a prime attribute be one that appears in at least one candidate key. Let α and β be sets of attributes such that α  -> β holds, but β ->α does not hold. Let A be an attribute that is not in α, is not in β, and for which β A holds. We say that A is transitively dependent on α. We can restate our definition of 3NF as follows: A relation schema R is in 3NF with respect to a set F of functional dependencies if there are no nonprime attributes A in R for which A is transitively dependent on a key for R. Show that this new definition is equivalent to the original one.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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 a prime attribute be one that appears in at least one candidate key. Let α and β be sets of attributes such that α  -> β holds, but β ->α does not hold. Let A be an attribute that is not in α, is not in β, and for which β A holds. We say that A is transitively dependent on α. We can restate our definition of 3NF as follows: A relation schema R is in 3NF with respect to a set F of functional dependencies if there are no nonprime attributes A in R for which A is transitively dependent on a key for R. Show that this new definition is equivalent to the original one.

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