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let F, be a canonical cover for F, i:= 0; for each functional dependency a → ß in F. i:=i+ 1; R, := aß; if none of the schemas R,j = 1, 2, ..,i contains a candidate key for R then i:= i+ 1; R, := any candidate key for R; /* Optionally, remove redundant relations */ reрeat if any schema R, is contained in another schema R, then /* Delete R, */ R, := R;: i:=i - 1; until no more R,s can be deleted return (R1, R2, ... ,R,) Figure 7.12 Dependency-preserving, lossless decomposition into 3NF.

let F, be a canonical cover for F, i:= 0; for each functional dependency a → ß in F. i:=i+ 1; R, := aß; if none of the schemas R,j = 1, 2, ..,i contains a candidate key for R then i:= i+ 1; R, := any candidate key for R; /* Optionally, remove redundant relations */ reрeat if any schema R, is contained in another schema R, then /* Delete R, */ R, := R;: i:=i - 1; until no more R,s can be deleted return (R1, R2, ... ,R,) Figure 7.12 Dependency-preserving, lossless decomposition into 3NF.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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follow the algorithm in Figure 7.12. You do not need to be overly verbose, but each stage of the decomposition should be shown and justified. Be sure to clearly show the final decomposition

let F, be a canonical cover for F; i:= 0; for each functional dependency a → B in F. i:= i+ 1; R, := a ß; if none of the schemas R,.j = 1, 2, ...,i contains a candidate key for R then i:= i+ 1; R, := any candidate key for R; 1* Optionally, remove redundant relations */ repeat if any schema R, is contained in another schema R. then /* Delete R, */ R, := R;; i:=i- 1; until no more R,s can be deleted return (R1, R2. .., R,) Figure 7.12 Dependency-preserving, lossless decomposition into 3NF.
Transcribed Image Text:let F, be a canonical cover for F; i:= 0; for each functional dependency a → B in F. i:= i+ 1; R, := a ß; if none of the schemas R,.j = 1, 2, ...,i contains a candidate key for R then i:= i+ 1; R, := any candidate key for R; 1* Optionally, remove redundant relations */ repeat if any schema R, is contained in another schema R. then /* Delete R, */ R, := R;; i:=i- 1; until no more R,s can be deleted return (R1, R2. .., R,) Figure 7.12 Dependency-preserving, lossless decomposition into 3NF.
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