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Given the below vocabulary, define the following arithmetic assertions in first - order logic ( F O L ) . ( 3 0 p t

Given the below vocabulary, define the following arithmetic assertions in first-order
logic(FOL).(30pts)
Even(s): Unary predicate which tells that s is an even number.
Prime(s): Unary predicate which tells that s is a prima number.
x+y : Binary function that returns the sum of its two parameters x and y.
x**y : Binary function that returns the product of its two parameters x and y.
Constant symbols: 0,1,2,dots.
a. Represent the property "n is an even number" by completing the missing part
in the following sentence.
AAnEven(n)>dots
b. Represent the property "n is a prime number" by completing the missing part
in the following sentence.
AAn Prime(n
c. Goldbach's conjecture is the conjecture (unproven as yet) that every even
number is equal to the sum of two primes. Represent this conjecture by
completing the missing part in the following sentence.
AAnEven(n)=>dots
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