HURD is a mutually recursive acronym, standing for HIRD of Unix-replacing daemons, where HIRD stands for HURD of interfaces representing depth.

The name LAME is a recursive acronym for " LAME Ain't an MP3 Encoder ".

MusicBrainz initially used Relatable's patented TRM ( a recursive acronym for TRM Recognizes Music ) for acoustic fingerprint matching.

While PHP originally stood for Personal Home Page, it is now said to stand for PHP: Hypertext Preprocessor, a recursive acronym.

Symbolics ' Zmacs text editor, a variant of Emacs, was implemented in a text-processing package named " ZWEI ", an acronym for " Zwei was Eine initially " — " Eine " being an acronym for " Eine Is Not Emacs " ( both recursive acronyms and puns on the German words for " One " (" Eins ", " Eine ") and " Two " (" Zwei ")).

Later redefined to YAML Ain't Markup Language, making a recursive acronym

* The GNU Hurd project is named with a mutually recursive acronym: " Hurd " stands for " Hird of Unix-Replacing Daemons ", and " Hird " stands for " Hurd of Interfaces Representing Depth.

* Most recursive acronyms are recursive on the first letter, which is therefore an arbitrary choice, often selected for reasons of humour, ease of pronunciation, or consistency with an earlier acronym that used the same letters for different words, such as PHP: PHP Hypertext Preprocessor, which was originally " Personal home page ".

* TIARA — TIARA is a recursive acronym

Zinf is a recursive acronym that stands for " Zinf Is Not FreeAmp!

In 2002, a group of students founded a computing club called FIG ( a recursive acronym for FIG Is Good ).

NiL ( recursive acronym for NiL Isn't Liero ) is a clone of Liero, which runs on Linux and Windows and is released under the terms of the GNU General Public License.

Designed to run on Linux and other Unix-like computer operating systems, its name is a recursive acronym for Gambas Almost Means Basic.

To make this happen, the GNU Project began working on an operating system called GNU (" GNU " is a recursive acronym that stands for " GNU's Not Unix ").

JACK Audio Connection Kit, which compacts to JACK, a recursive acronym, is a professional sound server daemon that provides real-time, low latency connections for both audio and MIDI data between applications that implement its API.

The name " KOS-MOS " is a recursive acronym used to denote an anti-Gnosis tactic system.

YAML is a recursive acronym for " YAML Ain't Markup Language ".

This kind of naming is known as a " recursive acronym ".

The GNUPedia project changed its name to GNE ( an abbreviation for " GNE is Not an Encyclopedia ", a recursive acronym similar to that of the GNU Project ) on February 2, 2001.

As a recursive acronym, TINT may refer to:

Both Sudan and Ackermann are credited with discovering total computable functions ( termed simply " recursive " in some references ) that are not primitive recursive.

This extreme growth can be exploited to show that f, which is obviously computable on a machine with infinite memory such as a Turing machine and so is a computable function, grows faster than any primitive recursive function and is therefore not primitive recursive.

However, with only authoritative name servers operating, every DNS query must start with recursive queries at the root zone of the Domain Name System and each user system must implement resolver software capable of recursive operation.

Typically, such caching DNS servers, also called DNS caches, also implement the recursive algorithm necessary to resolve a given name starting with the DNS root through to the authoritative name servers of the queried domain.

A theory about some topic is usually first-order logic together with: a specified domain of discourse over which the quantified variables range, finitely many functions which map from that domain into it, finitely many predicates defined on that domain, and a recursive set of axioms which are believed to hold for those things.

Most programming environments with recursive subroutines use a stack for control flow.

recursive flood-fill with 4 directions

recursive flood-fill with 8 directions

This comes in contrast with the direct meaning of the notion of semantic consequence, that quantifies over all structures in a particular language, which is clearly not a recursive definition.

In fact, the model of any theory containing PA obtained by the systematic construction of the arithmetical model existence theorem, is always non-standard with a non-equivalent provability predicate and a non-equivalent way to interpret its own construction, so that this construction is non-recursive ( as recursive definitions would be unambiguous ).

Each frame is both a generic component in a hierarchy of nested subassemblies, and a procedure for integrating itself with its subassembly frames ( a recursive process that resolves integration conflicts in favor of higher level subassemblies ).

This describes the factorial as a recursive function, with a single terminating base case.

Example of a 3-valued logic applied to vague ( undetermined ) cases: Kleene 1952 (§ 64, pp. 332 – 340 ) offers a 3-valued logic for the cases when algorithms involving partial recursive functions may not return values, but rather end up with circumstances " u "

A normal form theorem due to Kleene says that for each k there are primitive recursive functions and such that for any μ-recursive function with k free variables there is an e such that

Both handle cyclic, recursive and shared structures, storage / retrieval of class and metaclass info and include mechanisms for " on the fly " object migration ( i. e. to convert instances which were written by an older version of a class with a different object layout ).

; mu-recursive functions: a computation consists of a mu-recursive function, i. e. its defining sequence, any input value ( s ) and a sequence of recursive functions appearing in the defining sequence with inputs and outputs.

This work, along with Gödel's work on general recursive functions, established that there are sets of simple instructions, which, when put together, are able to produce any computation.

Act II opens with Vladimir singing a recursive round about a dog, which could illustrate the cyclical nature of the play's universe, and also point toward the play's debt to the carnivalesque, music hall traditions, and vaudeville comedy ( this is only one of a number of canine references and allusions in the play ).

Its meaning later shifted to the recursive backronym, Wine Is Not an Emulator in order to differentiate the software from other emulators.

In 1960 the backronym " Mash Until No Good " was created to describe Mung, and a while after it was revised to " Mung Until No Good ", making it one of the first recursive acronyms.

The set of equations ( 5 ), ( 6 ), and the starting equation ( 7 ) is of a recursive type well suited to programming on the digital computer.

Note that " completeness " has a different meaning here than it does in the context of Gödel's first incompleteness theorem, which states that no recursive, consistent set of non-logical axioms of the Theory of Arithmetic is complete, in the sense that there will always exist an arithmetic statement such that neither nor can be proved from the given set of axioms.

In computability theory, the Ackermann function, named after Wilhelm Ackermann, is one of the simplest and earliest-discovered examples of a total computable function that is not primitive recursive.

However, the recursion is bounded because in each recursive application either m decreases, or m remains the same and n decreases.

If we define the function f ( n ) = A ( n, n ), which increases both m and n at the same time, we have a function of one variable that dwarfs every primitive recursive function, including very fast-growing functions such as the exponential function, the factorial function, multi-and superfactorial functions, and even functions defined using Knuth's up-arrow notation ( except when the indexed up-arrow is used ).

Seed AI is a hypothesized type of strong artificial intelligence capable of recursive self-improvement.

A common adaptive method is recursive subdivision, in which a curve's control points are checked to see if the curve approximates a line segment to within a small tolerance.

The recursive equation is best introduced in a slightly more general form

Although the above recursive formula can be used for computation it is

It is not feasible to carry out such a computation using the above recursive formulae, since at least ( a constant multiple of ) p < sup > 2 </ sup > arithmetic operations would be required.

Note that this is different from the recursive languages which can be decided by an always-halting Turing machine.

Note that the set of grammars corresponding to recursive languages is not a member of this hierarchy.

Every regular language is context-free, every context-free language, not containing the empty string, is context-sensitive and every context-sensitive language is recursive and every recursive language is recursively enumerable.