Second normal form
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Second normal form (2NF) is a normal form used in database normalization. 2NF was originally defined by E.F. Codd[1] in 1971. A table that is in first normal form (1NF) must meet additional criteria if it is to qualify for second normal form. Specifically: a 1NF table is in 2NF if and only if, given any candidate key and any attribute that is not a constituent of a candidate key, the non-key attribute depends upon the whole of the candidate key rather than just a part of it.
In slightly more formal terms: a 1NF table is in 2NF if and only if none of its non-prime attributes are functionally dependent on a part (proper subset) of a candidate key. (A non-prime attribute is one that does not belong to any candidate key.)
Note that when a 1NF table has no composite candidate keys (candidate keys consisting of more than one attribute), the table is automatically in 2NF.
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[edit] Example
Consider a table describing employees' skills:
| Employee | Skill | Current Work Location |
|---|---|---|
| Jones | Typing | 114 Main Street |
| Jones | Shorthand | 114 Main Street |
| Jones | Whittling | 114 Main Street |
| Roberts | Light Cleaning | 73 Industrial Way |
| Ellis | Alchemy | 73 Industrial Way |
| Ellis | Juggling | 73 Industrial Way |
| Harrison | Light Cleaning | 73 Industrial Way |
The table's only candidate key is {Employee, Skill}.
The remaining attribute, Current Work Location, is dependent on only part of the candidate key, namely Employee. Therefore the table is not in 2NF. Note the redundancy in the way Current Work Locations are represented: we are told three times that Jones works at 114 Main Street, and twice that Ellis works at 73 Industrial Way. This redundancy makes the table vulnerable to update anomalies: it is, for example, possible to update Jones' work location on his "Typing" and "Shorthand" records and not update his "Whittling" record. The resulting data would imply contradictory answers to the question "What is Jones' current work location?"
A 2NF alternative to this design would represent the same information in two tables:
| Employee | Current Work Location |
|---|---|
| Jones | 114 Main Street |
| Roberts | 73 Industrial Way |
| Ellis | 73 Industrial Way |
| Harrison | 73 Industrial Way |
| Employee | Skill |
|---|---|
| Jones | Typing |
| Jones | Shorthand |
| Jones | Whittling |
| Roberts | Light Cleaning |
| Ellis | Alchemy |
| Ellis | Juggling |
| Harrison | Light Cleaning |
Update anomalies cannot occur in these tables, which are both in 2NF.
Not all 2NF tables are free from update anomalies, however. An example of a 2NF table which suffers from update anomalies is:
| Tournament | Year | Winner | Winner Date of Birth |
|---|---|---|---|
| Des Moines Masters | 1998 | Chip Masterson | 14 March 1977 |
| Indiana Invitational | 1998 | Al Fredrickson | 21 July 1975 |
| Cleveland Open | 1999 | Bob Albertson | 28 September 1968 |
| Des Moines Masters | 1999 | Al Fredrickson | 21 July 1975 |
| Indiana Invitational | 1999 | Chip Masterson | 14 March 1977 |
Even though Winner and Winner Date of Birth are determined by the whole key {Tournament, Year} and not part of it, particular Winner / Winner Date of Birth combinations are shown redundantly on multiple records. This problem is addressed by third normal form (3NF).
[edit] 2NF and candidate keys
A table for which there are no partial functional dependencies on the primary key is typically, but not always, in 2NF. In addition to the primary key, the table may contain other candidate keys; it is necessary to establish that no non-prime attributes have part-key dependencies on any of these candidate keys.
Multiple candidate keys occur in the following table:
| Manufacturer | Model | Model Full Name | Manufacturer Country |
|---|---|---|---|
| Forte | X-Prime | Forte X-Prime | Italy |
| Forte | Ultraclean | Forte Ultraclean | Italy |
| Dent-o-Fresh | EZBrush | Dent-o-Fresh EZBrush | USA |
| Kobayashi | ST-60 | Kobayashi ST-60 | Japan |
| Hoch | Toothmaster | Hoch Toothmaster | Germany |
| Hoch | Contender | Hoch Contender | Germany |
Even if the designer has specified the primary key as {Model Full Name}, the table is not in 2NF. {Manufacturer, Model} is also a candidate key, and Manufacturer Country is dependent on a proper subset of it: Manufacturer.
[edit] References
- ^ Codd, E.F. "Further Normalization of the Data Base Relational Model." (Presented at Courant Computer Science Symposia Series 6, "Data Base Systems," New York City, May 24th-25th, 1971.) IBM Research Report RJ909 (August 31st, 1971). Republished in Randall J. Rustin (ed.), Data Base Systems: Courant Computer Science Symposia Series 6. Prentice-Hall, 1972.
[edit] See also
[edit] Further reading
- Litt's Tips: Normalization
- Rules Of Data Normalization
- Date, C. J., & Lorentzos, N., & Darwen, H. (2002). Temporal Data & the Relational Model (1st ed.). Morgan Kaufmann. ISBN 1-55860-855-9.
- Date, C. J. (1999), An Introduction to Database Systems (8th ed.). Addison-Wesley Longman. ISBN 0-321-19784-4.
- Kent, W. (1983) A Simple Guide to Five Normal Forms in Relational Database Theory, Communications of the ACM, vol. 26, pp. 120-125
- Date, C.J., & Darwen, H., & Pascal, F. Database Debunkings
[edit] External links
- Database Normalization Basics by Mike Chapple (About.com)
- An Introduction to Database Normalization by Mike Hillyer.
- Normalization by ITS, University of Texas.
- A tutorial on the first 3 normal forms by Fred Coulson
- Free PDF poster available by Marc Rettig
- Description of the database normalization basics by Microsoft
| Topics in Database normalization |
|
First normal form | Second normal form | Third normal form |
