A Coq formalization of the relational data model

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Abstract

In this article, we propose a Coq formalization of the relational data model which underlies relational database systems. More precisely, we present and formalize the data definition part of the model including integrity constraints. We model two different query language formalisms: relational algebra and conjunctive queries. We also present logical query optimization and prove the main "database theorems": algebraic equivalences, the homomorphism theorem and conjunctive query minimization. © 2014 Springer-Verlag.

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Benzaken, V., Contejean, É., & Dumbrava, S. (2014). A Coq formalization of the relational data model. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8410 LNCS, pp. 189–208). Springer Verlag. https://doi.org/10.1007/978-3-642-54833-8_11

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