Agda-2.5.1: A dependently typed functional programming language and proof assistant

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LanguageHaskell98

Agda.TypeChecking.Rules.Term

Contents

Synopsis

Types

isType :: Expr -> Sort -> TCM Type Source

Check that an expression is a type.

isType_ :: Expr -> TCM Type Source

Check that an expression is a type without knowing the sort.

ptsRule :: (LensSort a, LensSort b) => a -> b -> TCM Sort Source

noFunctionsIntoSize :: Type -> Type -> TCM () Source

Ensure that a (freshly created) function type does not inhabit SizeUniv. Precondition: When noFunctionsIntoSize t tBlame is called, we are in the context of tBlame in order to print it correctly. Not being in context of t should not matter, as we are only checking whether its sort reduces to SizeUniv.

isTypeEqualTo :: Expr -> Type -> TCM Type Source

Check that an expression is a type which is equal to a given type.

Telescopes

checkTelescope :: Telescope -> (Telescope -> TCM a) -> TCM a Source

Type check a (module) telescope. Binds the variables defined by the telescope.

checkPiTelescope :: Telescope -> (Telescope -> TCM a) -> TCM a Source

Type check the telescope of a dependent function type. Binds the resurrected variables defined by the telescope. The returned telescope is unmodified (not resurrected).

data LamOrPi Source

Flag to control resurrection on domains.

Constructors

LamNotPi

We are checking a module telescope. We pass into the type world to check the domain type. This resurrects the whole context.

PiNotLam

We are checking a telescope in a Pi-type. We stay in the term world, but add resurrected domains to the context to check the remaining domains and codomain of the Pi-type.

checkTelescope' :: LamOrPi -> Telescope -> (Telescope -> TCM a) -> TCM a Source

Type check a telescope. Binds the variables defined by the telescope.

checkTypedBindings :: LamOrPi -> TypedBindings -> (Telescope -> TCM a) -> TCM a Source

Check a typed binding and extends the context with the bound variables. The telescope passed to the continuation is valid in the original context.

Parametrized by a flag wether we check a typed lambda or a Pi. This flag is needed for irrelevance.

Lambda abstractions

checkLambda :: Arg TypedBinding -> Expr -> Type -> TCM Term Source

Type check a lambda expression.

checkPostponedLambda :: Arg ([WithHiding Name], Maybe Type) -> Expr -> Type -> TCM Term Source

Checking a lambda whose domain type has already been checked.

insertHiddenLambdas Source

Arguments

:: Hiding

Expected hiding.

-> Type

Expected to be a function type.

-> (MetaId -> Type -> TCM Term)

Continuation on blocked type.

-> (Type -> TCM Term)

Continuation when expected hiding found. The continuation may assume that the Type is of the form (El _ (Pi _ _)).

-> TCM Term

Term with hidden lambda inserted.

Insert hidden lambda until the hiding info of the domain type matches the expected hiding info. Throws WrongHidingInLambda

checkAbsurdLambda :: ExprInfo -> Hiding -> Expr -> Type -> TCM Term Source

checkAbsurdLambda i h e t checks absurd lambda against type t. Precondition: e = AbsurdLam i h

checkExtendedLambda :: ExprInfo -> DefInfo -> QName -> [Clause] -> Expr -> Type -> TCM Term Source

checkExtendedLambda i di qname cs e t check pattern matching lambda. Precondition: e = ExtendedLam i di qname cs

catchIlltypedPatternBlockedOnMeta :: TCM () -> TCM (Maybe (TCErr, MetaId)) Source

Run a computation.

  • If successful, return Nothing.
  • If IlltypedPattern p a is thrown and type a is blocked on some meta x return Just x. Note that the returned meta might only exists in the state where the error was thrown, thus, be an invalid MetaId in the current state.
  • If another error was thrown or the type a is not blocked, reraise the error.

Records

checkRecordExpression :: RecordAssigns -> Expr -> Type -> TCM Term Source

checkRecordExpression fs e t checks record construction against type t. Precondition e = Rec _ fs.

checkRecordUpdate :: ExprInfo -> Expr -> Assigns -> Expr -> Type -> TCM Term Source

checkRecordUpdate ei recexpr fs e t Precondition e = RecUpdate ei recexpr fs.

Literal

Terms

checkArguments' :: ExpandHidden -> Range -> [NamedArg Expr] -> Type -> Type -> (Args -> Type -> TCM Term) -> TCM Term Source

checkArguments' exph r args t0 t k tries checkArguments exph args t0 t. If it succeeds, it continues k with the returned results. If it fails, it registers a postponed typechecking problem and returns the resulting new meta variable.

Checks e := ((_ : t0) args) : t.

checkExpr :: Expr -> Type -> TCM Term Source

Type check an expression.

checkApplication :: Expr -> Args -> Expr -> Type -> TCM Term Source

checkApplication hd args e t checks an application. Precondition: Application hs args = appView e

checkApplication disambiguates constructors (and continues to checkConstructorApplication) and resolves pattern synonyms.

unquoteM :: Expr -> Term -> Type -> TCM Term -> TCM Term Source

Unquote a TCM computation in a given hole.

domainFree :: ArgInfo -> Name -> LamBinding Source

Turn a domain-free binding (e.g. lambda) into a domain-full one, by inserting an underscore for the missing type.

Meta variables

checkOrInferMeta :: (Type -> TCM Term) -> Maybe Type -> MetaInfo -> TCM (Term, Type) Source

Type check a meta variable. If its type is not given, we return its type, or a fresh one, if it is a new meta. If its type is given, we check that the meta has this type, and we return the same type.

Applications

inferHead :: Expr -> TCM (Args -> Term, Type) Source

Infer the type of a head thing (variable, function symbol, or constructor). We return a function that applies the head to arguments. This is because in case of a constructor we want to drop the parameters.

checkConstructorApplication :: Expr -> Type -> ConHead -> [NamedArg Expr] -> TCM Term Source

Check the type of a constructor application. This is easier than a general application since the implicit arguments can be inserted without looking at the arguments to the constructor.

checkHeadApplication :: Expr -> Type -> Expr -> [NamedArg Expr] -> TCM Term Source

checkHeadApplication e t hd args checks that e has type t, assuming that e has the form hd args. The corresponding type-checked term is returned.

If the head term hd is a coinductive constructor, then a top-level definition fresh tel = hd args (where the clause is delayed) is added, where tel corresponds to the current telescope. The returned term is fresh tel.

Precondition: The head hd has to be unambiguous, and there should not be any need to insert hidden lambdas.

checkArguments :: ExpandHidden -> Range -> [NamedArg Expr] -> Type -> Type -> ExceptT (Args, [NamedArg Expr], Type) TCM (Args, Type) Source

Check a list of arguments: checkArgs args t0 t1 checks that t0 = Delta -> t0' and args : Delta. Inserts hidden arguments to make this happen. Returns the evaluated arguments vs, the remaining type t0' (which should be a subtype of t1) and any constraints cs that have to be solved for everything to be well-formed.

checkArguments_ Source

Arguments

:: ExpandHidden

Eagerly insert trailing hidden arguments?

-> Range

Range of application.

-> [NamedArg Expr]

Arguments to check.

-> Telescope

Telescope to check arguments against.

-> TCM (Args, Telescope)

Checked arguments and remaining telescope if successful.

Check that a list of arguments fits a telescope. Inserts hidden arguments as necessary. Returns the type-checked arguments and the remaining telescope.

inferExpr :: Expr -> TCM (Term, Type) Source

Infer the type of an expression. Implemented by checking against a meta variable. Except for neutrals, for them a polymorphic type is inferred.

checkDontExpandLast :: Expr -> Type -> TCM Term Source

Used to check aliases f = e. Switches off ExpandLast for the checking of top-level application.

isModuleFreeVar :: Int -> TCM Bool Source

Check whether a de Bruijn index is bound by a module telescope.

inferExprForWith :: Expr -> TCM (Term, Type) Source

Infer the type of an expression, and if it is of the form {tel} -> D vs for some datatype D then insert the hidden arguments. Otherwise, leave the type polymorphic.

Let bindings