Bui, DmitriyPuzikova, AnnaПузікова, Анна ВалентинівнаБуй, Дмитро Борисович2017-06-262017-06-262015Bui D. Axiomatics for multivalued dependencies in table databases: correctness and completeness / D. Bui, A. Puzikova // Workshop on Foundations of Informatics : Proceedings FOI-2015 (August 24-29, 2015, Chişinău) / Inst. of Mathematics and Computer Science, Acad. of Sciences of Moldova; ed.: S. Cojocaru, C. Gaindric. – Chişinău : Institut of Mathematics and Computer Science, 2015. - P. 361-376.https://dspace.cusu.edu.ua/handle/123456789/2586(en) Axiomatics for multivalued dependencies in table databases and axiomatics for functional and multivalued dependencies are reviewed. For each axiomatic relations of syntactic and semantic succession are considered. A rigorous and convincing proof of correctness and completeness of these axiomatics (within the paradigm of mathematical logic) is established. In particular, the properties of closures of sets of specified dependencies are investigated. The properties of set-theoretic function restriction have been used as mathematical framework.entable databasescompleteness of axiomatic systemmultivalued dependenciesfunctional dependenciesAxiomatics for multivalued dependencies in table databases: correctness and completenessArticle