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  2. Relational algebra - Wikipedia

    en.wikipedia.org/wiki/Relational_algebra

    Lecture Videos: Relational Algebra Processing - An introduction to how database systems process relational algebra; Lecture Notes: Relational Algebra – A quick tutorial to adapt SQL queries into relational algebra; Relational – A graphic implementation of the relational algebra; Query Optimization This paper is an introduction into the use ...

  3. Codd's theorem - Wikipedia

    en.wikipedia.org/wiki/Codd's_theorem

    Codd's theorem states that relational algebra and the domain-independent relational calculus queries, two well-known foundational query languages for the relational model, are precisely equivalent in expressive power. That is, a database query can be formulated in one language if and only if it can be expressed in the other.

  4. Relation (database) - Wikipedia

    en.wikipedia.org/wiki/Relation_(database)

    A view can be defined by an expression using the operators of the relational algebra or the relational calculus. Such an expression operates on one or more relations and when evaluated yields another relation. The result is sometimes referred to as a "derived" relation when the operands are relations assigned to database variables.

  5. Relational model - Wikipedia

    en.wikipedia.org/wiki/Relational_model

    Most relational databases use the SQL data definition and query language; these systems implement what can be regarded as an engineering approximation to the relational model. A table in a SQL database schema corresponds to a predicate variable; the contents of a table to a relation; key constraints, other constraints, and SQL queries ...

  6. Tuple relational calculus - Wikipedia

    en.wikipedia.org/wiki/Tuple_relational_calculus

    Since the calculus is a query language for relational databases we first have to define a relational database. The basic relational building block is the domain (somewhat similar, but not equal to, a data type). A tuple is a finite sequence of attributes, which are ordered pairs of domains and values. A relation is a set of (compatible) tuples ...

  7. Armstrong's axioms - Wikipedia

    en.wikipedia.org/wiki/Armstrong's_axioms

    Given a set of functional dependencies , an Armstrong relation is a relation which satisfies all the functional dependencies in the closure + and only those dependencies. . Unfortunately, the minimum-size Armstrong relation for a given set of dependencies can have a size which is an exponential function of the number of attributes in the dependencies conside

  8. Domain relational calculus - Wikipedia

    en.wikipedia.org/wiki/Domain_relational_calculus

    An alternate representation of the previous example would be: { , ,, , ′ ′, } In this example, the value of the requested F domain is directly placed in the formula and the C domain variable is re-used in the query for the existence of a department, since it already holds a crew member's ID.

  9. Edgar F. Codd - Wikipedia

    en.wikipedia.org/wiki/Edgar_F._Codd

    Codd continued to develop and extend his relational model, sometimes in collaboration with Christopher J. Date. [24] One of the normalised forms, the Boyce–Codd normal form, is named after him. [25] Codd's theorem, a result proven in his seminal work on the relational model, equates the expressive power of relational algebra and relational ...