose…

A: answer starts from step 2

Q: Consider the decidable language ALLNFA= {IN is a NFA and N accepts all strings over }. Construct the…

A: Decidable  Some Turing machines never go into an infinite loop, they are always in halt. Turing…

Q: Let L, and L, be decidable languages. Describe an algorithm that decides the language L= L,UL,–(L,n…

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Q: A palindrome is a string that reads the same backward as forward, i.e., w = wR. A palindromic…

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

Q: shoo that Language Le {a"b?c^/nzoy15 not a contert free

A: The Answer is in below Steps

Q: If A is any language, let A 1/3 – 1/3 be the set of all strings in A with their middle thirds…

A: the answer is given below:-

Q: Give a regular expression for the following language of kiswahili verbs: Kiswahili verbs = {imba,…

A: using below rules of regular expressions to generate regular expression for given kiswahili verbs:…

Q: Consider an unknown language with a left-associative + operator that is overloaded to have the…

A: The question involves analyzing an unknown programming language that has an overloaded…

Q: Let Σ be a non-empty alphabet and LCE* be a context-free language. Which of the following languages…

A: reverse_1(L): Given a language L ⊆ Σ*, reverse_1(L) = {xy : ∃x, y ∈ Σ*, x ∈ L and yR ∈…

Q: Let Σ be the alphabet {a,b}. Let L be the language describe by                     Σ∗ −…

A: Here in this question, it asks us to draw Finite automata the accepts the   Σ∗ − (ε|Σ∗b)aa(ε|bΣ∗)…

Q: Let Z = { 0 0 ! , 0 1 ! , 1 0 ! , 1 1 ! }. Decide whether each of the following languages over Σ is…

A: Proof of Contradiction is a form of proof that establishes the truth or validity of a proposition,…

Q: consider the language L = {a^f b^g|f<g} on albhabet E = {a,b}. Show that L is not reguar. %3D

A: The answer is

Q: Let L  be the language over ∑ = {0, 1, 2}. Give the length of L*.

A: Answer String in L* are 0,1,2,21,01,02,12,012,102,201,10,20,210,120,021,12

Q: 2. Let RE be the set of regular expressions over alphabet E = {0, 1}, and for r E RE, let L(r) be…

A: Regular Expressions Just as finite automata are used to recognize patterns of strings, regular…