Exercise 5. Regular LanguagesThis exercise relates to languages of words over the alphabet {a, b}.For a given word w, Jwr| is the number of occurences of the character x in the word, i.e. ifabaab, then JwalW =3 and wb| = 2.For each the languages below either(i) give a DFA that recognises the language;OR(ii) provide an argument as to why a DFA that recognises the language cannot be produced(a) All words w s.t. wa| > |w6|-(b) All words where the following equality holds:|wa| mod 2= wo| mod 2

DFA: DFA stands for Deterministic Finite Automata. The finite automata are called deterministic…

Answered: This exercise relates to languages of…

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Question 38 The correct statements are: If If Σ □ If If Ø, then Σ* has a subset that is not regular. Ø, then Σ* has a subset that is not context free. Ø, then Σ* has a subset that is not in D. Ø, then Σ* has a subset that is not in SD.
2. Let RE be the set of regular expressions over alphabet E = {0, 1}, and for r E RE, let L(r) be the language denoted by r. Consider the claim: VL E P(E*),Vr1, r2 E RE, (|L(r1)| > 1 A L \ L(r2) = L(r1)) = L is regular Either prove this, or find L, rı and r2 that provide a counter-example.
Use the Pumping Lemma to show that the language is not regular.. L = {0i10i | i >= 1}
do the 7
2. What is the TG corresponding to the language of strings, over alphabet {a, b}, that are composed exactly of odd repetition of the substring ab, i.e. sample strings of this language are ab, ababab, ababab, etc.
Develop a system/application in Prolog that will allow grader to: load a set of student’s grades (see samples from the Table C below) query student’s final letter grade (A, B, C, etc.) by a given student’s name. query student(s) whose grade matches to the input letter grade (e.g., A). For example, show student(s) whose final letter grade is A. There are 3 types of grades for each student—HWs, Exams, and Project, with a weight of 20%, 40% and 40%, respectively, to the 100-point final. Table A and B show how the final grades (in points and letter) are computed. Table C shows samples of students’ grades. You will define the execution instructions to answer the following questions so that grader can test out your application in Prolog: how to load your source code to Prolog runtime/compiler how to load students’ grades to Prolog runtime/compiler how to query student’s letter grade how to query student(s) whose letter grade matches to an input letter grade Please DO NOT hard code any…
Let C(x. v) be x is enrolled in y, where the domain for x is the set of all students at a certain university and the domain for y is the set of all computer science classes being offered at the university. Match each English statement with its equivalent logical expression. ? v 1. No one is enrolled in both CS222 and CS252. A. -3x(C(x, CS222) ^ C(x, CS252)) B. C(Sarah, CS232) C. Ex(C(x, CS222) v C(x, CS252)) D. Vx3yC(x, y). E. 3yVxC(x, y) F. -Vx(C(x, CS222) A C(x, CS252)) G. VyC(Sarah, y) H. 3XVYC(x, y) 1. 3x(C(x, CS222) A C(x, CS252)) J. ByC(Sarah, y) v 2. Everyone is enrolled in some computer science classes, ? v 3. Sarah is enrolled in some computer science class. ? v 4. Someone is enrolled in all domputer science classes. v 5. Someone is enrolled in both CS222 and CS252. ? v 6. There is one class that is enrolled by all students.
1) Given the following English descriptions of a language, write a regular expression that defines the language, and draw the state diagram of a DFA that accepts the language. For all languages, let Σ = {a, b}.a) The language consisting of all words having a number of a's that is a multiple of 3.b) The language consisting of all words that contain "babb".c) The language consisting of all words that end in "ba".d) The language consisting of all words that do not end in "ba".
Is the language composed of all strings over the alphabet {a,b} that contain an odd number of a's a regular language? If so, show why. Note, again, that you may use any line of argument on regular languages, e.g., by drawing the FSA,or by using Closure properties of regular languages, along with the fact that the language is regular
Write a classifier algorithm for p(Y |X,α)
Suppose LS {a, b}* is defined as follows: A e L; for every x and y in L, the strings axb, bxa, and xy are in L. Show that L= AE B, the language of all strings x in {a, b}* satisfying na(x) = n¿(x).
Let language A= {w | w can be written ajbk where k is a multiple of j.}. a. Show that Ais not regular.

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This exercise relates to languages of words over the alphabet {a, b}. For a given word w, wr| is the number of occurences of the character x in the word, i.e. if abaab, then |wal = 3 and |wo| = 2. W = For each the languages below either (i) give a DFA that recognises the language;