Implement the following Racket functions: Reflexive? Input: a list of pairs, L and a list S. Interpreting L as a binary relation over the set S, Reflexive? returns #t if L is a reflexive relation over the set S and #f otherwise. Examples: (display "Reflexive?\n") (Reflexive? '((a a) (b b) (c c)) '(a b c)) ---> #t (Reflexive? '((a a) (b b)) '(a b c)) ---> #f (Reflexive? '((a a) (a s) (b b) (c c)) '(a b c)) ---> #f (Reflexive? '() '()) ---> #t
Implement the following Racket functions: Reflexive? Input: a list of pairs, L and a list S. Interpreting L as a binary relation over the set S, Reflexive? returns #t if L is a reflexive relation over the set S and #f otherwise. Examples: (display "Reflexive?\n") (Reflexive? '((a a) (b b) (c c)) '(a b c)) ---> #t (Reflexive? '((a a) (b b)) '(a b c)) ---> #f (Reflexive? '((a a) (a s) (b b) (c c)) '(a b c)) ---> #f (Reflexive? '() '()) ---> #t
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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Question
Implement the following Racket functions:
Reflexive?
Input: a list of pairs, L and a list S. Interpreting L as a binary relation over the set S, Reflexive? returns #t if L is a reflexive relation over the set S and #f otherwise.
Examples:
(display "Reflexive?\n")
(Reflexive? '((a a) (b b) (c c)) '(a b c)) ---> #t
(Reflexive? '((a a) (b b)) '(a b c)) ---> #f
(Reflexive? '((a a) (a s) (b b) (c c)) '(a b c)) ---> #f
(Reflexive? '() '()) ---> #t
You must use recursion, and not iteration. You may not use side-effects (e.g. set!).
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