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SM ISO690:2012 SKOBELEV, Volodymyr, IVANOV, Ievgen, NIKITCHENKO, Mykola. Set-theoretic Analysis of Nominative Data. In: Computer Science Journal of Moldova, 2015, nr. 3(69), pp. 270-288. ISSN 1561-4042. |
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Computer Science Journal of Moldova | ||||||
Numărul 3(69) / 2015 / ISSN 1561-4042 /ISSNe 2587-4330 | ||||||
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CZU: [512.54+519.7]:004.42.021 | ||||||
Pag. 270-288 | ||||||
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In the paper we investigate the notion of nominative data that can be considered as a general mathematical model of data used in computing systems. The main attention is paid to flat nominative data called nominative sets. The structure of the partially-ordered set of nominative sets is investigated in terms of set theory, lattice theory, and algebraic systems theory. To achieve this aim the correct transferring of basic set-theoretic op- erations to nominative sets is proposed. We investigate a lower semilattice of nominative sets in terms of lower and upper cones, closed and maximal closed intervals of nominative sets. The ob- tained results can be used in formal software development. |
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Cuvinte-cheie nominative set, nominative data, Set theory, lattice theory, lower semilattice, lower and upper cones, closed intervals, Algebraic system |
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