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Tuple relational calculus information


Tuple calculus is a calculus that was created and introduced by Edgar F. Codd as part of the relational model, in order to provide a declarative database-query language for data manipulation in this data model. It formed the inspiration for the database-query languages QUEL and SQL, of which the latter, although far less faithful to the original relational model and calculus, is now the de facto standard database-query language; a dialect of SQL is used by nearly every relational-database-management system. Michel Lacroix and Alain Pirotte proposed domain calculus, which is closer to first-order logic and together with Codd showed that both of these calculi (as well as relational algebra) are equivalent in expressive power. Subsequently, query languages for the relational model were called relationally complete if they could express at least all of these queries.

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Tuple relational calculus

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Tuple calculus is a calculus that was created and introduced by Edgar F. Codd as part of the relational model, in order to provide a declarative database-query...

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Relational calculus

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The relational calculus consists of two calculi, the tuple relational calculus and the domain relational calculus, that is part of the relational model...

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SQL

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, with or without an index. Originally based upon relational algebra and tuple relational calculus, SQL consists of many types of statements, which may...

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Domain relational calculus

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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 database...

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Relational model

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of tuples, grouped into relations. A database organized in terms of the relational model is a relational database. The purpose of the relational model...

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Tuple

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An n-tuple is a tuple of n elements, where n is a non-negative integer. There is only one 0-tuple, called the empty tuple. A 1-tuple and a 2-tuple are...

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Relational database

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extracts only the specified attributes from a tuple or set of tuples. The join operation defined for relational databases is often referred to as a natural...

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Relational

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technique for relational databases Relational concept, a set of mathematically defined tuples in tuple relational calculus Relational model, a database...

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Relational algebra

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construction Relational calculus Relational database Relational model Theory of relations Triadic relation Tuple relational calculus SQL Datalog Codd's theorem...

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QUEL query languages

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QUEL is a relational database query language, based on tuple relational calculus, with some similarities to SQL. It was created as a part of the Ingres...

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Primary key

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In the relational model of databases, a primary key is a specific choice of a minimal set of attributes (columns) that uniquely specify a tuple (row) in...

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Database normalization

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; Fagin, Ronald (2012). "A Normal Form for Preventing Redundant Tuples in Relational Databases" (PDF). Proceedings of the 15th International Conference...

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Join

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computing: Join (relational algebra), a binary operation on tuples corresponding to the relation join of SQL Join (SQL), relational join, a binary operation...

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List of formal systems

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invented by Robin Milner Relational calculus, a calculus for the relational data model Domain relational calculus Tuple calculus, inspired the SQL language...

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Outline of databases

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operators. Relational calculus – consists of two calculi, the tuple relational calculus and the domain relational calculus, that are part of the relational model...

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Database

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relationships, using a set of operations based on the mathematical system of relational calculus (from which the model takes its name). Splitting the data into a...

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Finitary relation

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subset of the Cartesian product X1 × ... × Xn; that is, it is a set of n-tuples (x1, ..., xn), each being a sequence of elements xi in the corresponding...

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Binary relation

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(X,Y,G)} , as normally a proper class cannot be a member of an ordered tuple; or of course one can identify the binary relation with its graph in this...

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Modal logic

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worlds. Thus, the relational semantics interprets formulas of modal logic using models defined as follows. A relational model is a tuple M = ⟨ W , R , V...

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Data model

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and the manipulation part is expressed using the relational algebra, tuple calculus and domain calculus. A data model instance is created by applying a...

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Relation

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logic Relational model, an approach to managing data Relation (database), a component of a relational database Relational algebra Relational calculus Relational...

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Fril

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Fril is a programming language for first-order predicate calculus. It includes the semantics of Prolog as a subset, but takes its syntax from the micro-PROLOG [es]...

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Conjunctive query

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queries, because they are the equivalent, in the relational calculus, of the equi-join queries in the relational algebra (when selecting all columns of the...

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