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The relational algebra uses set union, set difference, and Cartesian product from set theory, and adds additional constraints to these operators to create new ones.. For set union and set difference, the two relations involved must be union-compatible—that is, the two relations must have the same set of attributes.
Print/export Download as PDF; Printable version; In other projects ... Relational algebra (10 P) Pages in category "Mathematical relations"
Print/export Download as PDF; Printable version; ... Pages in category "Relational algebra" The following 10 pages are in this category, out of 10 total. ...
11 Notes. 12 Citations. 13 References. ... Download as PDF; Printable version; In other projects ... show that it is a Boolean algebra. ...
Download as PDF; Printable version; ... Pages in category "Relational model" ... Relational algebra; Relational calculus;
A relation algebra (L, ∧, ∨, −, 0, 1, •, I, ˘) is an algebraic structure equipped with the Boolean operations of conjunction x∧y, disjunction x∨y, and negation x −, the Boolean constants 0 and 1, the relational operations of composition x•y and converse x˘, and the relational constant I, such that these operations and constants satisfy certain equations constituting an ...
Projection is relational algebra's counterpart of existential quantification in predicate logic. The attributes not included correspond to existentially quantified variables in the predicate whose extension the operand relation represents. The example below illustrates this point.
Since relations are sets, they can be manipulated using set operations, including union, intersection, and complementation, leading to the algebra of sets. Furthermore, the calculus of relations includes the operations of taking the converse and composing relations .
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