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Lambda calculus is Turing complete, that is, it is a universal model of computation that can be used to simulate any Turing machine. [3] Its namesake, the Greek letter lambda (λ), is used in lambda expressions and lambda terms to denote binding a variable in a function.
Alpha-conversion, sometimes known as alpha-renaming, [7] allows bound variable names to be changed. For example, alpha-conversion of . might yield .. Terms that differ only by alpha-conversion are called α-equivalent. Frequently in uses of lambda calculus, α-equivalent terms are considered to be equivalent.
the lambda baryon; a diagonal matrix of eigenvalues in linear algebra; a lattice; molar conductivity in electrochemistry; Iwasawa algebra; represents: one wavelength of electromagnetic radiation; the decay constant in radioactivity; function expressions in the lambda calculus; a general eigenvalue in linear algebra
In the 1930s Alonzo Church sought to use the logistic method: [a] his lambda calculus, as a formal language based on symbolic expressions, consisted of a denumerably infinite series of axioms and variables, [b] but also a finite set of primitive symbols, [c] denoting abstraction and scope, as well as four constants: negation, disjunction, universal quantification, and selection respectively ...
The syntax of the simply typed lambda calculus is essentially that of the lambda calculus itself. ... and the conversion rules ... are defined up to alpha equivalence
System F (also polymorphic lambda calculus or second-order lambda calculus) is a typed lambda calculus that introduces, to simply typed lambda calculus, a mechanism of universal quantification over types. System F formalizes parametric polymorphism in programming languages, thus forming a theoretical basis for languages such as Haskell and ML
The lambda calculus, also written with the Greek letter λ (lambda), is a minimalist symbolic calculation system (calculus). It was introduced by Alonzo Church and Stephen Cole Kleene in the 1930s as part of an investigation into the foundations of mathematics .
Pages in category "Lambda calculus" ... Η-conversion This page was last edited on 25 April 2020, at 19:14 (UTC). Text is available under the Creative ...