3. Transitive? Input: a lists of pairs, L. Interpreting the input as a binary relation, return return #T if it is Transitive and #F otherwise 4. Substitute Input: two atoms and a list that might itself contain lists as elements. Substitute will replace every occurrence of the first atom with the second in the list.

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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Racket code only please. No loops or use of hash.

Allowed functions are:

1. define, let
2. lambda
3. cons, car, cdr, list, list?, append, empty?, length, equal?
4. and, or, not
5. if, cond
6. map, append-map, andmap, ormap, filter
7. +, -, /, *
8. Functions you implement

3. Transitive?
Input: a lists of pairs, L. Interpreting the input as a binary relation, return return #T if it is
Transitive and #F otherwise
4. Substitute
Input: two atoms and a list that might itself contain lists as elements. Substitute will
replace every occurrence of the first atom with the second in the list.
Example:
should return
(substitute 'bim 'bam '(a b bim (c d bim e) (f (g h (i bim)) j))
(a b bam (c d bam e) (f (gh (i bam)) j))
Transcribed Image Text:3. Transitive? Input: a lists of pairs, L. Interpreting the input as a binary relation, return return #T if it is Transitive and #F otherwise 4. Substitute Input: two atoms and a list that might itself contain lists as elements. Substitute will replace every occurrence of the first atom with the second in the list. Example: should return (substitute 'bim 'bam '(a b bim (c d bim e) (f (g h (i bim)) j)) (a b bam (c d bam e) (f (gh (i bam)) j))
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Thank you! Transitive is failing for these cases. Do you have any advice?

(transitive? '((a . b) (b . c) (a . c) (b . d) (a . d) (j . k) (j . l) (k . l))

(transitive? '((a . a) (b . b) (c . d)))
(transitive? '((a . c) (a . b) (b . c) (j . k) (k . j) (j . j) (k . k)))

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