Rekursionerkan

Rekursionerkan is a theoretical construct in the study of recursion and metaprogramming. The term appears in Swedish-language discussions and denotes a generic framework for describing recursive processes that generate instances of their own structure.

It consists of a base case, a recursive rule that transforms an input into a new instance of the same form, and a termination or convergence mechanism that prevents infinite expansion. In formal terms, rekursionerkan captures self-reference by composing a function with its own output.

It is used to illustrate fixed points, self-similarity, and convergence phenomena in recursive definitions. Depending on the context, the framework may support higher-order recursion, lazy evaluation, or parameterized termination.

In education and theory, rekursionerkan serves as a didactic model for explaining recursion and recursion depth, and as a minimal abstraction for analyzing recursive algorithms, data transformations, or fractal-like constructions.

Because rekursionerkan is not a standard term in formal literature, definitions vary by author. Some treat it as a pedagogical tool, others as a formal class of recursive schemes with specific termination guarantees.