Lambda calculus (also written as λ-calculus) is a formal system in mathematical logic for expressing computation based on function abstraction and application...

A typed lambda calculus is a typed formalism that uses the lambda-symbol ( λ {\displaystyle \lambda } ) to denote anonymous function abstraction. In this...

Knights of the Lambda Calculus is a semi-fictional organization of expert Lisp and Scheme hackers. The name refers to the lambda calculus, a mathematical...

simply typed lambda calculus ( λ → {\displaystyle \lambda ^{\to }} ), a form of type theory, is a typed interpretation of the lambda calculus with only one...

to computational theory Kappa calculus, a reformulation of the first-order fragment of typed lambda calculus Rho calculus, introduced as a general means...

shares several similarities with lambda calculus, particularly in how it handles functions and data. In lambda calculus, functions are first-class citizens...

polymorphic lambda calculus or second-order lambda calculus) is a typed lambda calculus that introduces, to simply typed lambda calculus, a mechanism...

computation. Combinatory logic can be viewed as a variant of the lambda calculus, in which lambda expressions (representing functional abstraction) are replaced...

Lambda calculus is a formal mathematical system based on lambda abstraction and function application. Two definitions of the language are given here:...

systems of typed lambda calculus including the simply typed lambda calculus, Jean-Yves Girard's System F, and Thierry Coquand's calculus of constructions...

intuitionistic version as a typed variant of the model of computation known as lambda calculus. The Curry–Howard correspondence is the observation that there is an...

In lambda calculus, the Church–Rosser theorem states that, when applying reduction rules to terms, the ordering in which the reductions are chosen does...

the predicative calculus of inductive constructions (which removes some impredicativity). The CoC is a higher-order typed lambda calculus, initially developed...

and algebraic laws, that is, to the algebraic study of data types. Lambda calculus-based languages (such as Lisp, ISWIM, and Scheme) are in actual practice...

representing data and operators in the lambda calculus. The Church numerals are a representation of the natural numbers using lambda notation. The method is named...

extensional. In 1934, Haskell Curry noticed that the types used in typed lambda calculus, and in its combinatory logic counterpart, followed the same pattern...

(also written lambda cube) is a framework introduced by Henk Barendregt to investigate the different dimensions in which the calculus of constructions...

interpretation Curry–Howard correspondence Linear logic Game semantics Typed lambda calculus Typed and untyped languages Type signature Type inference Datatype...

{\displaystyle Y=\lambda f.\ (\lambda x.f\ (x\ x))\ (\lambda x.f\ (x\ x))} (Here we use the standard notations and conventions of lambda calculus: Y is a function...

version of the untyped lambda calculus. It was introduced by Moses Schönfinkel and Haskell Curry. All operations in lambda calculus can be encoded via abstraction...

logic and computer science, lambda is used to introduce anonymous functions expressed with the concepts of lambda calculus. Lambda indicates an eigenvalue...

In the lambda calculus, a term is in beta normal form if no beta reduction is possible. A term is in beta-eta normal form if neither a beta reduction...

basis for lambda calculus, a formal system used in mathematical logic and the theory of programming languages. The equivalence of two lambda expressions...

language and in various logics, including certain forms of set theory, lambda calculus, and combinatory logic. The paradox is named after the logician Haskell...

evaluation of "closed" Lambda expressions in LISP and ISWIM's Lambda Closures. van Tonder, André (1 January 2004). "A Lambda Calculus for Quantum Computation"...

mathematical logic and computer science, the lambda-mu calculus is an extension of the lambda calculus introduced by Michel Parigot. It introduces two...

the lambda calculus and Turing machines are equivalent models of computation, showing that the lambda calculus is Turing complete. Lambda calculus forms...

foundations of theoretical computer science. He is best known for the lambda calculus, the Church–Turing thesis, proving the unsolvability of the Entscheidungsproblem...

an extended Curry–Howard isomorphism between IPC and simply-typed lambda calculus. BHK interpretation Computability logic Constructive analysis Constructive...

system. In the untyped lambda calculus, for example, the term ( λ x . ( x x ) λ x . ( x x ) ) {\displaystyle (\lambda x.(xx)\;\lambda x.(xx))} does not have...