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Church–Rosser theorem and Lambda calculus

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Church–Rosser theorem and Lambda calculus

Church–Rosser theorem vs. Lambda calculus

In mathematics and theoretical computer science, the Church–Rosser theorem states that, when applying reduction rules to terms in the lambda calculus, the ordering in which the reductions are chosen does not make a difference to the eventual result. Lambda calculus (also written as λ-calculus) is a formal system in mathematical logic for expressing computation based on function abstraction and application using variable binding and substitution.

Similarities between Church–Rosser theorem and Lambda calculus

Church–Rosser theorem and Lambda calculus have 10 things in common (in Unionpedia): Alonzo Church, Beta normal form, Confluence (abstract rewriting), Eager evaluation, J. Barkley Rosser, Lambda calculus, Lazy evaluation, Mathematics, Simply typed lambda calculus, Type system.

Alonzo Church

Alonzo Church (June 14, 1903 – August 11, 1995) was an American mathematician and logician who made major contributions to mathematical logic and the foundations of theoretical computer science.

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Beta normal form

In the lambda calculus, a term is in beta normal form if no beta reduction is possible.

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Confluence (abstract rewriting)

In computer science, confluence is a property of rewriting systems, describing which terms in such a system can be rewritten in more than one way, to yield the same result.

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Eager evaluation

In computer programming, eager evaluation, also known as strict evaluation or greedy evaluation, is the evaluation strategy used by most traditional programming languages.

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J. Barkley Rosser

John Barkley Rosser Sr. (December 6, 1907 – September 5, 1989) was an American logician, a student of Alonzo Church, and known for his part in the Church–Rosser theorem, in lambda calculus.

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Lambda calculus

Lambda calculus (also written as λ-calculus) is a formal system in mathematical logic for expressing computation based on function abstraction and application using variable binding and substitution.

Church–Rosser theorem and Lambda calculus · Lambda calculus and Lambda calculus · See more »

Lazy evaluation

In programming language theory, lazy evaluation, or call-by-need is an evaluation strategy which delays the evaluation of an expression until its value is needed (non-strict evaluation) and which also avoids repeated evaluations (sharing).

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Simply typed lambda calculus

The simply typed lambda calculus (\lambda^\to), a form of type theory, is a typed interpretation of the lambda calculus with only one type constructor: \to that builds function types.

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Type system

In programming languages, a type system is a set of rules that assigns a property called type to the various constructs of a computer program, such as variables, expressions, functions or modules.

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The list above answers the following questions

Church–Rosser theorem and Lambda calculus Comparison

Church–Rosser theorem has 16 relations, while Lambda calculus has 158. As they have in common 10, the Jaccard index is 5.75% = 10 / (16 + 158).

References

This article shows the relationship between Church–Rosser theorem and Lambda calculus. To access each article from which the information was extracted, please visit:

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