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Mathematically, a set of mutually recursive functions are primitive recursive, which can be proven by course-of-values recursion, building a single function F that lists the values of the individual recursive function in order: = (), (), (), (), …, and rewriting the mutual recursion as a primitive recursion. Any mutual recursion between two ...
In computer science, corecursion is a type of operation that is dual to recursion.Whereas recursion works analytically, starting on data further from a base case and breaking it down into smaller data and repeating until one reaches a base case, corecursion works synthetically, starting from a base case and building it up, iteratively producing data further removed from a base case.
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In computability theory, Bekić's theorem or Bekić's lemma is a theorem about fixed-points which allows splitting a mutual recursion into recursions on one variable at a time. [1] [2] [3] It was created by Austrian Hans Bekić (1936-1982) in 1969, [4] and published posthumously in a book by Cliff Jones in 1984. [5] The theorem is set up as ...
This mutually recursive definition can be converted to a singly recursive definition by inlining the definition of a forest: t: v [t[1], ..., t[k]] A tree t consists of a pair of a value v and a list of trees (its children). This definition is more compact, but somewhat messier: a tree consists of a pair of one type and a list another, which ...
The frilly, off-the-shoulder design featured wide, undulating swathes of fabric along the top and bottom hems, with the neckline folding over to create a three-dimensional double layer, which was ...
State machines within a single subroutine, where the state is determined by the current entry/exit point of the procedure; this can result in more readable code compared to use of goto, and may also be implemented via mutual recursion with tail calls. Actor model of concurrency, for instance in video games.