Given the following schema AB ⟶ CD A ⟶ B B ⟶ E E ⟶ F A ⟶ F G ⟶ H H ⟶ E GC ⟶ H G⟶E Required: a. Find a minimal cover of this schema. b. Find a key of this schema. c. Find a 3rd normal form decomposition of this schema. d. Find a BCNF decomposition of this schema.
1 answer
Question:
Given the following schema
AB ⟶ CD
A ⟶ B
B ⟶ E
E ⟶ F
A ⟶ F
G ⟶ H
H ⟶ E
GC ⟶ H
G⟶E
Required:
a. Find a minimal cover of this schema.
b. Find a key of this schema.
c. Find a 3rd normal form decomposition of this schema.
d. Find a BCNF decomposition of this schema.
AB ⟶ CD
A ⟶ B
B ⟶ E
E ⟶ F
A ⟶ F
G ⟶ H
H ⟶ E
GC ⟶ H
G⟶E
Required:
a. Find a minimal cover of this schema.
b. Find a key of this schema.
c. Find a 3rd normal form decomposition of this schema.
d. Find a BCNF decomposition of this schema.
Answers
Answer:a) A ⟶ BCD , B ⟶ E , E ⟶ F , G⟶ H , H ⟶ Eb) AGc) attached belowd ) attached belowExplanation:a) Minimal cover of this schema This can be written following the steps belowstep 1 : AB ⟶ C, AB ⟶ D , A ⟶ B , B ⟶ E, E ⟶ F , A⟶F, G ⟶ H, H ⟶ E, GC⟶H, G ⟶ E removing redundant FD AB ⟶ C , AB ⟶ D , A ⟶ B, B ⟶ E, E ⟶ F, G ⟶H , H⟶ E , eliminating p if Q⁺ contains p Finally the Minimal cover of the schema A ⟶ BCD , B ⟶ E , E ⟶ F , G⟶ H , H ⟶ EB) Key of this schema AG is the key of this schema given that ( AG )⁺ = ABCDEFGH C) Determine the 3rd normal form decomposition attached below D) BCNF decompositionattached below
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