Combinatory logic information

Combinatory logic is a notation to eliminate the need for quantified variables in mathematical logic. It was introduced by Moses Schönfinkel and Haskell...

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...

American mathematician and logician. Curry is best known for his work in combinatory logic, whose initial concept is based on a paper by Moses Schönfinkel, for...

combinator. Hence combinatory logic goes beyond first-order logic by having the expressive power of set theory, which makes combinatory logic vulnerable to...

functional programming languages. An equivalent theoretical formulation, combinatory logic, was developed by Moses Schönfinkel and Haskell Curry in the 1920s...

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...

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

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...

formal systems are related to lambda calculus: Combinatory logic – A notation for mathematical logic without variables SKI combinator calculus – A computational...

respects include: Combinatory logic, having the expressive power of set theory; Relation algebra, arguably the paradigmatic algebraic logic, can express Peano...

memoization on a class webpage. Memoization in Combinatory Logic – A web service to reduce Combinatory Logic while memoizing every step in a database. MbCache...

Intuitionistic type theory BHK interpretation Curry–Howard correspondence Linear logic Game semantics Typed lambda calculus Typed and untyped languages Type signature...

combinator Y has normal form in combinatory logic but not in λ {\displaystyle \lambda } -calculus). Combinatory logic was developed with great ambitions:...

recreational introduction to the subject of combinatory logic. Apart from writing about and teaching logic, Smullyan released a recording of his favorite...

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...

(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...

proof theory, especially intuitionistic logic. Formal calculi such as the lambda calculus and combinatory logic are now studied as idealized programming...

typed lambda calculus representations of the basic combinators of combinatory logic. Each type τ {\displaystyle \tau } is assigned an order, a number...

combinator Y has normal form in combinatory logic but not in λ {\displaystyle \lambda } -calculus). Combinatory logic was developed with great ambitions:...

desired function and the low-level programmer might specify this using combinatory logic. This research also led to ways to making conventional, PC-based,...

programming and its foundational disciplines, lambda calculus and combinatory logic. Terminology varies between languages; some computer languages such...