In combinatory logic for computer science, a fixed-point combinator (or fixpoint combinator): p.26  is a higher-order function (i.e., a function which...

first-order logic Lawvere's fixed-point theorem Discrete fixed-point theorems Earle-Hamilton fixed-point theorem Fixed-point combinator, which shows that every...

computer science, a fixed-point combinator is a higher-order function f i x {\displaystyle {\mathsf {fix}}} that returns a fixed point of its argument function...

fixed point (lfp or LFP, sometimes also smallest fixed point) of a function from a partially ordered set ("poset" for short) to itself is the fixed point...

interesting combinator is the fixed point combinator or Y combinator, which can be used to implement recursion. S and K can be composed to produce combinators that...

Y combinator may refer to: Y Combinator, an American tech startup accelerator Y combinator (mathematics), a fixed-point combinator This disambiguation...

rec is an extension of the simple let expression which uses the fixed-point combinator to implement recursion. Dana Scott's LCF language was a stage in...

attractor and, with probability 1, form a dense set in the latter. Fixed-point combinator Cobweb plot Markov chain Infinite compositions of analytic functions...

The SKI combinator calculus is a combinatory logic system and a computational system. It can be thought of as a computer programming language, though it...

"Fixed-Point Combinators in JavaScript". Bene Studio. Medium. Retrieved 2 August 2020. "CS 6110 S17 Lecture 5. Recursion and Fixed-Point Combinators"...

{Y}}N)} , where Y {\displaystyle {\textsf {Y}}} denotes Curry's fixed-point combinator. Then X = ( N X ) = ( ( m X ) Z ) {\displaystyle X=(NX)=((mX)Z)}...

or "getting your fix", taking addictive drugs (from the 1960s) Fixed point combinator, in mathematics All pages with titles beginning with Fix All pages...

convenience. (This expression above is simply `Yk, where Y denotes a fixed point combinator.) More built-ins were introduced in Unlambda version 2. Input is...

Phonetic Alphabet letter for a close front rounded vowel Y combinator, a fixed-point combinator in combinatory logic Y, the Bessel function Y, dependent...

expressible in first-order logic with the addition of a suitable least fixed-point combinator. Recursive functions can be defined with this and the order relation...

program, and then solving for a fixed point. Computer programming portal Diagonal lemma Droste effect Fixed point combinator Self-modifying code Self-interpreter...

\lambda } -calculus, but also important differences exist (e.g. fixed point combinator Y has normal form in combinatory logic but not in λ {\displaystyle...

awakening – Vivid and convincing dream about awakening from sleep Fixed point combinator – Higher-order function Y for which Y f = f (Y f)Pages displaying...

semantics, where another least fixed point theorem is used for the same purpose as the first recursion theorem. Fixed-point combinators, which are used in lambda...

abstraction Church–Rosser theorem Extensionality Church numeral Fixed point combinator SKI combinator calculus B, C, K, W system SECD machine Graph reduction...

as g = foldr f v Also, in a lazy language with infinite lists, a fixed point combinator can be implemented via fold, proving that iterations can be reduced...

factorial n = foldl (*) 1 [1..n] -- Point-free style factorial = foldr (*) 1 . enumFromTo 1 Using Haskell's Fixed-point combinator allows this function to be written...

λ is a complex scalar eigenvalue. Eigenvalues and eigenvectors Fixed point combinator Fourier transform eigenfunctions Hilbert–Schmidt theorem Spectral...

Good–Turing frequency estimation Turing completeness Turing degree Turing fixed-point combinator Turing Institute Turing Lecture Turing machine Turing patterns Turing...

\lambda } -calculus, but also important differences exist (e.g. fixed point combinator Y has normal form in combinatory logic but not in λ {\displaystyle...

Statement in mathematical logic Fixed point (mathematics) – Element mapped to itself by a mathematical function Fixed-point combinator – Higher-order function...

available, but can instead be expressed with a fixed point combinator. But unfortunately, the fixpoint combinator cannot be formulated in a typed version of...

7. Larry Wos, William McCune (September 1988). "Searching for Fixed Point Combinators by Using Automated Theorem Proving: A Preliminary Report" (PDF)...

arbitrary collection of base types, product types (tuples) and a fixed point combinator: data Lam :: * -> * where Lift :: a -> Lam a -- ^ lifted value Pair...

function. This anonymous recursion can be produced generically via fixed-point combinators. Anonymous recursion is primarily of use in allowing recursion...