A database is the computerized logical representation of a conceptual (or business) model, consisting of a set of informal business rules. These rules are the user-understood meaning of the data. Because computers comprehend only formal representations, business rules cannot be represented directly in a database. They must be mapped to a formal representation, a logical model, which consists of a set of integrity constraints. These constraints — the database schema — are the logical representation in the database of the business rules and, therefore, are the DBMS-understood meaning of the data. It follows that if the DBMS is unaware of and/or does not enforce the full set of constraints representing the business rules, it has an incomplete understanding of what the data means and, therefore, cannot guarantee (a) its integrity by preventing corruption, (b) the integrity of inferences it makes from it (that is, query results) — this is another way of saying that the DBMS is, at best, incomplete.
Note: The DBMS-“understood” meaning — integrity constraints — is not identical to the user-understood meaning — business rules — but, the loss of some meaning notwithstanding, we gain the ability to mechanize logical inferences from the data.
"An Old Class of Errors" by Fabian Pascal
