Transitive-Closure Input: a list of pairs, L. Interpreting L as a binary relation, Transitive-Closure should return the transitive closure of L.
SQL
SQL stands for Structured Query Language, is a form of communication that uses queries structured in a specific format to store, manage & retrieve data from a relational database.
Queries
A query is a type of computer programming language that is used to retrieve data from a database. Databases are useful in a variety of ways. They enable the retrieval of records or parts of records, as well as the performance of various calculations prior to displaying the results. A search query is one type of query that many people perform several times per day. A search query is executed every time you use a search engine to find something. When you press the Enter key, the keywords are sent to the search engine, where they are processed by an algorithm that retrieves related results from the search index. Your query's results are displayed on a search engine results page, or SER.
Implement the following Racket functions:
Transitive-Closure
Input: a list of pairs, L. Interpreting L as a binary relation, Transitive-Closure should return the transitive closure of L.
Examples:
(Transitive-Closure '((a b) (b c) (a c)))
---> '((a b) (b c) (a c))
(Transitive-Closure '((a a) (b b) (c c)))
---> '((a a) (b b) (c c))
(Transitive-Closure '((a b) (b a)))
---> '((a b) (b a) (a a) (b b)))
(Transitive-Closure '((a b) (b a) (a a)))
---> '((a b) (b a) (a a) (b b))
(Transitive-Closure '((a b) (b a) (a a) (b b)))
---> '((a b) (b a) (a a) (b b))
(Transitive-Closure '())
---> '()
You must use recursion, and not iteration. You may not use side-effects (e.g. set!).
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