Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Question

Implement the following Racket functions:

Transitive?  

Input: a list of pairs, L. Interpreting L as a binary relation, Transitive? returns #t if L is a transitive relation and #f otherwise.

Examples:

(display "Transitive? \n")    

(Transitive? '((a b) (b c) (a c)))   ---> #t

(Transitive? '((a a) (b b) (c c))) ---> #t 

(Transitive? '((a b) (b a)))  ---> #f

(Transitive? '((a b) (b a) (a a))) ---> #f

(Transitive? '((a b) (b a) (a a) (b b))) ---> #t

(Transitive? '())---> #t

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