What does lambda calculus mean?
Definitions for lambda calculus
lamb·da cal·cu·lus
This dictionary definitions page includes all the possible meanings, example usage and translations of the word lambda calculus.
Wiktionary
lambda calculusnoun
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.
Etymology: Coined by Alonzo Church after the use of the Greek letter lambda (λ) as the basic abstraction operator in the calculus.
Wikidata
Lambda calculus
Lambda calculus is a formal system in mathematical logic and computer science for expressing computation by way of variable binding and substitution. First formulated by Alonzo Church, lambda calculus found early successes in the area of computability theory, such as a negative answer to Hilbert's Entscheidungsproblem. Because of the importance of the notion of variable binding and substitution, there is not just one system of lambda calculus, and in particular there are typed and untyped variants. Historically, the most important system was the untyped lambda calculus, in which function application has no restrictions. In the Church–Turing Thesis, the untyped lambda calculus is claimed to be capable of computing all effectively calculable functions. The typed lambda calculus is a variety that restricts function application, so that functions can only be applied if they are capable of accepting the given input's "type" of data. Today, the lambda calculus has applications in many different areas in mathematics, philosophy, linguistics, and computer science. It is still used in the area of computability theory, although Turing machines are also an important model for computation. Lambda calculus has played an important role in the development of the theory of programming languages. Counterparts to lambda calculus in computer science are functional programming languages, which essentially implement the calculus. Beyond programming languages, the lambda calculus also has many applications in proof theory. A major example of this is the Curry–Howard correspondence, which gives a correspondence between different systems of typed lambda calculus and systems of formal logic.
Suggested Resources
lambda calculus
Read the full text of the Lambda Calculus poem by Nobody Nose on the Poetry.com website.
Numerology
Chaldean Numerology
The numerical value of lambda calculus in Chaldean Numerology is: 7
Pythagorean Numerology
The numerical value of lambda calculus in Pythagorean Numerology is: 8
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"lambda calculus." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/lambda+calculus>.
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