Which of the following relational query languages have the same expres...
Relational algebra is a procedural query language where we input - relations and it yields relations as output. It provides method to get the result. It is performed recursively on a relation and the in between results are relations(output). Basic set of operations for the relational model. Relational calculus is a non - procedural query language. It provides the query to get result. Higher level declarative language for specifying relational queries. Tupple Relational Calculus operates on each tupple. Domain Relational Calculus operates on each column or attribute. Safe expression means fixed no. of tupple or column or attribute as a result But all of them has same expressive power. Just different ways to do so.
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Which of the following relational query languages have the same expres...
Relational Query Languages with Same Expressive Power
Relational query languages are used to retrieve data from a relational database. There are several relational query languages, including relational algebra, tuple relational calculus, and domain relational calculus. The question asks which of these languages have the same expressive power.
I. Relational Algebra
Relational algebra is a procedural query language that uses a set of operations to manipulate relations. The operations include selection, projection, union, intersection, difference, Cartesian product, and join. Relational algebra can express any query that can be expressed using SQL.
II. Tuple Relational Calculus Restricted to Safe Expressions
Tuple relational calculus is a declarative query language that uses a set of variables to represent tuples in the database. The language uses formulas to describe the desired tuples. Tuple relational calculus restricted to safe expressions only allows formulas that use a limited set of operators, including equality, logical connectives, and existential quantifiers. This restriction ensures that the language is safe and avoids infinite loops.
III. Domain Relational Calculus Restricted to Safe Expressions
Domain relational calculus is a declarative query language that uses a set of variables to represent values in the database. The language uses formulas to describe the desired values. Domain relational calculus restricted to safe expressions only allows formulas that use a limited set of operators, including equality, logical connectives, and existential quantifiers. This restriction ensures that the language is safe and avoids infinite loops.
Conclusion
Both Tuple Relational Calculus Restricted to Safe Expressions and Domain Relational Calculus Restricted to Safe Expressions have the same expressive power as Relational Algebra because they can express any query that can be expressed using Relational Algebra. Therefore, the correct answer is D) I, II, and III.
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