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In [[computer science]], '''domain relational calculus''' ('''DRC''') is a calculus that was introduced by Michel Lacroix and [[ Alain Pirotte]] as a [[declarative programming|declarative]] [[query language|database query language]] for the [[relational model|relational data model]].<ref name="LP77">Michel Lacroix, Alain Pirotte: Domain-Oriented Relational Languages. VLDB 1977: 370-378</ref>
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In DRC, ''queries'' have the form:
 
:<math> \{\langle X_1, X_2, ...., X_n \rangle \mid p(\langle X_1, X_2, ...., X_n\rangle) \} </math>
 
where each X<sub>i</sub> is either a domain variable or constant, and <math>p(\langle X_1, X_2, ...., X_n \rangle)</math> denotes a DRC ''formula''The result of the query is the set of tuples X<sub>i</sub> to X<sub>n</sub> which makes the DRC formula true.
 
This language uses the same operators as [[tuple calculus]],
the logical connectives &and; (and), &or; (or) and &not; (not). The [[existential quantification|existential quantifier]] (&exist;) and the [[universal quantification|universal quantifier]] (&forall;) can be used to bind the variables.
 
Its computational expressiveness is equivalent to that of [[Relational algebra]].<ref name="Codd72a">[[E. F. Codd]]: Relational Completeness of Data Base Sub-languages. In R. Rustin, editor, Data Base Systems. Prentice Hall, 1972 </ref>
==Examples==
Let (A, B, C) mean (Rank, Name, ID)
 
and (D, E, F) to mean (Name, DeptName, ID)
 
Find all captains of the starship [[USS Enterprise (NCC-1701)|USS Enterprise]]:
 
<math>\left\{ \ {\left\langle A, B, C \right\rangle} \mid {\left\langle A, B, C \right\rangle \in \mathrm{Enterprise} \ \land \ A = \mathrm{Captain} } \ \right\}</math>
 
In this example, A, B, C denotes both the result set and a set in the table Enterprise.
 
Find Names of Enterprise crewmembers who are in Stellar Cartography:
 
<math>
\begin{align}
\{ {\left\langle B \right\rangle} & \mid {\exists A, C \ \left\langle A, B, C \right\rangle \in \mathrm{Enterprise} } \\
                              & \land \ {\exists D, E, F \ \left\langle D, E, F \right\rangle \in \mathrm{Departments} } \\
                              & \land \ F = C \ \land \ E = \mathrm{Stellar \ Cartography} \} \\
\end{align}</math>
 
In this example, we're only looking for the name, and that's B.  F = C is a requirement, because we need to find Enterprise crew members AND they are in the Stellar Cartography Department.
 
An alternate representation of the previous example would be:
 
<math>\left\{ \ {\left\langle B \right\rangle} \mid {\exists A, C \ \left\langle A, B, C \right\rangle \in \mathrm{Enterprise} } \ \land \ {\exists D \ \left\langle D, \mathrm{Stellar \ Cartography}, C \right\rangle \in \mathrm{Departments} } \ \right\}</math>
 
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.</pre>
 
Relational Data Model:
The Relational model uses relation (table) to represent both entities and relationships
among entities. A relation may be visualized as a table. However table is just one of the way, among many, to represent a relation.
== See also ==
*[[Relational algebra]]
*[[Relational calculus]]
**[[Tuple relational calculus]] (TRC)
* [[Aldat Relational Algebra]]
* [[Domain algebra]]
 
== References ==
 
<references/>
 
[[Category:Relational model]]
[[Category:Logical calculi]]

Latest revision as of 21:17, 24 September 2014

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