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Select the Best Translation into Predicate Logic, Using the Following

Question 4

Multiple Choice

select the best translation into predicate logic, using the following translation key:
a: one
b: two
c: three
f(x) : the successor of x
g(x,y) : the sum of x and y
Nx: x is a number
Dxy: x is divisible by y
Gxy: x is greater than y
-Any number is divisible by two if, and only if, the successor of its successor is divisible by two.


A) (∀x) [Nx ⊃ Df(f(b) ) c]
B) (∀x) {Nx ≡ [Dxb • Df(f(x) ) b]}
C) (∀x) {Nx ⊃ [Dbx ≡ Df(x) b]}
D) (∀x) {(Nx ⊃ Dxb) ≡ Df(f(x) ) b}
E) (∀x) {Nx ⊃ [Dxb ≡ Df(f(x) ) b}

Correct Answer:

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