For the following English Sentences translate them to predicate logic. 11 All ELE Kids take at least two classes". let the domain of dsrous se alL poople and all (oucses. ECEK)= True if Xis a ECE Student Taker (49)= Trve if StudentiX hos taken cours 4. Equals (x.y):> Tlve if X equalsy-

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 23CR
icon
Related questions
icon
Concept explainers
Question
Discrete Math answer the question like the format in the second photo please
For the following English Sentenles translate them to predicate logic.
All ELE Kids take at least two classes'".
let the domain
०fArart e १ll Pee-
and all (oucses.
• ELEM)= Trve if xis a ECE Student
Taker (K4)= Tve if Studentix hes takm coues 4.
Equals (xy):2 Tlve if X eguals 4-
Transcribed Image Text:For the following English Sentenles translate them to predicate logic. All ELE Kids take at least two classes'". let the domain ०fArart e १ll Pee- and all (oucses. • ELEM)= Trve if xis a ECE Student Taker (K4)= Tve if Studentix hes takm coues 4. Equals (xy):2 Tlve if X eguals 4-
(b) "There is a person who owns at least two dogs"
Predicate:
D(x): True if x is a dog, false otherwise
P(x): True if x is a person, false otherwise
O(x,y): True if x owns y, false otherwise
Logic proposition:
3x(P(r) A 3y3z(D(y) ^ D(2) A O(x, y) ^ O(x, 2) ^ (z # y))).
(c) "Each car has exactly one driver"
Predicate:
C(x): True if x is a car, false otherwise
D(x,y): True if x drives y, false otherwise
Logic proposition:
Vr(C(r)3y(D(y, x) ^ 3z(D(2, x) ^ (2 = y))))
(d) "You can fool some people all of the time and you can fool all the people some of
the time.
Predicate:
T(x): True if x is time, false otherwise
P(x): True if x is a person, false otherwise
F(x.t): True if you can fool x at t time, false otherwise
Logic proposition:
3rVt(P(r) AT(f) A F(r.t)) A Vy(P(y) AT(:)A F(y.2))
6:12
5/3/2
Transcribed Image Text:(b) "There is a person who owns at least two dogs" Predicate: D(x): True if x is a dog, false otherwise P(x): True if x is a person, false otherwise O(x,y): True if x owns y, false otherwise Logic proposition: 3x(P(r) A 3y3z(D(y) ^ D(2) A O(x, y) ^ O(x, 2) ^ (z # y))). (c) "Each car has exactly one driver" Predicate: C(x): True if x is a car, false otherwise D(x,y): True if x drives y, false otherwise Logic proposition: Vr(C(r)3y(D(y, x) ^ 3z(D(2, x) ^ (2 = y)))) (d) "You can fool some people all of the time and you can fool all the people some of the time. Predicate: T(x): True if x is time, false otherwise P(x): True if x is a person, false otherwise F(x.t): True if you can fool x at t time, false otherwise Logic proposition: 3rVt(P(r) AT(f) A F(r.t)) A Vy(P(y) AT(:)A F(y.2)) 6:12 5/3/2
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Points, Lines and Planes
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,