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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 mathematical logic, the de Bruijn index is a tool invented by the Dutch mathematician Nicolaas Govert de Bruijn for representing terms of lambda calculus without naming the bound variables. [1] Terms written using these indices are invariant with respect to α-conversion , so the check for α-equivalence is the same as that for syntactic ...
In the lambda calculus, a beta redex is a term of the form: [3] [4] (.). A redex is in head position in a term , if has the following shape (note that application has higher priority than abstraction, and that the formula below is meant to be a lambda-abstraction, not an application):
Toggle Rules for conversion between lambda calculus and let expressions subsection. 5.1 Conversion from lambda to let expressions. ... Alpha renaming may be applied ...
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 ...
Quantity (common name/s) (Common) symbol/s Defining equation SI units Dimension Number of atoms N = Number of atoms remaining at time t. N 0 = Initial number of atoms at time t = 0