In mathematics and computer science, mutual recursion is a form of recursion where two mathematical or computational objects, such as functions or datatypes, are defined in terms of each other.[1] Mutual recursion is very common in functional programming and in some problem domains, such as recursive descent parsers, where the datatypes are naturally mutually recursive.
^Manuel Rubio-Sánchez, Jaime Urquiza-Fuentes, Cristóbal Pareja-Flores (2002), 'A Gentle Introduction to Mutual Recursion', Proceedings of the 13th annual conference on Innovation and technology in computer science education, June 30–July 2, 2008, Madrid, Spain.
In mathematics and computer science, mutualrecursion is a form of recursion where two mathematical or computational objects, such as functions or datatypes...
Using coroutines for state machines or concurrency is similar to using mutualrecursion with tail calls, as in both cases the control changes to a different...
tail recursive, which is a special case of direct recursion. Tail recursion (or tail-end recursion) is particularly useful, and is often easy to optimize...
languages that require declaration before use; it is necessary for mutualrecursion in such languages, as it is impossible to define such functions (or...
previous step:. Note that pivot calls select; this is an instance of mutualrecursion. function pivot(list, left, right) // for 5 or less elements just get...
reading or writing. Course-of-values recursion defines primitive recursive functions. Some forms of mutualrecursion also define primitive recursive functions...
Authority and hub values are defined in terms of one another in a mutualrecursion. An authority value is computed as the sum of the scaled hub values...
(estimated as 30%-260%) for higher-order or object-oriented programs. Mutualrecursion and non-trivial cycles are not resolvable by the gprof approach (context-insensitive...
types can also be defined by mutualrecursion. The most important basic example of this is a tree, which can be defined mutually recursively in terms of a...
through single tail recursion (tail recursion calling the same function). Further, tail call optimization allows mutualrecursion of unbounded depth,...
In computer science, anonymous recursion is recursion which does not explicitly call a function by name. This can be done either explicitly, by using a...
(\lambda x.y))} This approach is then generalized to support mutualrecursion. A mutually recursive let expression may be composed by rearranging the expression...
allow mutualrecursion, which is, in a sense, more lifted than is supported in lambda calculus. Lambda calculus does not support mutualrecursion and only...
parsing, left recursion must be eliminated. Direct recursion, be that left or right, is important in context-free grammars, because there recursion is the only...
( α ) {\displaystyle \Psi _{\pi }^{\xi }(\alpha )} are defined in mutualrecursion in the following way: M0 = K ∩ L i m {\displaystyle K\cap {\mathsf...
the child trees of ∅. The elements b, c, and d are defined through a mutualrecursion. To understand the effect of the latter operations, consider the rightmost...
{\textbf {'aa'}}} and 'aba3aba' {\displaystyle {\textbf {'aba3aba'}}} . Left recursion happens when a grammar production refers to itself as its left-most element...
left recursion. Any context-free grammar can be transformed into an equivalent grammar that has no left recursion, but removal of left recursion does...
and recursion solutions, but timing had been a major issue. While the general form of a temporal recursion, being any asynchronous function recursion through...