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

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Implement the following Racket functions:

You must use recursion, and not iteration. You may not use side-effects (e.g. set!). 

 

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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