What is the Difference Between BCNF and 4NF (4th Normalization)?

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The difference between Boyce-Codd Normal Form (BCNF) and 4th Normal Form (4NF) lies in their criteria for data normalization and the degree of redundancy they allow in a database.

BCNF is an extension of the Third Normal Form (3NF) and has more strict rules than 3NF. For a relation to be in BCNF, it must be in 3NF and satisfy the following condition: For every functional dependency (FD) X -> Y, X must be a superkey in the given relation. BCNF is comparatively stronger than 3NF and allows for more dependency preservation.

4NF, on the other hand, is a further advancement of data normalization. A relation is said to be in 4NF when it satisfies the following conditions:

  1. It must be in BCNF.
  2. All multi-valued dependencies in the relation must be resolved.

In simple terms, a relation in 4NF has less redundancy compared to a relation in BCNF, as all multi-valued dependencies are removed in 4NF. In real-world database design, 3NF or BCNF is generally preferred over 4NF due to its practicality and ease of implementation.

Comparative Table: BCNF vs 4NF (4th Normalization)

Here is a table comparing the differences between Boyce-Codd Normal Form (BCNF) and 4th Normal Form (4NF):

Property BCNF 4NF
Definition A relation is in BCNF if and only if it satisfies the following condition: For every functional dependency X->Y, X is a superkey in the given relation. A relation is in 4NF if it satisfies the following conditions: It must be in Boyce-Codd Normal Form (BCNF). The table should not have any multi-valued dependency.
Dependency Preserving Dependency preserving is hard to achieve in BCNF. Dependency preserving is more challenging to achieve in 4NF compared to BCNF.
Number of Tables The number of tables in BCNF is less than or equal to the number of tables in 4NF.
Real-World Database Design In real-world database designing, 3NF or BCNF is generally preferred. 4NF is not generally preferred by database designers.
Multi-valued Dependency A relation in BCNF may contain multi-valued as well as join dependency. A relation in 4NF may only contain join dependency and should have no multi-valued dependency.

In summary, BCNF is a strict form of 3NF, and 4NF is a further extension of BCNF that restricts multi-valued dependencies. While BCNF is sometimes used in database design, 4NF is less common in real-world applications.