Article Lambda Calculus

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Simply typed lambda calculus - The simply typed lambda calculus (\lambda^\to) is a typed lambda calculus whose only connective is \to (function type). This makes it the canonical, and in many ways simplest, example of a typed lambda calculus.

Typed lambda calculus - A typed lambda calculus is a typed formalism which uses the lambda-symbol (\lambda) to denote anonymous function abstraction. Typed lambda calculi are foundational programming languages and are the base of typed functional programming languages such as ML and Haskell, they are closely related to ...

Knights of the Lambda Calculus - The Knights of the Lambda Calculus is a semi-fictional organization of expert LISP and Scheme hackers. The name refers to the lambda calculus, a mathematical formalism invented by Alonzo Church, with which LISP is intimately connected, and references the Knights Templar.

Lambda calculus - In computer science, the lambda calculus is a formal system designed to investigate function definition, function application, and recursion. It was introduced by Alonzo Church and Stephen Cole Kleene in the 1930s; Church used the lambda calculus in 1936 to give a negative answer to the Entscheidungsproblem.


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A Curry-Howard Foundation for Functional Computation with Control (1997) - Article by C.-H. L. Ong and C. A. Stewart which presents a call-by-name variant of Parigot's lambda-mu calculus. The calculus is proposed as a foundation for first-class continuations and statically scoped exceptions in functional programming languages.

A Semantic View of Classical Proofs (1996) - Article by C.-H. Luke Ong presenting the semantics of classical proof theory from three prespectives: a formulae-as-types characterisation in a variant of Parigot's lambda-mu calculus, a denotational characterisation in game semantics, and a categorical semantics as a fibred CCC.

Pi-Calculus and Linear Logic (1992) - (CiteSeer) Article by Bellin and Scott showing how classical linear logic may be interpreted in the pi calculus, thus supporting Abramksy's `Proofs as ...

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