Final answer:
The violation of Boyce-Codd Normal Form occurs when a non-candidate key attribute determines another attribute, which is not allowed in BCNF. A typical example involves a database table where an attribute that is not a superkey wrongly determines another attribute in the table.
Step-by-step explanation:
An example of the violation of Boyce-Codd Normal Form (BCNF) occurs when a database table contains a dependency where one or more attributes determine another attribute, but the determinant is not a candidate key. For BCNF, we require that for every non-trivial functional dependency X -> Y, where X is a set of attributes and Y is a single attribute, X should be a superkey.
Consider a table with attributes (A, B, C) where (A, B) is the primary key, and we have the following functional dependencies:
Here, the attribute A determines C, but A alone is not a candidate key because the candidate key is actually (A, B). This situation violates BCNF since a non-candidate key attribute (A) is determining another attribute (C), and as such, normalization would require decomposition of the table to address this anomaly.