select the best translation into predicate logic, using the following translation key:
a: Ahmed
b: Bhavin
c: Chloe
d: Delfina
e: Eduardo
i: Irving
f(x): the father of x
g(x): the mother of x
f(x,y): the only son of x and y
Lxy: x loves y
Sxy: x is a sister of y
Txy: x teaches y
-Ahmed is Chloe's father and Delfia is Chloe's mother.
A) f(a)=c • g(d)=c
B) f(c)=a • g(c)=d
C) a=g(c) • d=f(c)
D) a=g(d) • d=g(a)
E) f(c)=g(c)

Question

select the best translation into predicate logic, using the following translation key: 
a: Ahmed
b: Bhavin 
c: Chloe 
d: Delfina
e: Eduardo 
i: Irving
f(x): the father of x
g(x): the mother of x
f(x,y): the only son of x and y 
Lxy: x loves y
Sxy: x is a sister of y 
Txy: x teaches y
-Ahmed is Chloe's father and Delfia is Chloe's mother.
A) f(a)=c • g(d)=c
B) f(c)=a • g(c)=d
C) a=g(c) • d=f(c)
D) a=g(d) • d=g(a)
E) f(c)=g(c)

Quizplus · Accepted Answer

The statement can be translated as f(c,a) • g(c,d), which means Chloe is the only child of Ahmed and Delfina, and Ahmed is Chloe's father, and Delfina is Chloe's mother. This can be simplified as f(c)=a • g(c)=d. Option B matches this translation.

Select the Best Translation into Predicate Logic, Using the Following