Representation scheme in artificial intelligence:

It is not hard to see why logic has been popular representation scheme in AI:

• In this way, It is easy to represent knowledge. It permits us to be expressive enough to represent most of the knowledge, while being constrained enough to be precise about that knowledge.
• there are complete branches of mathematics committed to the study of it.
• We get many reasoning for free (theorems can be deduced about

Information in a logical patterns and representation can be similarly induced).

• Some programming languages grew from logical representations, in specific Prolog. So, if you understand the logic, it is easy to write programs.