Question

If it exists, find the most general unifying substitution for each of the following pairs of sentences.

1. A(x. Farid) and A(Shikri, Farid)
2. foo(Farid, a, goo(Shikri)) and foo(Z, a, goo(moo(Z))
3. Divisible(0, x) and Divisible(x, one) (this says that 0 is divisible by all numbers and every number is divisible by 1.)

Answer 1

The most general unifying substitution for the given pairs of sentences is to replace the variables with the same values. The values 'Shikri' and 'Z' can be used as substitutions to make the sentences equal.

Step-by-step explanation:

The most general unifying substitution for the given pairs of sentences is to replace the variables with the same value. Let's examine each pair:

1. A(x. Farid) and A(Shikri, Farid): In this case, we can substitute 'x' with 'Shikri' to make both sentences equal. Therefore, the most general unifying substitution is x = Shikri.
2. foo(Farid, a, goo(Shikri)) and foo(Z, a, goo(moo(Z))): Here, we can substitute 'Farid' with 'Z' and 'Shikri' with 'moo(Z)' to make both sentences equal. The most general unifying substitution is Farid = Z and Shikri = moo(Z).
3. Divisible(0, x) and Divisible(x, one): In this case, any value for 'x' would satisfy both sentences. Therefore, there is no need for a specific substitution, and any value for 'x' can be the most general unifying substitution.