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Mutual recursion information


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.

  1. ^ 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.

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Mutual recursion

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In mathematics and computer science, mutual recursion is a form of recursion where two mathematical or computational objects, such as functions or datatypes...

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Coroutine

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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...

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Tail call

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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...

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Forward declaration

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

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Median of medians

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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...

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Primitive recursive function

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

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Extensible Embeddable Language

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print("Recursion test 1:\n"); procedure recurse(arg) { print("arg = ", arg, "\n"); if arg recurse(arg - 1); } recurse(10); print("Recursion test 2; Mutual Recursion:\n");...

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HITS algorithm

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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...

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Gprof

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(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...

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Recursive data type

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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...

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Goto

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

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Anonymous recursion

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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...

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Let expression

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

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Lambda lifting

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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...

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Parsing expression grammar

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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...

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Ordinal collapsing function

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

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Grigorchuk group

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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...

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Packrat parser

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{\textbf {'aa'}}} and 'aba3aba' {\displaystyle {\textbf {'aba3aba'}}} . Left recursion happens when a grammar production refers to itself as its left-most element...

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Recursive descent parser

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

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Live coding

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

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