a formal system of computation built from function application

The lambda calculus, developed in the 1930s by Alonzo Church, is a formal system of computation built from function application.

a minimal programming language that only uses function definitions and function applications

The Lambda calculus, developed by Alonzo Church is a minimal programming language that uses only function definitions and function applications.

a formal system in mathematical logic

People who have been formally trained in computer science will of course know of the lambda calculus, introduced by Alonso Church in the nineteen thirties; the lambda calculus is a formal system in mathematical logic based on function abstraction and application.

a system of functional programming

The lambda calculus is a system of functional programming.

a model of computation using lambda terms

Lambda calculus is a model of computation using lambda terms.

an idealised version of a functional programming language

The lambda calculus may be seen as an idealised version of a functional programming language, like Haskell or Standard ML.

a way of studying computable func­tions

lambda calculus Invented by Alonzo Church in the 1930s, the lambda calculus is a way of studying computable func­tions.

a universal model of computation based on function application

Lambda calculus is a universal model of computation based on function application.

lambda expressions and the corresponding formal language for function application

Despite their unusual etymology, lambda expressions and the corresponding formal language for function application, the lambda calculus, are fundamental computer science concepts shared far beyond the Python programming community.

a model of functional computation

These two models are both equally powerful, but quite different in their formulation—the Lambda calculus is a model of functional computation, while the Turing Machine models stateful computation.

a branch of logic and mathematics that deals with functions

Lambda calculus is basically a branch of logic and mathematics that deals with functions, and is the basis of functional programming languages.

framework developed by Alonzo Church to study computations with functions

Lambda calculus is a framework developed by Alonzo Church to study computations with functions.

a minimal programming language that uses only function definitions and function applications.[19][20] Scheme,[21][22]

The Lambda calculus, developed by Alonzo Church is a minimal programming language that uses only function definitions and function applications.[19][20] Scheme,[21][22]

a formal mathematical system for the notation and analysis of mathematical algorithms

The lambda calculus (or λ-calculus) is a formal mathematical system for the notation and analysis of mathematical algorithms.

important foundations in the study of mathematics, logic, and computer programming language

Lambda calculus, and the closely related theories of combinators and type systems, are important foundations in the study of mathematics, logic, and computer programming language.

an ideal theoretical foundation for Computer Science

In brief, lambda calculus is an ideal theoretical foundation for Computer Science.

its roots in” lambda calculus”, a formal system in mathematical logic, first formulated by Alonzo Church in the 1930s (https://secure.wikimedia.org/wikipedia/en/wiki/ Lambda_calculus)

It has its roots in” lambda calculus”, a formal system in mathematical logic, first formulated by Alonzo Church in the 1930s (https://secure.wikimedia.org/wikipedia/en/wiki/ Lambda_calculus).

computationally equivalent in power to many other plausible models for computation

Lambda calculus is known to be computationally equivalent in power to many other plausible models for computation (including Turing machines); that is, any calculation that can be accomplished in any of these other models can be expressed in lambda calculus, and vice versa.

the fixed-point operator

lambda calculus’s the fixed-point operator which is used for recursion.

developed by Alonzo Church and Stephen Kleene in the 1930s to express all computable�functions.ï¿&frac12

Lambda calculus, considered to be the mathematical basis for programming language, is a calculus developed by Alonzo Church and Stephen Kleene in the 1930s to express all computable�functions.� In an effort to formalize the concept of computability (also known as constructibility and effective calculability), Church and Kleene developed a powerful language with a simple� syntax and few grammar restrictions.