Question for discussion: Can a type be designed in TypeScript to represent the concept of an empty set? I have experimented with defining one using union, disjoint union, intersection, and other methods...
Question for discussion: Can a type be designed in TypeScript to represent the concept of an empty set? I have experimented with defining one using union, disjoint union, intersection, and other methods...
A versatile programming approach is crucial in determining the efficacy of a specific type. One way to define an EmptySet is outlined below:
interface ISet {
intersection: (s: ISet) => ISet;
union: (s: ISet) => ISet;
}
class EmptySet implements ISet {
intersection(s: ISet) {
return this;
}
union(s: ISet) {
return s;
}
}
class NonEmptySet implements ISet { ... }
The ISet serves as a general agreement for a set, while the EmptySet acts as a concrete representation adhering to that accord. Beyond mere union and intersection operations, a set can perform numerous other functions.
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