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In mathematical logic, and theoretical computer science, type theory is the study of formal systems that classify expressions or mathematical objects by their types. Roughly speaking, a type plays a similar role to that played by a data type in programming: it specifies what kind of thing an expression is and how it may be used. Type theories are used in…
History, Applications & Science
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| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Type theory | is a | study of formal systems that classify expressions or mathematical objects by their types | 0.90 | text |
| Type theory | is a | active area of research | 0.90 | text |
| Type theory | is a | mathematical logic | 0.90 | text |
| Type theory | is a | notable area of research that mainly deals with equality in type theory.Inductive typesInductive types are a general template for creating a large variety of types | 0.90 | text |
| Type theory | is a | notable area of research that mainly deals with equality in type theory | 0.90 | text |
| Type theory | is a | implementation of homotopy type theory MajorSimply typed lambda calculus which is a higher-order logicIntuitionistic type theorySystem FLF is often used to define other type the… | 0.90 | text |
| Lawvere's Elementary Theory of the Category of Sets | instance of | This led to proposals | 0.80 | text |
| the successor function S | instance of | and functions | 0.80 | text |
| call with current continuation | instance of | These include operators on continuations | 0.80 | text |
| canonicity | instance of | these operators tend to break desirable properties | 0.80 | text |
| parametricity.Curry | instance of | these operators tend to break desirable properties | 0.80 | text |
| parametricity | instance of | these operators tend to break desirable properties | 0.80 | text |
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