Data types | Program analysis | Type theory

Typing rule

In type theory, a typing rule is an inference rule that describes how a type system assigns a type to a syntactic construction. These rules may be applied by the type system to determine if a program is well-typed and what type expressions have. A prototypical example of the use of typing rules is in defining type inference in the simply typed lambda calculus, which is the internal language of Cartesian closed categories. (Wikipedia).

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Related pages

Decidability (logic) | Parametric polymorphism | Simply typed lambda calculus | Type theory | Curry–Howard correspondence | Hindley–Milner type system | Natural deduction | Type inference | Boolean data type | Type system | Relation (mathematics) | Sequent calculus | Type checking | Variable (computer science) | Judgment (mathematical logic)