Question 38 The correct statements are: If If If If Ø, then Σ* has a subset that is not regular. Ø, then * 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.
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- Let S(x,y) be the statement "student x likes soft drink y" , where the domain for x consists of all students at your school and the domain for y consists of all soft drinks. Use quantifiers to express "Not every student likes tea and soda." 5.2.a Σ : {c,A,G,T}, L = { w : w = CAG™T™C, m = j + n }. For example, CAGTTC E L; CTAGTC ¢ L because the symbols are not in the order specified by the characteristic function; CAGTT ¢ L because it does not end with c; and CAGGTTC € L because the number of T's do not equal the number of A's plus the number of G's. Prove that L¢ RLs using the RL pumping theorem.Let L₁ = {aa, bb}, L₂ = {A, a, aa}, L3 = {x | x = {a,b}* ^ |x| ≤ 3} = {A, a, b, aa, ab, ba, bb, aaa, aab, aba, abb, baa, bab, bba, bbb}. Evaluate: (L₁n L3) · L2 = •
- Bus timetables specify to the second the exact arrival and departure time of each bus on each stop. You need to pay for the full fare of every bus you ride and different bus lines charge different fees , but they are flat fees (independent of distance travelled on the line) A travel plan is a sequence of stop-time pairs where stop is a location of a bus stop and time is when we arrive at that stop. The plan is feasible if for any two consecutive pairs (a, t) and (b, t′) in the plan there exists a bus that departs after t and arrives at b at exactly t′. That is, a travel plan does not allow us to walk between stops. Assuming that no two buses arrive at the same time at the same stop, a feasible plan uniquely identifies the bus lines that we need to take to realize the plan. The cost of the plan is the sum of the fares we need to pay. Your task is to design an efficient algorithm that given a departure time t, an arrival time t′, an origin stop a and a destination stop b, finds the…1. Determine |A|, where: {z} b. A = {{z}} _d. A = {z, {z}, {z, {z}}} _e. A = P({z}) _f. A = P({Ø,z}) a. A = _c. A = {z, {z}}Bus Loading Problem. You are in charge of filling busses with passengers at a bus terminal. Each bus has space for ten (10) passengers. Four (4) of those spaces can hold only wheelchair passengers, and the other six (6) can hold only non-wheelchair passengers. Busses and both types of passengers arrive at random. As busses arrive, you are to fill them up with passengers. Once a bus is full (containing 6 non-wheelchair, and 4 wheelchair passengers), it is allowed to leave the terminal, along with its passengers. You are responsible only for loading the passengers on the bus and having the bus depart. You do not need to worry about what happens to the busses or passengers after they leave. Each bus process has available to it the functions ArriveAtTerminal(), OpenDoors(), CloseDoors(), and DepartTerminal(). Each passenger process has available to it the functions ArriveAtTerminal() and GetOnBus(). Executing GetOnBus() loads the passenger on the bus, and the function returns when the…
- We are given the following corpus: 1. the green book STOP 2. my blue book STOP 3. his green house STOP 4. book STOP Assume we compute a language model based on this corpus using linear interpolation with A; = for all i E {1, 2, 3}. What is the value of the parameter qLE (book the, green) in this model to three decimal places? (just enter the value with a leading zero) (Note: please include the STOP symbol in your unigram model.)Q3: Superheroes Supervillains are tired of Toronto condo rental prices, so they are leaving Toronto for Mississauga. Luckily, we have valiant superheroes that can deal with them. The superhero () has a name , an intelligence score , and a strength score .ni-th0 = gin[x] + s[x] Detective Zingaro has asked for your help. For each of the supervillains, tell him the name of the superhero that should deal with that supervillain. Note: A superhero can be assigned to multiple supervillains (or none at all). Note: whenever there are multiple superheroes that satisfy the given requirements for a supervillain, report the one whose name is lexicographically smallest (i.e. the one that’s the smallest according to Python’s ordering of strings). It’s guaranteed that superheroes have distinct names. Hint: Tuples of multiple elements may be helpful here. In python, you can compare two tuples and . If and are different, the result is the same as comparing and . If and are equal, the result is the same…python program that checks if a clause set is satisfiable or not by running through all truth assignments. If it is satisfiable it should print one satisfying assignment. For example [1], [1,-1],[-1.-2] prints out either [1, -2] or [-2,1]
- Let the domain of discourse be all courses ever offered at CSUMB. Translate "no upper-division class is a prereq for a lower-division class" using this translation key: Lx x is a lower-division course Ux x is an upper-division course Pxy x is a pre-requisite for y a CST329 b CST238 C CST334 Use A and E for the quantifier symbols, just like we do with the proof checker. Your answer should be the formula and nothing else.10. Draw a DFA of strings where the 2nd last symbol is a. Σ= {a,b} [You may draw the NFA for this problem if you find it difficult to solve using DFA] Or, Draw a DFA of strings where the 3rd last symbol is 1. = {0,1} [You may draw the NFA for this problem if you find it difficult to solve using DFA]Let I(x) be the statement "x has an Internet connection" and C(x, y) be the statement "x and y have chatted over the Internet," where the domain for the variables x and y consists of all students in your class. Use quantifiers to express each of these statements. i) Everyone in your class with an Internet connection has chatted over the Internet with at least one other student in your class. ii) Someone in your class has an Internet connection but has not chatted with anyone else in your class. Express each of these system specification using predicates, quantifiers and logical operators if necessary. i) There are at least two paths connecting every two distinct end points of the network. ii) No one knows the password of every user except for the system administrator who knows all password.