4. O] The abstract data type (ADT) Set(Elm) represent sets. Accordingly, the following is a possible set of operators: new: Set in Set Elm → Bool empty Set → Bool count Set Integer add Set Elm → Set delete Set Elm → Set intersect Set x Set union Set × Set → Set create a new, empty set true iff a value is in a set true is the set is empty returns the number of values in the set adds a value to a set removes a value from a set Set returns the intersection of two sets returns the union of two sets (a) [5] Identify between the operators enumerated above a minimal set of constructors and justify your choice (b) [5] Provide axioms for the operators empty, count, and delete.

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter13: Overloading And Templates
Section: Chapter Questions
Problem 15PE
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4.
O] The abstract data type (ADT) Set(Elm) represent sets. Accordingly, the following is a
possible set of operators:
new: Set
in Set Elm → Bool
empty Set → Bool
count Set Integer
add Set Elm → Set
delete Set Elm → Set
intersect Set x Set
union Set × Set → Set
create a new, empty set
true iff a value is in a set
true is the set is empty
returns the number of values in the set
adds a value to a set
removes a value from a set
Set
returns the intersection of two sets
returns the union of two sets
(a) [5] Identify between the operators enumerated above a minimal set of constructors and
justify your choice
(b) [5] Provide axioms for the operators empty, count, and delete.
Transcribed Image Text:4. O] The abstract data type (ADT) Set(Elm) represent sets. Accordingly, the following is a possible set of operators: new: Set in Set Elm → Bool empty Set → Bool count Set Integer add Set Elm → Set delete Set Elm → Set intersect Set x Set union Set × Set → Set create a new, empty set true iff a value is in a set true is the set is empty returns the number of values in the set adds a value to a set removes a value from a set Set returns the intersection of two sets returns the union of two sets (a) [5] Identify between the operators enumerated above a minimal set of constructors and justify your choice (b) [5] Provide axioms for the operators empty, count, and delete.
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