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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 intuitionistic logic via the Curry-Howard isomorphism and they can be considered as the internal language of classes of categories, e.
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.
Pi-Calculus and Linear Logic (1992) - 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 Processes' thesis.
A Curry-Howard Foundation for Functional Computation with Control (1997) - 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 ...
A Semantic View of Classical Proofs (1996) - 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 s
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Algorithm Application Graph Modeling Theory - ... providing a basis for the implementation of some non-strict functional programming languages in software and hardware. The lambda calculus is concerned with objects called lambda-terms, which are strings of symbols of one of the lambda calculus For complete details about the ...
Application Calculus Computation Variation - ... that characterise a logical system. As opposed to the application of the term calculus in such contexts as lambda calculus, it is usually inappropriate to identify a calculus with a particular formal system, since such paradigmatic cases ... the sequent calculus are used to express such radically different consequence relations as intuitionistic logic and relevance logic. Lambda calculus - In computer science, the lambda calculus is a formal system designed to investigate function definition, function ...
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C++ Programming Language - ... languages, carefully spelling out their impacts on language design. Using classical c programming language and recent research from lambda calculus c programming language and type theory, it presents a rational reconstruction of the Algol-like imperative languages ... be built using variations on standard themes. The text is unique in its tutorial presentation of higher-order lambda calculus c programming language and intuitionistic type theory. The latter in particular reveals that a programming language ...
C++ Programming Language - ... languages, carefully spelling out their impacts on language design. Using classical c programming language and recent research from lambda calculus c programming language and type theory, it presents a rational reconstruction of the Algol-like imperative languages ... be built using variations on standard themes. The text is unique in its tutorial presentation of higher-order lambda calculus c programming language and intuitionistic type theory. The latter in particular reveals that a programming language ...
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