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Questions tagged [functional-dependencies]

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“Functional dependencies” with cardinality constraints

Let us write $\{ A_1, \ldots, A_k\} \rightrightarrows^n \{B_1, \ldots, B_m\}$ for a relation $R$ if for all $\langle a_1, \ldots, a_k\rangle$ we have $\left\lvert \pi_{B_1, \ldots, B_m} \sigma_{\...
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1answer
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Normal form after decomposition of a relation

I came across a text recently which claims that if we perform a lossless decomposition of a relation R into smaller relations R1 and R2, and if R is in 3NF, both R1 and R2 are 3NF. I felt a bit ...
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When BCNF decomposition preserves Functional Dependencies?

It is known that BCNF decomposition does not preserve functional dependencies (FDs). For example, for FDs on R(A,B,C), ...
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3answers
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Functional Dependencies

Let relational schema R(A,B,C,D,E,F,G,H,I). The functional dependencies are: A -> BC, AD -> BE, C ->F , A->F , D-> E Find the number of non-trivial functional dependencies ? I know that R has only ...
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1answer
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Given a relation and asked to enumerate all FD's and mark the trivial FD's

Given a relation R(A,B,C) and a FD set (A->B, B->C), find the FD Closure. Enumerate all the FD's and organize them accordingly to the LHS of the FD's. Mark all the trivial FD's. I am a little ...