In mathematics and computer science, mutual recursion 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 mutual recursion with tail calls, as in both cases the control changes to a different...

recursion is a method of solving a computational problem where the solution depends on solutions to smaller instances of the same problem. Recursion solves...

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...

reading or writing. Course-of-values recursion defines primitive recursive functions. Some forms of mutual recursion also define primitive recursive functions...

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...

method in a base class, or in cases of mutual recursion. The fragile base class problem has been blamed on open recursion, with the suggestion that invoking...

previous step:. Note that pivot calls select; this is an instance of mutual recursion. function pivot(list, left, right) // for 5 or less elements just get...

languages that require declaration before use; it is necessary for mutual recursion in such languages, as it is impossible to define such functions (or...

declarations to define pointer types, or when record declarations led to mutual recursion, or when an identifier may or may not have been used in an enumeration...

types can also be defined by mutual recursion. The most important basic example of this is a tree, which can be defined mutually recursively in terms of a...

y(\lambda z.xxyz))\ (\lambda xy.y(\lambda z.xxyz))} The analog for mutual recursion is a polyvariadic fix-point combinator, which may be denoted Y*. In...

them, and requires forward declaration in some cases, notably for mutual recursion. In other languages, such as Python, a name's scope begins at the start...

second-order logic. More expressive fragments are defined for any k > 0 by mutual recursion: Σ k + 1 1 {\displaystyle \Sigma _{k+1}^{1}} has the form ∃ R 0 … ∃...

Authority and hub values are defined in terms of one another in a mutual recursion. An authority value is computed as the sum of the scaled hub values...

(estimated as 30%-260%) for higher-order or object-oriented programs. Mutual recursion and non-trivial cycles are not resolvable by the gprof approach (context-insensitive...

Multiple passes obviate the need for forward declarations, allowing mutual recursion to be implemented elegantly. The prime examples of languages requiring...

Frost, Hafiz, and Callaghan, which do accommodate ambiguity and left recursion in polynomial time and which generate polynomial-sized representations...

bringing Rintaro's time with Amadeus to an end. 12 "Mother Goose of Mutual Recursion: Recursive Mother Goose" Transliteration: "Sōgosaiki no Mazā Gūsu"...

they are equivalent in the traces model. UFP can also be extended to mutual recursions (by using vectors of processes) and other models of CSP (e.g. in F...

the child trees of ∅. The elements b, c, and d are defined through a mutual recursion. To understand the effect of the latter operations, consider the rightmost...

through single tail recursion (tail recursion calling the same function). Further, tail call optimization allows mutual recursion of unbounded depth,...

(\lambda x.y))} This approach is then generalized to support mutual recursion. A mutually recursive let expression may be composed by rearranging the expression...

allow mutual recursion, which is, in a sense, more lifted than is supported in lambda calculus. Lambda calculus does not support mutual recursion and only...

( α ) {\displaystyle \Psi _{\pi }^{\xi }(\alpha )}  are defined in mutual recursion in the following way: M0 = K ∩ L i m {\displaystyle K\cap {\mathsf...

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...

left recursion. Any context-free grammar can be transformed into an equivalent grammar that has no left recursion, but removal of left recursion does...

lemma is a theorem about fixed-points which allows splitting a mutual recursion into recursions on one variable at a time. It was created by Austrian Hans...

be self-referential, but usually only in a way that permits structural recursion. The standard example is encoding the natural numbers using Peano's encoding...

and recursion solutions, but timing had been a major issue. While the general form of a temporal recursion, being any asynchronous function recursion through...