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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Prove or disprove the following inference rules for functional dependencies. A proof can be made either by a proof argument or by using inference rules IR1 through IR3. A disproof should be performed by demonstrating a relation instance that satisfies the conditions and functional dependencies in the-left-hand side of the inference rule but does not satisfy the dependencies in the right-hand side.
a. {WâY, X âZ} {WXâY}.
b. {XâY} and Y Z {XâZ}.
c. {X âY, X âW, WY âZ} {X âZ}.
d. {XY âZ, Y âW} {XW âZ}.
e. {X âZ, Y âZ} {X âY}.
f. {X âY, XY âZ} {X âZ}.
g. {X âY, Z âW} {XZ âYW}.
h. {XY âZ, Z âX} {Z âY}.
i. {XâY, Y âZ} {X âYZ}.
j. {XY âZ, Z âW} {X âW}.
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