Get Advances in Data Base Theory: Volume 2 PDF

By Joachim Biskup, Hans Hermann Brüggemann (auth.), Hervé Gallaire, Jack Minker, Jean Marie Nicolas (eds.)

ISBN-10: 1461593859

ISBN-13: 9781461593850

ISBN-10: 1461593875

ISBN-13: 9781461593874

This is the 3rd ebook dedicated to theoretical concerns in information­ bases that we have got edited. each one publication has been the outgrowth of papers held at a workshop in Toulouse, France. the 1st workshop, held in 1977 centred totally on the $64000 subject of common sense and databases. The publication, common sense and Databases used to be the results of this attempt. the varied makes use of of common sense for databases resembling its use as a theoretical foundation for databases, for deduction and for integ­ rity constraints formula and checking was once defined within the chapters of the e-book. The curiosity generated via the 1st workshop resulted in the deci­ sion to behavior different workshops inquisitive about theoretical matters in databases. as well as common sense and databases the categories of papers have been elevated to incorporate different vital theoretical concerns equivalent to dependency idea which, even though it occasionally makes use of common sense as a foundation, doesn't healthy with our meant that means of common sense and databases explored on the first workshop. as a result broader insurance, and since we expected extra workshops, the second one booklet was once entitled, Advances in Database thought - quantity 1. The e-book "Logic and Databases" can be thought of quantity zero of this series.

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In other words, the constraint jv is orthogonal (or independent) to the constraint M and therefore to j. On the other hand, the set of MVDs induced on U by j2 is equivalent to the set M' = {AC ++ BEF, BD ++ CFG}, and is strictly stronger than the set M. e. to j).

Where N = eEEYU E" e and E E' U E". is not connected then the connectivity may be obtained by adding to t one and only one edge from E. Hence all and only the subhypergraphs H = of H such that: U eE E' U E" e U e . E= E' U E" U {e} and are the nonredundant coverings over N. is proved. Since e E IE"' I 2. IEI EIII the theorem AUSIELLO, D'ATRI AND MOSCARINI 40 N C e, U < eEE3 E' U e, E3 > eEE3 {e 7 ,e 8 ,e 9 } E" {ell,e12,elO,e14} E {e l ,e 2 } < E'" E < < U eEE l U eEE 2 Figure 10. e , El E' U E" U {ell > , E2 E' U E" U {e 2 } > e Construction Steps for the e-Minimum Coverings of the H-Acyclic Hypergraph H over the Set of Nodes {n l ,n 2 ,n 3 ,n 4 }· 41 MINIMAL COVERINGS OF ACYCLIC SCHEMATA When the given hypergraph is not H-acyclic the number bf e-minimum coverings over some Nmay be exponential in the number of edges as may be seen in the example given in Figure 11.

198lb], Fagin et al. [1982], Yannakakis [1981]; see Fagin [1983] for a survey). In order to provide a formal approach to the study of structural and semantic properties of acyclic database schemata, acyclic hypergraphs have been investigated and several different types of acyclic hypergraphs have been defined by Fagin [1982] and D'Atri and Moscarini [1982]. In this section the basic notions of acyclicity in database schemata are introduced and their formalization in terms of hypergraphs are provided.

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Advances in Data Base Theory: Volume 2 by Joachim Biskup, Hans Hermann Brüggemann (auth.), Hervé Gallaire, Jack Minker, Jean Marie Nicolas (eds.)


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