Consider the following predicates: Student(x): x is a student of this class Visited(x, y): x visited y Learnt(x,y): x has learnt y ProgL(x): x is a programming language Taken(x,y): x has taken y OfferedBy(x.y): x is offered by y Course(x): x is a course Department(x): x is department Play(x,y): x plays y Sport(x): x is a sport. Express the following statements in predicate logic using given predicates. 1. Some student in this class has visited Mumbai but has not visited Kerala 2. All students in this class have learnt at least one programming language. 3 There is a student in this class who has taken every course offered by one of the departments in this school. 4. Every Student in this class plays some sport.

Consider the following predicates: Student(x): x is a student of this class Visited(x, y): x visited y Learnt(x,y): x has learnt y ProgL(x): x is a programming language Taken(x,y): x has taken y OfferedBy(x.y): x is offered by y Course(x): x is a course Department(x): x is department Play(x,y): x plays y Sport(x): x is a sport. Express the following statements in predicate logic using given predicates. 1. Some student in this class has visited Mumbai but has not visited Kerala 2. All students in this class have learnt at least one programming language. 3 There is a student in this class who has taken every course offered by one of the departments in this school. 4. Every Student in this class plays some sport.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.7: Introduction To Coding Theory (optional)

Problem 1TFE: True or False Label each of the following statement as either true or false. 1. Parity check...

See similar textbooks

Similar questions

True or False Label each of the following statement as either true or false. 1. Parity check schemes will always detect the position of an error.
2. Let P (x, y be the statement "x and y work at the same company" and Q (,y be the statement "x and y uses the same programming language". Which of the following sentences expressses Ey ((x y) ^P (x,y) AQ (2,y)) OFor all companies, there exist two employees who uses the same language. OFor all employees using the same languages, there exist another employee who work at his cormpany. O For all employees of all companies, there exist another employee who uses the same language. OFor all emnployees, there exist another employee in the same company who uses the same language.
8. Give an example of a predicate P(x) and different domains so that the state- ments VxP(x) is true, VxP(x) is false, xP(x) is true, xP(x) is false.
Which of the following are Predicates? P1(x): 16x+5 P2(x): x is even P3(x): 16 is odd P4(x,y): x+y=10 P5(x): Program x terminates
The class I'm taking is assembly programming. I am completely stuck. I have attached the problem. Please view attachment before answering. Thank you so much for your help! Any help is greatly appreciated.
For the first option it says "does Not represent" and "represents" For the second option "for each number" and there is one number" For the third one it says "set A (the input)" and "set A(the output)" and "set B (the input)" and "set B (the output)" For the fourth option it says "is only one mapping" and "is no mapping" and "are multiple mappings" For the fifth option it says "to set B (the output)" and "from Set A (the input)" and "to Set B (the input)" and "from Set A (the output)" I have to pick one for each option.
If S(x, y) means x can speak the language y, express the statement "There is a student in this class who can speak Hindi" using quantifiers. Multiple Choice O VXS(x, Hindi) VXS(Hindi, x) 3XS(x, Hindi) 3XS(Hindi, x)
b. Identify the systems from task (2a) that demonstrate closure, i.e., theresult of the operation always produces an element in the set.c. Identify the systems from task (2a) that have an identity element.
Let T(x,y) = "x will take y", S(x) = "x is a CS student", H(y) = "y is a hard course" and P(y) = "y is an elective course" Assume the domain of x is all students and the domain of y is all courses. Select the negation of "Some CS students will not take all elective courses" O 1.All CS students will take some elective courses. O 2. All students will not take all elective courses. O 3. Some CS students will not take some elective courses. O 4. Some CS students will take all elective courses.
Let P(x, y) be the predicate "musician a has hit y". The domain for the a variables consists of all musicians. The domain for the y variables consists of all hits. Express the quantification 3x, yi, Vyz, (P(x, y₁)^((y2 #y₁)→ P(x, y2))) as an English sentence. O There are two distinct musicians that do not have the same hit. O Every musician has a unique hit. O Every musician has at least two hits. O Every two distinct musicians do not have the same hit. There is a musician that has a unique hit. There is a musician that has at least two hits. Now let Q(x, y) be the predicate "game x has winner y. The domain for the a variables consists of all games. The domain for the y variables consists of all winners. Express the quantification 3x₁, x2, Vy, ((1 22₂) ^ (Q(x, y) ^ Q(x2, y))) as an English sentence. There are two distinct games that do not have the same winner. O Every game has a unique winner. O Every two distinct games do not have the same winner. There is a game that has at least…
Each time a component is tested, the trial is a success (S) or failure (F). Suppose the component is tested repeatedly until a success occurs on three consecutive trials. Let Y denote the number of trials necessary to achieve this. List all outcomes corresponding to the five smallest possible values of Y. (Enter your answers in set notation.) what is the answer for Y=7. I have {SFFFSSS,SSFFSSS,FFFFSSS,FSSFSSS,FSFFSSS. Are there more?
Let T(x) be the predicate "person x is a teacher" and V(x) be the predicate "person x plays video games." Express the following English sentence as a symbolic proposition: "All teachers play video games." 3x(T(x) ⇒ V(x)) ³x(T(x) ^ V(x)) OVx(T(x) ^ V(x)) Ⓒ\x(T(x) ⇒ V(x))