Questions tagged [relational-algebra]

the study of relations (i.e., database tables) and relational operators (join, selection, projection, etc.) as a kind of algebraic structure.

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Algorithm for segmenting input query into query/join tree

Wondering what algorithms look like for implementing a complex JOIN query handler. Taking a look at this paper Building Query Compilers they talk about Query Graphs ...
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Optional filters in relational database

I'm trying to create a procedure in MySQL/MariaDB with optional filters for each participating table. Assuming the tables are $A, B, C, \ldots$, each table may or may not be filtered, and the result ...
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Two related partial order relations

We will consider a set whose elements I call "precedences". Precedences are related by two relations: "is subclass of" and "higher than", which are specified by some pairs (given on algorithm input) ...
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Using cross-products with relational algebra

I have some questions about something that I'm working on in an assignment for my database class. Here is the schema for the questions I'm working on, so that you know what to refer to: ...
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Is it possible to convert any relational algebra expression into a relational calculus expression?

Let's for the sake of simplicity only focus on tuple relational calculus. Every relational algebra query can be broken down into the 5 atomic operations - projection, selection, set union, set ...
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constant relation in the base case of relational algebra

in the base case of the inductive definition of the operations of the relational algebra there is also the so called "constant relation" (as for example found in the definition here https://...
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Which of the query approaches are more efficient?

There are two relations, registered(participant,topic) and fee(participant,amount). The primary key for registered is (participant, topic) and the primary key for fee is participant. The premise is ...
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Is Neo4J computationally equivalent to relational algebra

I am wondering whether Neo4j and the associated Cypher query language is computationally equivalent to relational algebra? Any ideas or papers on that topic?
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Functional dependencies on relational schema

Given a relational schema $R(V,W,X,Y,Z)$ with functional dependencies $F = \{VW \to X, X \to YZ, W \to VX, V \to W, Z \to XY\}$. What are the keys of $R$? Is the key just $V$? If so, is $\{ R_2(V,W,...
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Using relational algebra to express all with a condition

I encountered this question while revising for my finals exam on database theory. The following database contains information about car repair workshops. The following tables are used: $$Workshop(\...
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255 views

Relational algebra for multiple legs of a flight

I'm trying to write the relational algebra for a problem related to this schema: I want to do the following: For each flight list the departure airport code for the first leg of the flight and the ...
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161 views

How to find the least optimised database query?

A library uses a relational database to store data about library books, their members and lending (books, which are currently borrowed). The database relations of this system are given below. Lengths ...
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118 views

Is existential quantifier redundant

I was reading Tuple Relational Calculus from a textbook. I came across this query: For every project located in 'Stafford', list the project number, the controlling department number, and the ...
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In search for toy relations to test relational algebra

Does anybody know any toy database / relations that are particularly good and also complete to demonstrate and test relational algebra concepts? I'm hoping some database researchers should have ...
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How attributes helps us to allow column interchange in a relational database?

A relation on two sets $A$ and $B$ is defined as the subset of the cartesian product $$A\times B = \{(a,b),\ a \in A, b \in B\}$$ A database is also a relation and each entry is an ordered tuple ...
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How to find all tuples in which some attribute appears more than three times

im havin trouble with this exercise. I have a table like this and i can only use relational algebra without aggregate function like sum, count, etc. Name | x a ~~ 1 b ~~ 2 c ~~ 1 d ~~ ...
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Using count() in Relational Algebra

Sell (Bar, Beer) I want a table in which the first column has the name of the beer and the second has the total number of bars which sell that beer, but I have no idea how to use count () in the right ...
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Relation Closure for F+

$A \rightarrow B C$ $C D \rightarrow E$ $B \rightarrow D$ $E \rightarrow A$ I have these Relations for R={A,B,C,D,E} Now I have to calculate the closure $F^+$ and give the candidate keys I came ...
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Incremental View Maintenance for projection

I was reading https://www2.cs.duke.edu/courses/spring02/cps296.1/lectures/08-view.pdf Or in the paper "Incremental Maintenance of Views with Duplicates," by Griffin and Libkin, SIGMOD, 1995. figure 2....
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Finding the frequency of each unique value of an attribute in a relation (RELATIONAL ALGEBRA)

I am trying to figure out how I can use aggregate functions to solve this problem. For example if I had the table enrolled(student-id, course-id) 123 897 123 645 589 452 009 897 If I wanted to ...
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finding third functional dependency and its candidate keys

i'm solving a multi part question regarding candidate keys and functional dependencies. now i've already found 2 dependencies(the canonical covering of the functional dependencies contains only 3 ...
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167 views

Domain relational calculus to relational algebra

I have an expression in DRC $\{\langle a,b,c \rangle \mid \langle a,b \rangle \in r \land \langle a,b \rangle \in s\}$, where $r = (A,B)$ and $s = (A,C)$. I want to convert it onto relational algebra ...
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How many passes does it take to join 2 relations of fixed size with M buffer blocks?

So let's say 2 relations, B(R) = 200,000 and B(S) = 300,000. The memory buffer is M = 400 blocks. How many passes would this take to join? Notation:
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Proof of RAP-derivation sequence for a set of functional dependencies in relational databases

I'm reading David Maier's outstanding but out-of-print book on relational databases (the book,"The Theory of Relational Databases", is available online from the author's website http://web.cecs.pdx....
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383 views

Algorithm to test dependency preservation

Is there an algorithm to test whether the decomposition of relation $R$ into relations $R_1,\dots,R_n$ is dependency-preserving? In more detail, I am given a relation $R(x_1,\dots,x_m)$ on $m$ ...
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Relational Algebra - Mistake in the quiz?

I've just done a mini test and scored 9/10, however, from my understanding, I think this question is incorrect. Here is the only question which I don't understand how it can be correct: So I joined ...
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835 views

convert domain relational calculus with two same tuples to relational algebra

Given two relations $R(A, B)$ and $S(A, C)$. I can understand the early part is the projection of attribute $A$ from $S$, which could be written as $π_a(S)$, but later part is confusing and not ...
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Relational Algebra Queries look same

Query A and Query C seem to be the same.But given answer is query A. Can someone help me to find the difference between queries A and C ?
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475 views

Query Super Type and Subtype in Mysql

Assuming I have a schema depicted in the image , showing relationships(specialization) between Staffs, Academic Staffs and Non Academic Staffs. Is it possible to have a query that retrieves the ...