Geodesic
Hygiene of derivation sequences
Nečetkie sistemy i mâgkie vyčisleniâ, Tome 16 (2021) no. 1, pp. 34-57

Voir la notice de l'article provenant de la source Math-Net.Ru

The Sequence of Derivation (DS) of the of Functional Dependence from the set of other FD is the program of the notional Computer which is operated by commands F and B. Formalization of DS presents her as the Cascade Ordered Set (COS) with Orders of consecution $\leqslant^{0)} :=\mathbf{=\twoheadrightarrow}$ and of conclusion $\leqslant^{1)} :=\mathbf{=\Rrightarrow}$ inheriting undesirable properties of programming from DS: 1. Variability of software development; 2. The uncontrollable outgoing nesting (branching); 3. A possibility of repetition in the program of functionally equivalent fragments; 4. Other. This work is aimed at eradication of these shortcomings of DS that is reached by rectificaition of algorithms and is implemented by the chain of Lemma 3 $\mapsto$ Theorem 4 $\mapsto$ Theorem 4 which eventually will allow each DS put in correspond the algebraic expression functionally equivalent to it in some D-algebra.
Keywords: syllogism, analysis, synthesis, database table, relation, attribute, scheme, key of table, functional dependence, graph, logical scheme, cortege, projection, nesting, D-algebra, PO, POS, RDB, TRDB. 
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     author = {L. A. Pomortsev and V. I. Tsurkov},
     title = {Hygiene of derivation sequences},
     journal = {Ne\v{c}etkie sistemy i m\^agkie vy\v{c}isleni\^a},
     pages = {34--57},
     publisher = {mathdoc},
     volume = {16},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FSSC_2021_16_1_a2/}
}
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L. A. Pomortsev; V. I. Tsurkov. Hygiene of derivation sequences. Nečetkie sistemy i mâgkie vyčisleniâ, Tome 16 (2021) no. 1, pp. 34-57. http://geodesic.mathdoc.fr/item/FSSC_2021_16_1_a2/