Combinatory logic is a notation to eliminate the need for quantified variables in mathematical logic. It was introduced by Moses Schönfinkel and Haskell...
42 KB (5,301 words) - 11:48, 17 July 2025
logician and computer scientist. Curry is best known for his work in combinatory logic, whose initial concept is based on a paper by Moses Schönfinkel, for...
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Curry–Howard correspondence (category Logic in computer science)
with the typed fragment of a standard model of computation known as combinatory logic. In 1969 Howard observes that another, more "high-level" proof system...
58 KB (6,372 words) - 21:54, 30 July 2025
Binary combinatory logic (BCL) is a computer programming language that uses binary terms 0 and 1 to create a complete formulation of combinatory logic using...
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1942 (1943)) was a logician and mathematician, known for the invention of combinatory logic. Moses Schönfinkel was born on (1888-09-29)29 September 1888 in Ekaterinoslav...
11 KB (945 words) - 22:08, 10 March 2025
Curry's paradox (category Mathematical logic)
logics, including certain forms of set theory, lambda calculus, and combinatory logic. The paradox is named after the logician Haskell Curry, who wrote...
15 KB (2,406 words) - 04:27, 24 April 2025
structure grammar (as opposed to a dependency grammar). CCG relies on combinatory logic, which has the same expressive power as the lambda calculus, but builds...
10 KB (1,388 words) - 15:09, 24 June 2025
SKI combinator calculus (category Combinatory logic)
The SKI combinator calculus is a combinatory logic system and a computational system. It can be thought of as a computer programming language, though...
23 KB (3,370 words) - 15:27, 30 July 2025
To Mock a Mockingbird (redirect from To Mock a Mockingbird and Other Logic Puzzles: Including an Amazing Adventure in Combinatory Logic)
To Mock a Mockingbird and Other Logic Puzzles: Including an Amazing Adventure in Combinatory Logic (1985, ISBN 0-19-280142-2) is a book by the mathematician...
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Lambda calculus (section Logic and predicates)
formal systems are related to lambda calculus: Combinatory logic – A notation for mathematical logic without variables SKI combinator calculus – A computational...
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combinator. Hence combinatory logic goes beyond first-order logic by having the expressive power of set theory, which makes combinatory logic vulnerable to...
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B, C, K, W system (category Combinatory logic)
The B, C, K, W system is a variant of combinatory logic that takes as primitive the combinators B, C, K, and W. This system was discovered by Haskell...
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Intuitionistic type theory BHK interpretation Curry–Howard correspondence Linear logic Game semantics Typed lambda calculus Typed and untyped languages Type signature...
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functional programming languages. An equivalent theoretical formulation, combinatory logic, was developed by Moses Schönfinkel and Haskell Curry in the 1920s...
88 KB (8,682 words) - 09:41, 29 July 2025
combinator Y has normal form in combinatory logic but not in λ {\displaystyle \lambda } -calculus). Combinatory logic was developed with great ambitions:...
18 KB (2,168 words) - 14:03, 6 August 2025
Fixed-point combinator (category Combinatory logic)
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...
36 KB (5,182 words) - 16:46, 29 July 2025
(codomain of the) subobject classifier of an elementary topos. In combinatory logic, the looping combinator, (S I I (S I I)) In group theory, the omega...
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typed lambda calculus representations of the basic combinators of combinatory logic. Each type τ {\displaystyle \tau } is assigned an order, a number...
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memoization on a class webpage. Memoization in Combinatory Logic – A web service to reduce Combinatory Logic while memoizing every step in a database. MbCache...
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Raymond Smullyan (section Logic problems)
Puzzles Including An Amazing Adventure in Combinatory Logic. ISBN 0192801422. puzzles based on combinatory logic — (1987). Forever Undecided. ISBN 0192801414...
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function Categorical logic Combinational logic Combinatory logic Conceptual graph Disjunctive syllogism Entitative graph Equational logic Existential graph...
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combinator Y has normal form in combinatory logic but not in λ {\displaystyle \lambda } -calculus). Combinatory logic was developed with great ambitions:...
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functional programming language invented by David Madore. It is based on combinatory logic, an expression system without the lambda operator or free variables...
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proof theory, especially intuitionistic logic. Formal calculi such as the lambda calculus and combinatory logic are now studied as idealized programming...
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structure, whether that structure is definable or not. combinatory logic A branch of mathematical logic that seeks to eliminate the need for variables in mathematical...
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memory model Functional models include: Abstract rewriting systems Combinatory logic General recursive functions Lambda calculus Concurrent models include:...
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algorithm Lambda calculus Church-Rosser theorem Calculus of constructions Combinatory logic Post correspondence problem Kleene's recursion theorem Recursively...
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respects include: Combinatory logic, having the expressive power of set theory; Relation algebra, arguably the paradigmatic algebraic logic, can express Peano...
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they call "the logical rules of Go". He is also known for Binary combinatory logic (Binary lambda calculus) [citation needed] and lambda diagrams that...
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Iota and Jot (category Combinatory logic)
continuing through the continuation w. Lambda calculus Combinatory logic Binary combinatory logic SKI combinator calculus Barker, Chris. "Zot". The Esoteric...
6 KB (692 words) - 02:54, 24 January 2025