Changes between Version 1 and Version 2 of Commentary/Compiler/TypeChecker
 Timestamp:
 Jul 15, 2011 7:32:05 AM (6 years ago)
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Commentary/Compiler/TypeChecker
v1 v2 45 45 === Type Representation === 46 46 47 The representation of types is fixed in the module [[GhcModule(compiler/typecheck/TcRep.lhs)]] and exported as the data type `Type`. As explained in [[GhcModule(compiler/typecheck/TcType.lhs)]], GHC supports rankN types, but, in the type checker, maintains the restriction that type variables cannot be instantiated to quantified types (i.e., the type system is predicative). The type checker floats universal quantifiers outside and maintains types in prenex form. (However, quantifiers can, of course, not float out of negative positions.) Overall, we have 48 {{{ 49 sigma > forall tyvars. phi 50 phi > theta => rho 51 rho > sigma > rho 52  tau 53 tau > tyvar 54  tycon tau_1 .. tau_n 55  tau_1 tau_2 56  tau_1 > tau_2 57 }}} 47 The representation of types is fixed in the module [[GhcModule(compiler/types/TypeRep.lhs)]] and exported as the data type `Type`. Read the comments in the `TypeRep` module! A couple of points: 58 48 59 where `sigma` is in prenex form; i.e., there is never a forall to the right of an arrow in a `phi` type. Moreover, a type of the form `tau` never contains a quantifier (which includes arguments to type constructors).49 * Type synonym applications are represented as a `TyConApp` with a `TyCon` that contains the expansion. The expansion is done ondemand by `Type.coreView` and `Type.tcView`. Unexpanded type synonyms are useful for generating comprehensible error messages. 60 50 61 Of particular interest are the variants `SourceTy` and `NoteTy` of [[GhcModule(compiler/typecheck/TypeRep.lhs)]].Type. The constructor `SourceTy :: SourceType > Type` represents a type constraint; that is, a predicate over types represented by a dictionary. The type checker treats a `SourceTy` as opaque, but during the translation to core it will be expanded into its concrete representation (i.e., a dictionary type) by the function `[[GhcModule(compiler/types/Type.lhs])).sourceTypeRep`. Note that newtypes are not covered by `SourceTypes` anymore, even if some comments in GHC still suggest this. Instead, all newtype applications are initially represented as a `NewTcApp`, until they are eliminated by calls to `[[GhcModule(compiler/types/Type.lhs])).newTypeRep`.51 * The `PredTy` constructor wraps a type constraint argument (dictionary, implicit parameter, or equality). They are expanded ondemand by `coreView`, but not by `tcView`. 62 52 63 The `NoteTy` constructor is used to add nonessential information to a type term. Such information has the type `TypeRep.TyNote` and is either the set of free type variables of the annotated expression or the unexpanded version of a type synonym. Free variables sets are cached as notes to save the overhead of repeatedly computing the same set for a given term. Unexpanded type synonyms are useful for generating comprehensible error messages, but have no influence on the process of type checking. 53 As explained in [[GhcModule(compiler/typecheck/TcType.lhs)]], GHC supports rankN types, but during type inference maintains the restriction that type variables cannot be instantiated to quantified types (i.e., the type system is predicative). However the type system of Core is fully impredicative. 54 64 55 65 56 === Type Checking Environment ===