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Axioms for functional dependencies and inclusion dependencies?

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Relevant answers:

Why are certain functional dependencies called trivial functional dependencies?
A functional http://wiki.answers.com/wiki/Dependency_theory_(database_theory) (FD) is a constraint between two sets of attributes in a http://wiki.answers.com/wiki/Relational_model from a...
What is functional dependency in computer terms?
Functional Dependency. Functional Dependencies A Functional Dependency describes a relationship between attributes in a single relation. An attribute is functionally dependant on another if we can...
What is non trivial functional dependency?
-->non trivial functional dependency is totally opposite to the trivial functional dependency.--> non trivial dependency means X-->Y that is if Y is not proper subset of X table or relation...
What is Transitive functional dependency?
A functional dependency X->Y is transitive in R, if there exists an attribute Z in R, such that X-> Z, Z-> Y .
What is functional dependency in DBMS?
A key is a set of attributes that uniquely identifies an entire tuple, a function dependency allow us to express constraints that uniquely identify the values of certain attribute.