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please give a formal proof in second order logic, don't give an informal proof
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- Need correct answer else downvoted Construct CFLCompute the weakest precondition for the following assignment. a = 2 * (b - 1) - 1{a > 0}L2= {1010 10ª | a ≥ 0} 5. () Using L₂ from the previous problem, is L₂ € Eo? Circle the appropriate answer and justify your answer. YES or NO 6. () Using L₂ from the previous problem, is L₂ E₁? Circle the appropriate answer and justify your answer. YES or NO
- Consider the following predicates:Student(x): x is a studentSmart(x): x is smartLoves(x, y): x loves yTakes(x, z): x takes zand the following domains:domain of x and y: {all UB students}domain of z: {the courses offered by UB CSE}Express each of the following statements using quantifiers, logical connectives, and the predicates givenabove. You may use variables, other than x and y, when/if needed.Note: Alice and Bob are UB students. CSE115 is a course offered by UB CSE.a) There exists a smart student.b) Every student loves some other student.c) There is a student who is loved by every other student.d) Alice doesn’t take CSE 115.e) No student loves Bob.Let A = {a, b, c}, B = {x, y}, and C = {0, 1}. Identify B × B × B.Racket (define (arg-max f a)(define (helper f a m v)(if (null? (car a)) v(if (> (f (car a)) m)(helper (f (car a)) (cdr a) (= m (f (car a))) (= v (car a)))(helper (f (car a)) (cdr a) m v))))(helper f a 0 (car a))) (define (square a) (* a a))> (arg-max square '(3 2)). . application: not a procedure;expected a procedure that can be applied to argumentsgiven: 9> I want to create a helper function to return the most argument a, but I find this error when debugging, the error is located in inner if condition '(> (f (car a)) m)'. My parameter f would be a function and has one parameter from list a. How can I modify my code? Thanks!
- 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.Members of Set A = {Monday, Tuesday, Wednesday, Friday, Saturday, Sunday} What is the cardinality of St A ?Required: Amitabh had a magical cat. That cat once fell down an empty well. As the walls of the well were not completely vertical, the cat could climb up the well. In one day, the cat can climb 1 unit height and the height of the well is h units. The cat starts at the bottom. Every day, a cat would divide into 2 cats. One of them would climb up 1 unit. The other would wait for help. But while waiting it would fall asleep and roll down 1 unit, unless it is already at the bottom, in which case it just remains there. When a cat would reach the top, it would run home toAmitabh. (Schrodinger doesn't know that some of the cats are in a well and so he can't rescue them). It has been d days since the cat fell into the well. How many cats would come out of the well today? You would notice that the number of cats grows very large with each passing day, so output the answer modulo 10^9+7. d = 0 means that the cat has fallen just now and so there's just one cat at the bottom of the well. So you…
- If A = {1, 2, 6} and B = {2, 3, 5}, then the union of A and B isQUESTION THREEConsider the thirsty person problem given below: To drink, a thirsty person must have three things; water, ice and a glass. There are three thirsty people, each having a different one (and only one) of the three required items. A fourth person, a server has unlimited supply of all three items. If nobody is drinking, the server places two of the three items (chosen at random) onto table. Thirsty person who can make a drink from those two items will pick them up and drink a glass of ice water. When done, thirsty person will notify the server and the process will repeat. Write a process that will control the thirsty person and the server using semaphores. (i) What is a critical section in code?Explain the three properties that any solution to the Critical Section Problem should guarantee.Explain the role the Operating System plays in Garbage-In-Garbage-Out (GIGO).PEARHEAEGANEHNA 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 let x = "me"; let y = 3; let z = myFun (x, y) alert(z); z=plusOne(plusOne (y)); alert(x); function myFun (a,b){ alert (b); moreFun(); return b* a. length; } fucntion moreFun () { } alert(y); function plusOne (c) return c + 1