Apomorphism

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In formal methods of computer science, an apomorphism (from ἀπό — Greek for "apart") is the categorical dual of a paramorphism and an extension of the concept of anamorphism (coinduction). Whereas a paramorphism models primitive recursion over an inductive data type, an apomorphism models primitive corecursion over a coinductive data type.

In formal methods of computer science, an apomorphism (from ἀπό — Greek for "apart") is the categorical dual of a paramorphism and an extension of the concept of anamorphism (coinduction). Whereas a paramorphism models primitive recursion over an inductive data type, an apomorphism models primitive corecursion over a coinductive data type.

Origins

The term "apomorphism" was introduced in Functional Programming with Apomorphisms (Corecursion).

See also

Morphism Morphisms of F-algebras From an initial algebra to an algebra: Catamorphism From a coalgebra to a final coalgebra: Anamorphism An anamorphism followed by an catamorphism: Hylomorphism Extension of the idea of catamorphisms: Paramorphism

References

Text derived from https://en.wikipedia.org/w/index.php?oldid=1334691500 under CC BY-SA 4.0; modifications have been made.

Provenance

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