lambda calculus wikipedia - EAS
- The lambda calculus was introduced in 1932–1933 by A. Church (1903-1995) as part of a theory intended as a foundation for mathematics. This foundational theory consisted of a part dealing with logical symbols and rules and a part dealing with algorithms operating on these symbols.encyclopediaofmath.org/wiki/Lambda-calculus
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See all on Wikipediahttps://en.wikipedia.org/wiki/Lambda_calculusLambda calculus (also written as λ-calculus) is a formal system in mathematical logic for expressing computation based on function abstraction and application using variable binding and substitution. It is a universal model of computation that can be used to simulate any Turing machine. It was introduced by the … See more
Lambda calculus is Turing complete, that is, it is a universal model of computation that can be used to simulate any Turing machine. Its namesake, the Greek letter lambda (λ), is used in lambda expressions and lambda terms … See more
Definition
Lambda expressions are composed of:
• variables v1, v2, ...;
• the abstraction symbols λ (lambda) and . (dot);
• parentheses (). See moreFor the untyped lambda calculus, β-reduction as a rewriting rule is neither strongly normalising nor weakly normalising.
However, it can be … See moreThe lambda calculus was introduced by mathematician Alonzo Church in the 1930s as part of an investigation into the foundations of mathematics. The original system was shown … See more
Motivation
Computable functions are a fundamental concept within computer science and mathematics. The lambda calculus provides simple See moreThe meaning of lambda expressions is defined by how expressions can be reduced.
There are three kinds of reduction:
• α … See moreThe basic lambda calculus may be used to model booleans, arithmetic, data structures and recursion, as illustrated in the following sub-sections. See more
Wikipedia text under CC-BY-SA license- https://en.wikipedia.org/wiki/Lambda_calculus_definition
Lambda calculus is a formal mathematical system based on lambda abstraction and function application. Two definitions of the language are given here: a standard definition, and a definition using mathematical formulas.
Wikipedia · Text under CC-BY-SA license- Estimated Reading Time: 7 mins
- https://simple.wikipedia.org/wiki/Lambda_calculus
WebIn mathematical logic and computer science, lambda calculus, also λ-calculus, is a formal system (a system that can be used to figure out different logical theories and ideas). It …
- Estimated Reading Time: 3 mins
- https://en.wikipedia.org/wiki/Simply_typed_lambda_calculus
- The simply typed lambda calculus, a form of type theory, is a typed interpretation of the lambda calculus with only one type constructor that builds function types. It is the canonical and simplest example of a typed lambda calculus. The simply typed lambda calculus was originally introduced by Alonzo Church in 1940 as an attempt to avoid paradoxic...
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- https://brilliant.org/wiki/lambda-calculus
WebThe Lambda calculus is an abstract mathematical theory of computation, involving λ \lambda λ functions. The lambda calculus can be thought of as the theoretical …
- https://en.wikipedia.org/wiki/Typed_lambda_calculus
WebA typed lambda calculus is a typed formalism that uses the lambda-symbol to denote anonymous function abstraction. In this context, types are usually objects of a syntactic …
- https://en.wikipedia.org/wiki/Deductive_lambda_calculus
WebLambda calculus is the model and inspiration for the development of functional programming languages. These languages implement the lambda abstraction, and use it in conjunction …
- https://en.wikipedia.org/wiki/Church_encoding
WebIn mathematics, Church encoding is a means of representing data and operators in the lambda calculus.The Church numerals are a representation of the natural numbers …
- https://en.wikipedia.org/wiki/Lambda-mu_calculus
WebIn mathematical logic and computer science, the lambda-mu calculus is an extension of the lambda calculus introduced by M. Parigot. It introduces two new operators: the μ …
- https://theory.stanford.edu/~blynn/lambda
WebA lambda calculus term consists of: Variables, which we can think of as leaf nodes holding strings. Applications, which we can think of as internal nodes. Lambda abstractions, …
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