2.48 Let Σ = {0,1}. Let Ci be the language of all strings that contain a 1 in their middle third. Let C₂ be the language of all strings that contain two is in their middle third. So C₁ {xyz x,ze and y = "1", where |x| = |z|≥ y} and C2 = {xyz|x, z EΣ* and y Є *12*12*, where |x| = |2|≥ |y|}. = a. Show that C₁ is a CFL. b. Show that C2 is not a CFL.
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Could you assist me with question 2.48 and the parts that come along with it, I'm having difficulty with this particular problem and would greatly appreciate your guidance as I'm unsure of the required steps. If possible, please indicate which section relates to part A and part B in your explanation and work calculations for both parts as well.
Can you please label the parts so I know which part is part A and which one is part B.
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- Let A = {a, b, c} and B = {u, v}. Write a. A × B b. B × ALet H(x) = "x plays hockey". Let B(x)= " plays basketball". Which statement below means "No one who plays hockey also plays basketball"? OVx (-H(x) A-B(x)) OVx-(H(x) v B(x)) OVx-(H(x)→ B(x)) Ox-(H(x) ^ B(x)) O¬3x (H(x) ^ B(x))1. Let L = {w {a, b}* : w contains bba as a substring that starts in an odd numbered position in the string (where numbering starts at 1)}. For example, bbbbaaaab L, while bbbaaaab L. Show an NDFSM that accepts L
- Set B = { a,b,c,d} and Set C = {b,d,f,g}. Find B U C.Let L = {w = [a, b}*: every a in w is immediately followed by at least one b}.L1={u €E•[u ends with aa}. 12 = {u €E•[u ends and begins with different letters }. L3 = {u €I•|u contains abba). L4 = {u €E•[u is of the form anbamfor n,m> 0}. Given the above languages: (a) Use the set operators 'union' and 'complement' to describe L5 = L1 n L2. (b) Prove that L5 is regular.
- Python only Rajesh loves lucky numbers. Everyone knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, the numbers 47,744, 4 are lucky and 5, 17,467 are not. Let Fa(x) equal the number of digits d in the decimal representation of the positive integer x. Chef is only interested in F4(x) and F7(x) functions. For a given positive integer N, he wants to know the total number of distinct pairs (L; R) such that F4(L) + F4(L + 1) + ... + F4(R) equals F7(L) + F7(L + 1) + ... + F7(R) and 1Assignment Content Given two strings s and t, determine if they are isomorphic. Two strings s and t are isomorphic if the characters in s can be replaced to get t. All occurrences of a character must be replaced with another character while preserving the order of characters. No two characters may map to the same character, but a character may map to itself. Example 1: Input: s="egg", t = "add" Output: true Example 2: Input: s="foo", t = "bar" Output: false Example 3: Input: s= "paper", t = "title" Output: trueLet A ={a, b, c} and B ={a, b} a. Is A a subset of B? b. Is Ba subset of A? c. What is A U B? d. What is A n B? e. What is A n B ? f. What is A x B?4. Let L = {a" blak|k1. Consider the sets: U = {A, B,C,D, E, F,G, H,I,J}, A = {A,C, E} and B = {B,C, D, F,G}. Write the set corresponding to each of the following): (a) AnB (b) AUB (c) | AU B|| (d) A\B (e) B\ALet L = { w | w cannot be written as st#ts with s, t {a, b}* }. Show that L is not regular.SEE MORE QUESTIONSRecommended textbooks for youDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSONC How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag…Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill EducationDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSONC How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag…Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education