unification with example
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the act, process, or result of bringing or coming together into or as if into a single unit or group unification of a divided nation.
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What is Unification?
Unification is a process of making two different logical atomic expressions identical by finding a substitution. Unification depends on the substitution process.
It takes two literals as input and makes them identical using substitution.
Let Ψ1 and Ψ2 be two atomic sentences and be a unifier such that, Ψ1 = Ψ2, then it can be expressed as UNIFY(Ψ1, Ψ2).
Example: Find the MGU for Unify{King(x), King(John)}
Let Ψ1 = King(x), Ψ2 = King(John),
Substitution θ = {John/x} is a unifier for these atoms and applying this substitution, and both expressions will be identical.
The UNIFY algorithm is used for unification, which takes two atomic sentences and returns a unifier for those sentences (If any exist).
Unification is a key component of all first-order inference algorithms.
It returns fail if the expressions do not match with each other.
The substitution variables are called Most General Unifier or MGU.
E.g. Let's say there are two different expressions, P(x, y), and P(a, f(z)).
Explanation: