When designing a (deductive) database, the designer has to decide for each predicate (or relation) whether it should be defined extensionally or intensionally, and what the definition should look like. An intelligent system is presented to assist the designer in this task. It starts from an example database in which all predicates are defined extensionally. It then tries to compact the database by transforming extensionally defined predicates into intensionally defined ones. The intelligent system employs techniques from the area of inductive logic programming.