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Simply typed lambda calculus - Types | | Simply typed lambda calculus - Types: Encyclopedia II - Simply typed lambda calculus - Types | | The types of the simply typed lambda calculus are constructed from base types (or type variables) and given types σ,τ we can construct . Church used only two base types o for the type of propositions and ι for the type of individuals. Frequently the calculus with only one base type, usually o, is considered.
associates to the right: we read as . To each type σ we assign a ...
See also:Simply typed lambda calculus, Simply typed lambda calculus - Types, Simply typed lambda calculus - Terms, Simply typed lambda calculus - Important results | | | Simply typed lambda calculus, Simply typed lambda calculus - Important results, Simply typed lambda calculus - Terms, Simply typed lambda calculus - Types | | |
| | | Simply typed lambda calculus: Encyclopedia II - Simply typed lambda calculus - Types
Simply typed lambda calculus - Types
The types of the simply typed lambda calculus are constructed from base types (or type variables) and given types σ,τ we can construct . Church used only two base types o for the type of propositions and ι for the type of individuals. Frequently the calculus with only one base type, usually o, is considered.
associates to the right: we read as . To each type σ we assign a number o(σ), the order of σ. For base types we set o(α) = 0 and for function types we define recursively .
Other related archivesAlonzo Church, Cartesian Closed Categories, Curry-Howard isomorphism, Lambek, PCF, System F, combinatory logic, complete, coproducts, decidable, function space, natural numbers, polynomials, products, recursion, sets, strongly normalizing, typed lambda calculus, unification, untyped lambda calculus
 Adapted from the Wikipedia article "Types", under the G.N U Free Docmentation License. Please also see http://en.wikipedia.org/wiki |
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