Abstract
The article proposed the concept of multivalue positive Boolean dependencies by groups in the database model of block form, proved the equivalence of three types derived: m-deduction by logic, m-deduction in groups by block, m-deduction in groups by block not exceeding p elements,, necessary and sufficient conditions for a block to be a m-tight representation by groups of a set of multivalue positive Boolean dependencies by groups on the block ... In addition, some properties multivalue positive Boolean dependencies by groups have been stated and proved here.
Highlights
In recent years, research to expand the relational data model has been interested by many scientists around the world
A block r on R, denoted r(R) consists of a finite number of elements that each element is a family of mappings from the index set id to the value domain of the attributes Ai (i=1..n)
With each formula f on P, table of values for f, denote that Vf contains n+1 columns, with the first n columns containing the values of the variables in U, and the last column contains the value of f for each values signment of the corresponding row
Summary
Research to expand the relational data model has been interested by many scientists around the world. There are some proposed database models such as: Multidimensional data model [1],[2],[3], data block [4],[5], data warehouse [6],[7],... The database model of block form [8]. In a database model of block form, the concepts: blocks, block diagrams, slices, relational algebra over blocks, functional dependencies, closures of index attribute set ... The study of extended logical dependencies in this data model is limited, many types of dependencies have not been studied. This article wants to propose and study the properties of a new type of logical dependency in a database model of block form: that is multivalued positive Boolean dependency by groups
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