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- W4299546322 abstract "We study the data transformation capabilities associated with schemas that are presented by directed multi-graphs and path equations. Unlike most approaches which treat graph-based schemas as abbreviations for relational schemas, we treat graph-based schemas as categories. A schema $S$ is a finitely-presented category, and the collection of all $S$-instances forms a category, $S$-inst. A functor $F$ between schemas $S$ and $T$, which can be generated from a visual mapping between graphs, induces three adjoint data migration functors, $Sigma_F:S$-inst$to T$-inst, $Pi_F: S$-inst $to T$-inst, and $Delta_F:T$-inst $to S$-inst. We present an algebraic query language FQL based on these functors, prove that FQL is closed under composition, prove that FQL can be implemented with the select-project-product-union relational algebra (SPCU) extended with a key-generation operation, and prove that SPCU can be implemented with FQL." @default.
- W4299546322 created "2022-10-02" @default.
- W4299546322 creator A5014088772 @default.
- W4299546322 creator A5071077157 @default.
- W4299546322 date "2012-12-20" @default.
- W4299546322 modified "2023-09-24" @default.
- W4299546322 title "Relational Foundations For Functorial Data Migration" @default.
- W4299546322 doi "https://doi.org/10.48550/arxiv.1212.5303" @default.
- W4299546322 hasPublicationYear "2012" @default.
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