A typed lambda calculus is a typed formalism that uses the lambda-symbol ( λ {\displaystyle \lambda } ) to denote anonymous function abstraction. In this...
6 KB (738 words) - 04:33, 27 July 2024
simply typed lambda calculus ( λ → {\displaystyle \lambda ^{\to }} ), a form of type theory, is a typed interpretation of the lambda calculus with only...
33 KB (4,587 words) - 10:39, 14 August 2024
cube: Typed lambda calculus – Lambda calculus with typed variables (and functions) System F – A typed lambda calculus with type-variables Calculus of constructions...
86 KB (11,552 words) - 12:44, 14 August 2024
System F (redirect from Second order lambda calculus)
polymorphic lambda calculus or second-order lambda calculus) is a typed lambda calculus that introduces, to simply typed lambda calculus, a mechanism...
18 KB (2,531 words) - 11:58, 10 August 2024
{\displaystyle \mathbb {N} \to \mathbb {R} } in typed lambda calculus. For a more concrete example, taking A to be the type of unsigned integers from 0 to 255 (the...
25 KB (2,442 words) - 20:17, 28 May 2024
the predicative calculus of inductive constructions (which removes some impredicativity). The CoC is a higher-order typed lambda calculus, initially developed...
9 KB (1,344 words) - 21:04, 30 May 2024
\;\vdash \;\lambda x.t:\sigma \to \tau }}} In System F (also named λ2 for the "second-order typed lambda calculus") there is another type of abstraction...
20 KB (3,102 words) - 05:02, 1 February 2024
systems of typed lambda calculus including the simply typed lambda calculus, Jean-Yves Girard's System F, and Thierry Coquand's calculus of constructions...
10 KB (1,285 words) - 20:59, 27 April 2024
Curry–Howard correspondence (redirect from Formulae-as-types correspondence)
deduction and typed combinatory logic, Howard made explicit in 1969 a syntactic analogy between the programs of simply typed lambda calculus and the proofs...
56 KB (6,172 words) - 12:00, 13 July 2024
theory and type theory, a pure type system (PTS), previously known as a generalized type system (GTS), is a form of typed lambda calculus that allows...
9 KB (1,166 words) - 16:41, 11 November 2023