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is the mathematical dual to structural induction.[citation needed] Coinductively defined data types are known as codata and are typically infinite data...

A coinductive data definition is one that specifies the operations that may be performed on a piece of data; typically, self-referential coinductive definitions...

can be stated more formally in category theory: the anamorphism of a coinductive type denotes the assignment of a coalgebra to its unique morphism to...

programming, a stream is a potentially infinite analog of a list, given by the coinductive definition: data Stream α = Nil | Cons α (Stream α) Generating and computing...

greatest fixed point and terminal F-coalgebra, with applications to coinductive types. These can be used for allowing potentially infinite objects while...

transition systems, abstract machines that model computation. It is defined coinductively and generalizes the idea of bisimulations. A bisimulation matches up...

publishers of the CODATA recommended values of physical constants Coinductively defined data types in computer science CoData (company), a former computer...

of types that is intimately related to the concept of inductive and coinductive types. Specifically, all W-types (resp. M-types) are (isomorphic to)...

structure—each time we recurse. The declaration may also be interpreted in a coinductive way, which may be denoted as: codata CoNat = Zero | Succ CoNat CoNat...

1007/978-3-319-10542-0. ISBN 978-3-319-10541-3. Retrieved Mar 13, 2024. Xavier Leroy. "Coinductive big-step operational semantics". Gilles Kahn. "Natural Semantics". Proceedings...

inductive data type, an apomorphism models primitive corecursion over a coinductive data type. The term "apomorphism" was introduced in Functional Programming...

normalizing Charity programming language (i.e. each program terminates in it), coinductive data types can be used to achieve surprising results, enabling the definition...

(propositional equality). M-types are dual to W-types, and represent coinductive (potentially infinite) data such as streams. M-types can be derived from...

the type of well-founded trees. Later work in type theory generated coinductive types, induction-recursion, and induction-induction for working on types...

static and dynamic objects), public/protected/private object predicates, coinductive predicates, separation between interface and implementation, simple and...

Lambda-Calculus: Programming and Reasoning with Guarded Recursion for Coinductive Types". Logical Methods in Computer Science. 12 (3): 36. arXiv:1606.09455...

constructors, coalgebraic specification is concerned with behaviour modelled by coinductive process types that are observable by selectors, much in the spirit of...

The technology has been put to commercial use. His group discovered coinductive logic programming (coLP), which subsequently led to s(CASP), a logic...

Computer Science 22(1):201-251, 2012. Farhad Arbab and Jan Rutten: A Coinductive Calculus of Component Connectors. In Martin Wirsing, Dirk Pattinson,...

1016/S0304-3975(97)00039-X. Dagnino, Francesco (2020). "Coaxioms: flexible coinductive definitions by inference systems". Logical Methods in Computer Science...

supports λ-tree syntax, it is possible to use it to reason inductively and coinductively on syntactic objects containing binding. This prover has successfully...

{\displaystyle U} . The set of λ-terms with ⊥ (abbreviated λ⊥-terms) is defined coinductively by the grammar M = ⊥ ∣ x ∣ ( λ x . M ) ∣ ( M M ) {\displaystyle M=\bot...