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-

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Chapter2: Second-order Linear Odes
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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
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