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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

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

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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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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