Let a prime attribute be one that appears in at least one candidate key. Let α andβ 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 the definition of 3NF as follows:A relation schema R is in 3NF with respect to a set F of functional dependenciesif 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
Let a prime attribute be one that appears in at least one candidate key. Let α andβ 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 the definition of 3NF as follows:A relation schema R is in 3NF with respect to a set F of functional dependenciesif 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
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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Let 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 the definition of 3NF as follows: A relation schema R is in 3NF with respect to a set F of functional dependenciesif 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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