lambda calculus

noun

Any of a family of functionally complete algebraic systems in which lambda expressions are evaluated according to a fixed set of rules to produce values, which may themselves be lambda expressions.

Meanings

nounlambda calculus (countable and uncountable, plural lambda calculi)

plural lambda calculi

  1. countableuncountablecomputingAny of a family of functionally complete algebraic systems in which lambda expressions are evaluated according to a fixed set of rules to produce values, which may themselves be lambda expressions.
    1 more example

    In the 1930s, while Turing was developing what are now called ‘Turing machines’ as a model for computation, Church and his student Kleene were developing a different model, called the ‘lambda calculus’ [29, 63]. While a Turing machine can be seen as an idealized, simplified model of computer hardware, the lambda calculus is more like a simple model of software.

    2009 February 3, John C. Baez with Mike Stay, “Physics, Topology, Logic and Computation: A Rosetta Stone”, in (Please provide the book title or journal name), page 50

Origin

Coined by Alonzo Church after the use of the Greek letter lambda (λ) as the basic abstraction operator in the calculus.

Full word history & related roots →

Translations

Catalan càlcul lambda
  • càlcul lambdaalgebraic system
Czech lambda kalkul
  • lambda kalkulalgebraic system
Finnish lambdakalkyyli
  • lambdakalkyylialgebraic system
German Lambda-Kalkül
  • Lambda-Kalkülalgebraic system
Greek λογισμός λάμδα
  • λογισμός λάμδα (logismós lámda)algebraic system
Icelandic lambda-reikningur
  • lambda-reikninguralgebraic system
Italian calcolo lambda
  • calcolo lambdaalgebraic system
Japanese λ計算, ラムダ計算
  • λ計算algebraic system
  • ラムダ計算 (ramuda keisan)algebraic system
Polish rachunek lambda
  • rachunek lambdaalgebraic system
Romanian calcul lambda
  • calcul lambdaalgebraic system
Russian лямбда-исчисление
  • лямбда-исчисление (ljambda-isčislenije)algebraic system
Swedish lambdakalkyl
  • lambdakalkylalgebraic system
Cite this entry
APA

lambda calculus. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/lambda%20calculus

MLA

“lambda calculus.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/lambda%20calculus. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “lambda calculus,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/lambda%20calculus.

Source: lambda calculus on Wiktionary, CC BY-SA 4.0.