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Database Dependencies

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Synonyms

Database constraints; Data dependency

Definition

For a relational database to be valid, it is not sufficient that the various tables of which it is composed conform to the database schema. In addition, the instance must also conform to the intended meaning of the database [19]. While many aspects of this intended meaning are inherently informal, it will generally induce certain formalizable relationships between the data in the database, in the sense that whenever a certain pattern is present among the data, this pattern can either be extended or certain data values must be equal. Such a relationship is called a database dependency. The vast majority of database dependencies in the literature are of the following form [6]:

$$ \begin{array}{ll}&{}\left(\forall {x}_1\right)\dots \left(\forall {x}_n\right)\varphi \left({x}_1,\dots, {x}_n\right)\\ &{}\Rightarrow \left(\exists {z}_1\right)\dots \left(\exists {z}_k\right)\psi \left({y}_1,\dots, {y}_m,{z}_1,\dots,...

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Recommended Reading

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Correspondence to Marc Gyssens .

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Gyssens, M. (2018). Database Dependencies. In: Liu, L., Özsu, M.T. (eds) Encyclopedia of Database Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8265-9_1236

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