Here are the two sets of FDs for R ={A, B, C, D, E}. S = {A→B AB→C D→AC D→E} = {A→BC D→AE} Are they equivalent?

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
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Please type it and if possible write it using the technic used in this example

1) day, hour, courseName, section → day, hour, professorCode
Augmentation
courseName, section → professorCode
2) day, hour, courseName, section → local
Transitivity:
day, hour, courseName, section → day, hour, professorCode
and
day, hour, professorCode → local
3) day, hour, courseName, section → day, hour, local
Augmentation
courseName, section → local
4) day, hour, courseName, section → courseName, section, meeting
Transitivity
day, hour, courseName, section → day, hour, local
and
day, hour, local → courseName, section, meeting
5) courseName, section, meeting → meeting
Reflexivity
6) day, hour, courseName, section → meeting
Transitivity on 4) and 5)
day, hour, courseName, section → courseName, section, meeting
and
courseName, section, meeting → meeting
Transcribed Image Text:1) day, hour, courseName, section → day, hour, professorCode Augmentation courseName, section → professorCode 2) day, hour, courseName, section → local Transitivity: day, hour, courseName, section → day, hour, professorCode and day, hour, professorCode → local 3) day, hour, courseName, section → day, hour, local Augmentation courseName, section → local 4) day, hour, courseName, section → courseName, section, meeting Transitivity day, hour, courseName, section → day, hour, local and day, hour, local → courseName, section, meeting 5) courseName, section, meeting → meeting Reflexivity 6) day, hour, courseName, section → meeting Transitivity on 4) and 5) day, hour, courseName, section → courseName, section, meeting and courseName, section, meeting → meeting
Here are the two sets of FDs for R ={A, B, C, D, E}.
S = {A→B AB→C D→AC D→E}
T = {A→BC D→AE}
Are they equivalent?
Transcribed Image Text:Here are the two sets of FDs for R ={A, B, C, D, E}. S = {A→B AB→C D→AC D→E} T = {A→BC D→AE} Are they equivalent?
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