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  2. Relational calculus - Wikipedia

    en.wikipedia.org/wiki/Relational_calculus

    The relational calculus is similar to the relational algebra, which is also part of the relational model: While the relational calculus is meant as a declarative language that prescribes no execution order on the subexpressions of a relational calculus expression, the relational algebra is meant as an imperative language: the sub-expressions of ...

  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. 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 ...

  5. Selection (relational algebra) - Wikipedia

    en.wikipedia.org/wiki/Selection_(relational_algebra)

    Mutation and Selection. In relational algebra, a selection (sometimes called a restriction in reference to E.F. Codd's 1970 paper [1] and not, contrary to a popular belief, to avoid confusion with SQL's use of SELECT, since Codd's article predates the existence of SQL) is a unary operation that denotes a subset of a relation.

  6. Relation (mathematics) - Wikipedia

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

    Modelling of Concurrent Systems: Structural and Semantical Methods in the High Level Petri Net Calculus. Herbert Utz Verlag. ISBN 978-3-89675-629-9. Rosenstein, Joseph G. (1982), Linear orderings, Academic Press, ISBN 0-12-597680-1; Schmidt, Gunther (2010). Relational Mathematics. Cambridge: Cambridge University Press. ISBN 978-0-521-76268-7.

  7. File:Calculus Made Easy.pdf - Wikipedia

    en.wikipedia.org/wiki/File:Calculus_Made_Easy.pdf

    The following other wikis use this file: Usage on en.wikisource.org Wikisource:Community collaboration/Monthly Challenge/August 2022; Index:Calculus Made Easy.pdf

  8. 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

  9. Domain relational calculus - Wikipedia

    en.wikipedia.org/wiki/Domain_relational_calculus

    This language uses the same operators as tuple calculus, the logical connectives ∧ (and), ∨ (or) and ¬ (not). The existential quantifier (∃) and the universal quantifier (∀) can be used to bind the variables. Its computational expressiveness is equivalent to that of relational algebra. [2]

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