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

In mathematical logic, the lambda calculus (also written as λ-calculus) is a formal system for expressing computation based on function abstraction and...

From these definitions it can be shown that SKI calculus is not the minimum system that can fully perform the computations of lambda calculus, as all occurrences...

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

The names "lambda abstraction", "lambda function", and "lambda expression" refer to the notation of function abstraction in lambda calculus, where the...

expression. The definition used is extended to cover the substitution of expressions, from the definition given on the Lambda calculus page. The matching...

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

with the same label, for a slightly different labelled lambda calculus. An alternate definition changes the beta rule to an operation that finds the next...

the lambda calculus and in functional programming languages, and provide a means to allow for recursive definitions. In the classical untyped lambda calculus...

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

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...

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

functions have exactly one argument. This property is inherited from lambda calculus, where multi-argument functions are usually represented in curried...

the concepts of lambda calculus. λ indicates an eigenvalue in the mathematics of linear algebra. In the physics of particles, lambda indicates the thermal...

2023). "Functional Bits: Lambda Calculus based Algorithmic Information Theory" (PDF). tromp.github.io. John's Lambda Calculus and Combinatory Logic Playground...

The calculus of variations (or variational calculus) is a field of mathematical analysis that uses variations, which are small changes in functions and...

mathematician Nicolaas Govert de Bruijn for representing terms of lambda calculus without naming the bound variables. Terms written using these indices...

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...

name of type in typed lambda calculus. Most kinds of typed lambda calculi can define fewer functions than untyped lambda calculus. History of the function...

time-scale calculus is a unification of the theory of difference equations with that of differential equations, unifying integral and differential calculus with...

used to be called the absolute differential calculus (the foundation of tensor calculus), tensor calculus or tensor analysis developed by Gregorio Ricci-Curbastro...

propositional calculus, Ricci calculus, calculus of variations, lambda calculus, sequent calculus, and process calculus. Furthermore, the term "calculus" has variously...

applications of fractional calculus expanded greatly over the 19th and 20th centuries, and numerous contributors have given different definitions for fractional derivatives...

constructs varies by author and desired use for the calculus, but the following constructs are typical: Lambdas λx.M are computations of type A → B _ {\displaystyle...

of programming, in that their internal language is the simply typed lambda calculus. They are generalized by closed monoidal categories, whose internal...

In mathematics, matrix calculus is a specialized notation for doing multivariable calculus, especially over spaces of matrices. It collects the various...

Interaction nets are at the heart of many implementations of the lambda calculus, such as efficient closed reduction and optimal, in Lévy's sense, Lambdascope...

Hindley–Milner (HM) type system is a classical type system for the lambda calculus with parametric polymorphism. It is also known as Damas–Milner or...

The icosian calculus is a non-commutative algebraic structure discovered by the Irish mathematician William Rowan Hamilton in 1856. In modern terms, he...

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