For any string w = wi w2 .. Wn, the reverse of w, written w", is the string w in reverse order, w, wzW1. For any language A, let AR = {w*| w € A}. Show that if A is regular, so is AR.

Q: Give a regular expression for the language of all strings over alphabet {0,1} that have exactly…

A: Given: A regular expression for the language of all strings over alphabet {0,1} that have exactly…

Q: For any string w over ∑, writing its individual symbols so that w = w1w2…wn, we define the reverse…

A: Given: w = w1w2…wn with wi ∈ ∑ for 1 ≤ i ≤ n, Reverse of w is denoted by wR . wR = wn…w2w1 Let A be…

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: Let L be the language over the unary alphabet Σ = {1}consisting of all strings whose length is the…

A: Step1 take the string of the langauge which is greater than or equal to n Step2 : verify all…

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

A:

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: 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: 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: 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: 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…

Q: Suppose L = {wlw does not contain the substring 11 is a language over the alphabet {0, 1}. Prove…

A: To formally prove that the language L = {w | w in {0,1}* and w does not contain the substring "11"}…

Q: Draw a deterministic finite automaton (DFA) that recognizes the language consisting of strings over…

A: Solution: DFA that except exactly two a's (which not be consecutive) and any number of b's or…

Q: Consider the language L = { 3x such that x = L(M₁) L(M₂)}. Show that L is not decidable.

A: To prove that the language L is not decidable, we need to show that there is no Turing machine that…

Q: Exercise 6 (Ex. 17, Chapter 2 of (Martin; 2011). Let L be the language AnBn = (a"b" In2 0). a. Find…

A: Let  L ⊆ Σ * be any language and Two strings 'x' and 'y' belong to it now language L is called…

Q: For any string w 6=/ E, the principal suffix of w is the string resulting by removing the first…

A: Deterministic limited automata (or DFA) are limited state machines that acknowledge or dismiss…