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In type theory, bounded quantification (also bounded polymorphism or constrained genericity) refers to universal or existential quantifiers which are restricted ("bounded") to range only over the subtypes of a particular type. Bounded quantification is an interaction of parametric polymorphism with subtyping.
Roberts (p. 171) gives a related example in Java, using a Class to represent a stack frame. The example given is a solution to the Tower of Hanoi problem wherein a stack simulates polymorphic recursion with a beginning, temporary and ending nested stack substitution structure.
Composition over inheritance (or composite reuse principle) in object-oriented programming (OOP) is the principle that classes should favor polymorphic behavior and code reuse by their composition (by containing instances of other classes that implement the desired functionality) over inheritance from a base or parent class. [2]
Impredicative polymorphism (also called first-class polymorphism) is the most powerful form of parametric polymorphism. [1]: 340 In formal logic, a definition is said to be impredicative if it is self-referential; in type theory, it refers to the ability for a type to be in the domain of a quantifier it contains. This allows the instantiation ...
Reportedly, Java inventor James Gosling has spoken against implementation inheritance, stating that he would not include it if he were to redesign Java. [19] Language designs that decouple inheritance from subtyping (interface inheritance) appeared as early as 1990; [ 21 ] a modern example of this is the Go programming language.
Polymorphism: Enables the use of polymorphic behavior, making code more flexible and reusable. Reliability: Ensures that subclasses adhere to the contract defined by the superclass. Predictability: Guarantees that replacing a superclass object with a subclass object won't break the program.
Not all languages support multiple inheritance. For example, Java allows a class to implement multiple interfaces, but only inherit from one class. [22] If multiple inheritance is allowed, the hierarchy is a directed acyclic graph (or DAG for short), otherwise it is a tree. The hierarchy has classes as nodes and inheritance relationships as links.
However, since multiple inheritance is slightly less efficient than single inheritance anyway, the overhead will not be a major problem. [ 1 ] [ 2 ] Cyclic reference - The Twin pattern relies on each twin referencing the other twin, which causes a cyclic reference scenario.