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1940. Lambda calculus consists of constructing lambda terms and performing reduction operations on them. In the simplest form of lambda calculus, terms...

programming term rewriting strategies. In the context of the lambda calculus, normal-order reduction refers to leftmost-outermost reduction in the sense given...

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

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 nor...

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

comes from the lambda calculus, where normal order reduction will find a normal form if there is one (it is a "normalizing" reduction strategy). Lazy evaluation...

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

presents two encodings of the lambda-calculus in the π-calculus. One encoding simulates the eager (call-by-value) evaluation strategy, the other encoding simulates...

(mathematics) Reduction (mathematics), the rewriting of an expression into a simpler form Beta reduction, the rewriting of an expression from lambda calculus into...

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...

concepts related to lambda calculus, namely head reduction and call by name. A redex (one says also β-redex) is a term of the lambda calculus of the form (λ...

{\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...

lambda calculus for deduction, as the eta reduction used in lambda lifting is the step that introduces cardinality problems into the lambda calculus,...

{\displaystyle \lambda {\widehat {\rho }}} calculus -- a calculus that uses explicit substitution -- with a left-to-right applicative-order reduction strategy, and...

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

\mathbf {H} (\Lambda )={\begin{bmatrix}{\dfrac {\partial ^{2}\Lambda }{\partial \lambda ^{2}}}&{\dfrac {\partial ^{2}\Lambda }{\partial \lambda \partial \mathbf...

correspondence between the λ ρ ^ {\displaystyle \lambda {\widehat {\rho }}} calculus with a normal-order reduction strategy and the Krivine machine. Also using Agda...

In lambda calculus for instance, the expression (λx.xx)(λx.xx) does not have a normal form because there exists an infinite sequence of β-reductions (λx...

evaluation is the evaluation strategy employed in most[quantify] programming languages. Lazy evaluation was introduced for lambda calculus by Christopher Wadsworth...

unsolved problems Reduction (complexity) Unknowability Wells, J. B. (1993). "Typability and type checking in the second-order lambda-calculus are equivalent...