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Type of algorithm in computer science
In computer science, corecursion is a type of operation that is dual to (structural) recursion. Whereas recursion consumes a data structure by first handling
Corecursion
Use of functions that call themselves
specifies how to create the structure and what it may be created from. Corecursion is related to coinduction, and can be used to compute particular instances
Recursion_(computer_science)
Process of repeating items in a self-similar way
-ception to a noun to jokingly indicate the recursion of something. Corecursion – Type of algorithm in computer science Course-of-values recursion –
Recursion
primitive corecursion over a coinductive data type. The term "apomorphism" was introduced in Functional Programming with Apomorphisms (Corecursion). Morphism
Apomorphism
Proof method in mathematical logic
P\}\subseteq P} This is precisely mathematical induction as stated. F-coalgebra Corecursion Bisimulation Anamorphism Total functional programming "Co-Logic Programming
Coinduction
Potentially infinite analog of a list, in type theory and functional programming
they must be defined as codata and can be iterated over using (guarded) corecursion. Java provides the Stream interface under the java.util.stream namespace
Stream_(abstract_data_type)
Class of algorithms
data structure, traversal can be defined by recursion or, more subtly, corecursion, in a natural and clear fashion; in these cases the deferred nodes are
Tree_traversal
Programming paradigm restricted to provably terminating programs
applications such as I/O. Using codata entails the usage of such operations as corecursion. However, it is possible to do I/O in a total functional programming
Total_functional_programming
Routine that generates a sequence of values
for an alternative Lazy evaluation for producing values when needed Corecursion for potentially infinite data by recursion instead of yield Coroutine
Generator (computer programming)
Generator_(computer_programming)
Features in Haskell programming language
: 1 : zipWith (+) fibs (tail fibs) The infinite list is produced by corecursion — the latter values of the list are computed on demand starting from
Haskell_features
Relationship between programs and proofs
still retaining high computational complexity), using more controlled corecursion wherever non-terminating behavior is actually desired. In its more general
Curry–Howard_correspondence
Subroutine call performed as final action of a procedure
science) Primitive recursive function Inline expansion Leaf subroutine Corecursion Like this: if (ls) { head = (LinkedList*)malloc(sizeof(*head)); head->value
Tail_call
Mathematical object
F-coalgebras. The finality provides a general framework for coinduction and corecursion. For example, using the same functor 1 + (−) as before, a coalgebra is
Initial_algebra
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Boy/Male
Assamese, Australian, English, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Punjabi, Sanskrit, Sikh, Tamil, Telugu, Traditional
Prosperity; Intelligence; Desire; Fortunate; Happy; Richness; Glorious; Powerful; Born of Moon; Super Human Power; Great Brother Hood
Male
Hebrew
(זְרוּבָּבֶל) Hebrew name ZERUBBABEL means "born at Babylon" or "scattered to Babylon." In the bible, this is the name of the leader of the first of the returning exiles.
Girl/Female
Hindu, Indian, Marathi
Sincere; Goddess Durga
Girl/Female
Hindu, Indian
A Bud
Boy/Male
Hindu
Lord Venkateshwara, Residence of Goddess of wealth, Abode of wealth
Boy/Male
Muslim
Servant of the Firm. Strong.
Girl/Female
German, Swedish
Counsellor in Battle
Boy/Male
American, Australian, Bengali, Christian, Gaelic, Indian, Irish
The Descendant of a King; Little King
Girl/Female
Indian
Pretty Girl
Girl/Female
Arabic
Olfactory
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