Safe Haskell | None |
---|---|
Language | Haskell2010 |
Agda.Syntax.Abstract
Contents
Description
The abstract syntax. This is what you get after desugaring and scope analysis of the concrete syntax. The type checker works on abstract syntax, producing internal syntax (Agda.Syntax.Internal).
- type Args = [NamedArg Expr]
- data Expr
- = Var Name
- | Def QName
- | Proj ProjOrigin AmbiguousQName
- | Con AmbiguousQName
- | PatternSyn QName
- | Macro QName
- | Lit Literal
- | QuestionMark MetaInfo InteractionId
- | Underscore MetaInfo
- | Dot ExprInfo Expr
- | App ExprInfo Expr (NamedArg Expr)
- | WithApp ExprInfo Expr [Expr]
- | Lam ExprInfo LamBinding Expr
- | AbsurdLam ExprInfo Hiding
- | ExtendedLam ExprInfo DefInfo QName [Clause]
- | Pi ExprInfo Telescope Expr
- | Fun ExprInfo (Arg Expr) Expr
- | Set ExprInfo Integer
- | Prop ExprInfo
- | Let ExprInfo [LetBinding] Expr
- | ETel Telescope
- | Rec ExprInfo RecordAssigns
- | RecUpdate ExprInfo Expr Assigns
- | ScopedExpr ScopeInfo Expr
- | QuoteGoal ExprInfo Name Expr
- | QuoteContext ExprInfo
- | Quote ExprInfo
- | QuoteTerm ExprInfo
- | Unquote ExprInfo
- | Tactic ExprInfo Expr [NamedArg Expr] [NamedArg Expr]
- | DontCare Expr
- type Assign = FieldAssignment' Expr
- type Assigns = [Assign]
- type RecordAssign = Either Assign ModuleName
- type RecordAssigns = [RecordAssign]
- data Axiom
- type Ren a = [(a, a)]
- data ScopeCopyInfo = ScopeCopyInfo {
- renModules :: Ren ModuleName
- renNames :: Ren QName
- initCopyInfo :: ScopeCopyInfo
- data Declaration
- = Axiom Axiom DefInfo ArgInfo (Maybe [Occurrence]) QName Expr
- | Field DefInfo QName (Arg Expr)
- | Primitive DefInfo QName Expr
- | Mutual MutualInfo [Declaration]
- | Section ModuleInfo ModuleName [TypedBindings] [Declaration]
- | Apply ModuleInfo ModuleName ModuleApplication ScopeCopyInfo ImportDirective
- | Import ModuleInfo ModuleName ImportDirective
- | Pragma Range Pragma
- | Open ModuleInfo ModuleName ImportDirective
- | FunDef DefInfo QName Delayed [Clause]
- | DataSig DefInfo QName Telescope Expr
- | DataDef DefInfo QName [LamBinding] [Constructor]
- | RecSig DefInfo QName Telescope Expr
- | RecDef DefInfo QName (Maybe (Ranged Induction)) (Maybe Bool) (Maybe QName) [LamBinding] Expr [Declaration]
- | PatternSynDef QName [Arg Name] (Pattern' Void)
- | UnquoteDecl MutualInfo [DefInfo] [QName] Expr
- | UnquoteDef [DefInfo] [QName] Expr
- | ScopedDecl ScopeInfo [Declaration]
- class GetDefInfo a where
- type ImportDirective = ImportDirective' QName ModuleName
- type Renaming = Renaming' QName ModuleName
- type ImportedName = ImportedName' QName ModuleName
- data ModuleApplication
- data Pragma
- = OptionsPragma [String]
- | BuiltinPragma String Expr
- | BuiltinNoDefPragma String QName
- | RewritePragma QName
- | CompiledPragma QName String
- | CompiledExportPragma QName String
- | CompiledDeclareDataPragma QName String
- | CompiledTypePragma QName String
- | CompiledDataPragma QName String [String]
- | CompiledEpicPragma QName String
- | CompiledJSPragma QName String
- | CompiledUHCPragma QName String
- | CompiledDataUHCPragma QName String [String]
- | StaticPragma QName
- | InlinePragma QName
- | DisplayPragma QName [NamedArg Pattern] Expr
- data LetBinding
- type TypeSignature = Declaration
- type Constructor = TypeSignature
- type Field = TypeSignature
- data LamBinding
- data TypedBindings = TypedBindings Range (Arg TypedBinding)
- data TypedBinding
- = TBind Range [WithHiding Name] Expr
- | TLet Range [LetBinding]
- type Telescope = [TypedBindings]
- data NamedDotPattern = NamedDot Name Term Type
- data Clause' lhs = Clause {
- clauseLHS :: lhs
- clauseNamedDots :: [NamedDotPattern]
- clauseRHS :: RHS
- clauseWhereDecls :: [Declaration]
- clauseCatchall :: Bool
- type Clause = Clause' LHS
- type SpineClause = Clause' SpineLHS
- data RHS
- = RHS {
- rhsExpr :: Expr
- rhsConcrete :: Maybe Expr
- | AbsurdRHS
- | WithRHS QName [Expr] [Clause]
- | RewriteRHS {
- rewriteExprs :: [(QName, Expr)]
- rewriteRHS :: RHS
- rewriteWhereDecls :: [Declaration]
- = RHS {
- data SpineLHS = SpineLHS {
- spLhsInfo :: LHSInfo
- spLhsDefName :: QName
- spLhsPats :: [NamedArg Pattern]
- spLhsWithPats :: [Pattern]
- data LHS = LHS {}
- data LHSCore' e
- = LHSHead {
- lhsDefName :: QName
- lhsPats :: [NamedArg (Pattern' e)]
- | LHSProj {
- lhsDestructor :: AmbiguousQName
- lhsFocus :: NamedArg (LHSCore' e)
- lhsPatsRight :: [NamedArg (Pattern' e)]
- = LHSHead {
- type LHSCore = LHSCore' Expr
- class LHSToSpine a b where
- lhsCoreToSpine :: LHSCore' e -> QNamed [NamedArg (Pattern' e)]
- spineToLhsCore :: IsProjP e => QNamed [NamedArg (Pattern' e)] -> LHSCore' e
- lhsCoreApp :: IsProjP e => LHSCore' e -> [NamedArg (Pattern' e)] -> LHSCore' e
- lhsCoreAddSpine :: IsProjP e => LHSCore' e -> [NamedArg (Pattern' e)] -> LHSCore' e
- lhsCoreAllPatterns :: LHSCore' e -> [Pattern' e]
- lhsCoreToPattern :: LHSCore -> Pattern
- mapLHSHead :: (QName -> [NamedArg Pattern] -> LHSCore) -> LHSCore -> LHSCore
- data Pattern' e
- = VarP Name
- | ConP ConPatInfo AmbiguousQName [NamedArg (Pattern' e)]
- | ProjP PatInfo ProjOrigin AmbiguousQName
- | DefP PatInfo AmbiguousQName [NamedArg (Pattern' e)]
- | WildP PatInfo
- | AsP PatInfo Name (Pattern' e)
- | DotP PatInfo Origin e
- | AbsurdP PatInfo
- | LitP Literal
- | PatternSynP PatInfo QName [NamedArg (Pattern' e)]
- | RecP PatInfo [FieldAssignment' (Pattern' e)]
- type Pattern = Pattern' Expr
- type Patterns = [NamedArg Pattern]
- class MaybePostfixProjP a where
- class AllNames a where
- axiomName :: Declaration -> QName
- class AnyAbstract a where
- nameExpr :: AbstractName -> Expr
- app :: Expr -> [NamedArg Expr] -> Expr
- mkLet :: ExprInfo -> [LetBinding] -> Expr -> Expr
- patternToExpr :: Pattern -> Expr
- type PatternSynDefn = ([Arg Name], Pattern' Void)
- type PatternSynDefns = Map QName PatternSynDefn
- lambdaLiftExpr :: [Name] -> Expr -> Expr
- substPattern :: [(Name, Pattern)] -> Pattern -> Pattern
- class SubstExpr a where
- insertImplicitPatSynArgs :: HasRange a => (Range -> a) -> Range -> [Arg Name] -> [NamedArg a] -> Maybe ([(Name, a)], [Arg Name])
- module Agda.Syntax.Abstract.Name
Documentation
Expressions after scope checking (operators parsed, names resolved).
Constructors
Var Name | Bound variable. |
Def QName | Constant: axiom, function, data or record type. |
Proj ProjOrigin AmbiguousQName | Projection (overloaded). |
Con AmbiguousQName | Constructor (overloaded). |
PatternSyn QName | Pattern synonym. |
Macro QName | Macro. |
Lit Literal | Literal. |
QuestionMark MetaInfo InteractionId | Meta variable for interaction.
The |
Underscore MetaInfo | Meta variable for hidden argument (must be inferred locally). |
Dot ExprInfo Expr |
|
App ExprInfo Expr (NamedArg Expr) | Ordinary (binary) application. |
WithApp ExprInfo Expr [Expr] | With application. |
Lam ExprInfo LamBinding Expr |
|
AbsurdLam ExprInfo Hiding |
|
ExtendedLam ExprInfo DefInfo QName [Clause] | |
Pi ExprInfo Telescope Expr | Dependent function space |
Fun ExprInfo (Arg Expr) Expr | Non-dependent function space. |
Set ExprInfo Integer |
|
Prop ExprInfo |
|
Let ExprInfo [LetBinding] Expr |
|
ETel Telescope | Only used when printing telescopes. |
Rec ExprInfo RecordAssigns | Record construction. |
RecUpdate ExprInfo Expr Assigns | Record update. |
ScopedExpr ScopeInfo Expr | Scope annotation. |
QuoteGoal ExprInfo Name Expr | Binds |
QuoteContext ExprInfo | Returns the current context. |
Quote ExprInfo | Quote an identifier |
QuoteTerm ExprInfo | Quote a term. |
Unquote ExprInfo | The splicing construct: unquote ... |
Tactic ExprInfo Expr [NamedArg Expr] [NamedArg Expr] | tactic e x1 .. xn | y1 | .. | yn |
DontCare Expr | For printing |
Instances
type Assign = FieldAssignment' Expr Source #
Record field assignment f = e
.
type RecordAssign = Either Assign ModuleName Source #
type RecordAssigns = [RecordAssign] Source #
Is a type signature a postulate
or a function signature?
data ScopeCopyInfo Source #
Constructors
ScopeCopyInfo | |
Fields
|
data Declaration Source #
Constructors
Axiom Axiom DefInfo ArgInfo (Maybe [Occurrence]) QName Expr | Type signature (can be irrelevant, but not hidden). The fourth argument contains an optional assignment of polarities to arguments. |
Field DefInfo QName (Arg Expr) | record field |
Primitive DefInfo QName Expr | primitive function |
Mutual MutualInfo [Declaration] | a bunch of mutually recursive definitions |
Section ModuleInfo ModuleName [TypedBindings] [Declaration] | |
Apply ModuleInfo ModuleName ModuleApplication ScopeCopyInfo ImportDirective | The |
Import ModuleInfo ModuleName ImportDirective | The |
Pragma Range Pragma | |
Open ModuleInfo ModuleName ImportDirective | only retained for highlighting purposes |
FunDef DefInfo QName Delayed [Clause] | sequence of function clauses |
DataSig DefInfo QName Telescope Expr | lone data signature
^ the |
DataDef DefInfo QName [LamBinding] [Constructor] | the |
RecSig DefInfo QName Telescope Expr | lone record signature |
RecDef DefInfo QName (Maybe (Ranged Induction)) (Maybe Bool) (Maybe QName) [LamBinding] Expr [Declaration] | The |
PatternSynDef QName [Arg Name] (Pattern' Void) | Only for highlighting purposes |
UnquoteDecl MutualInfo [DefInfo] [QName] Expr | |
UnquoteDef [DefInfo] [QName] Expr | |
ScopedDecl ScopeInfo [Declaration] | scope annotation |
Instances
class GetDefInfo a where Source #
Minimal complete definition
Methods
getDefInfo :: a -> Maybe DefInfo Source #
Instances
type ImportedName = ImportedName' QName ModuleName Source #
data ModuleApplication Source #
Constructors
SectionApp Telescope ModuleName [NamedArg Expr] |
|
RecordModuleIFS ModuleName | M {{...}} |
Constructors
OptionsPragma [String] | |
BuiltinPragma String Expr | |
BuiltinNoDefPragma String QName | Builtins that do not come with a definition, but declare a name for an Agda concept. |
RewritePragma QName | |
CompiledPragma QName String | |
CompiledExportPragma QName String | |
CompiledDeclareDataPragma QName String | |
CompiledTypePragma QName String | |
CompiledDataPragma QName String [String] | |
CompiledEpicPragma QName String | |
CompiledJSPragma QName String | |
CompiledUHCPragma QName String | |
CompiledDataUHCPragma QName String [String] | |
StaticPragma QName | |
InlinePragma QName | |
DisplayPragma QName [NamedArg Pattern] Expr |
data LetBinding Source #
Bindings that are valid in a let
.
Constructors
LetBind LetInfo ArgInfo Name Expr Expr | LetBind info rel name type defn |
LetPatBind LetInfo Pattern Expr | Irrefutable pattern binding. |
LetApply ModuleInfo ModuleName ModuleApplication ScopeCopyInfo ImportDirective |
|
LetOpen ModuleInfo ModuleName ImportDirective | only for highlighting and abstractToConcrete |
LetDeclaredVariable Name | Only used for highlighting. Refers to the first occurrence of
|
Instances
type TypeSignature = Declaration Source #
Only Axiom
s.
type Constructor = TypeSignature Source #
type Field = TypeSignature Source #
data LamBinding Source #
A lambda binding is either domain free or typed.
Constructors
DomainFree ArgInfo Name | . |
DomainFull TypedBindings | . |
Instances
data TypedBindings Source #
Typed bindings with hiding information.
Constructors
TypedBindings Range (Arg TypedBinding) | . |
Instances
data TypedBinding Source #
A typed binding. Appears in dependent function spaces, typed lambdas, and
telescopes. It might be tempting to simplify this to only bind a single
name at a time, and translate, say, (x y : A)
to (x : A)(y : A)
before type-checking. However, this would be slightly problematic:
- We would have to typecheck the type
A
several times. - If
A
contains a meta variable or hole, it would be duplicated by such a translation.
While 1. is only slightly inefficient, 2. would be an outright bug.
Duplicating A
could not be done naively, we would have to make sure
that the metas of the copy are aliases of the metas of the original.
Constructors
TBind Range [WithHiding Name] Expr | As in telescope |
TLet Range [LetBinding] | E.g. |
Instances
type Telescope = [TypedBindings] Source #
data NamedDotPattern Source #
Instances
We could throw away where
clauses at this point and translate them to
let
. It's not obvious how to remember that the let
was really a
where
clause though, so for the time being we keep it here.
Constructors
Clause | |
Fields
|
Instances
Functor Clause' Source # | |
Foldable Clause' Source # | |
Traversable Clause' Source # | |
AllNames Clause Source # | |
LHSToSpine Clause SpineClause Source # | Clause instance. |
Reify NamedClause Clause Source # | |
ToAbstract Clause Clause Source # | |
Eq lhs => Eq (Clause' lhs) Source # | |
Show lhs => Show (Clause' lhs) Source # | |
KillRange a => KillRange (Clause' a) Source # | |
HasRange a => HasRange (Clause' a) Source # | |
ExprLike a => ExprLike (Clause' a) Source # | |
ToAbstract (QNamed Clause) Clause Source # | |
Reify (QNamed Clause) Clause Source # | |
ToConcrete a LHS => ToConcrete (Clause' a) [Declaration] Source # | |
ToAbstract [QNamed Clause] [Clause] Source # | |
type SpineClause = Clause' SpineLHS Source #
Constructors
RHS | |
AbsurdRHS | |
WithRHS QName [Expr] [Clause] | The |
RewriteRHS | |
Fields
|
The lhs of a clause in spine view (inside-out).
Projection patterns are contained in spLhsPats
,
represented as ProjP d
.
Constructors
SpineLHS | |
Fields
|
The lhs of a clause in focused (projection-application) view (outside-in).
Projection patters are represented as LHSProj
s.
Constructors
LHS | |
Instances
Eq LHS Source # | |
Show LHS Source # | |
KillRange LHS Source # | |
HasRange LHS Source # | |
AllNames Clause Source # | |
ExprLike LHS Source # | |
LHSToSpine LHS SpineLHS Source # | LHS instance. |
LHSToSpine Clause SpineClause Source # | Clause instance. |
ToConcrete LHS LHS Source # | |
Reify NamedClause Clause Source # | |
ToAbstract Clause Clause Source # | |
ToAbstract LeftHandSide LHS Source # | |
ToAbstract (QNamed Clause) Clause Source # | |
Reify (QNamed Clause) Clause Source # | |
ToAbstract [QNamed Clause] [Clause] Source # | |
The lhs minus with
-patterns in projection-application view.
Parameterised over the type e
of dot patterns.
Constructors
LHSHead | The head applied to ordinary patterns. |
Fields
| |
LHSProj | Projection |
Fields
|
Instances
Functor LHSCore' Source # | |
Foldable LHSCore' Source # | |
Traversable LHSCore' Source # | |
ToConcrete LHSCore Pattern Source # | |
ToAbstract LHSCore (LHSCore' Expr) Source # | |
Eq e => Eq (LHSCore' e) Source # | |
Show e => Show (LHSCore' e) Source # | |
KillRange e => KillRange (LHSCore' e) Source # | |
HasRange (LHSCore' e) Source # | |
ExprLike a => ExprLike (LHSCore' a) Source # | |
ToAbstract (LHSCore' Expr) (LHSCore' Expr) Source # | |
class LHSToSpine a b where Source #
Convert a focused lhs to spine view and back.
Minimal complete definition
Instances
LHSToSpine LHS SpineLHS Source # | LHS instance. |
LHSToSpine Clause SpineClause Source # | Clause instance. |
LHSToSpine a b => LHSToSpine [a] [b] Source # | List instance (for clauses). |
lhsCoreApp :: IsProjP e => LHSCore' e -> [NamedArg (Pattern' e)] -> LHSCore' e Source #
Add applicative patterns (non-projection patterns) to the right.
lhsCoreAddSpine :: IsProjP e => LHSCore' e -> [NamedArg (Pattern' e)] -> LHSCore' e Source #
Add projection and applicative patterns to the right.
lhsCoreAllPatterns :: LHSCore' e -> [Pattern' e] Source #
Used for checking pattern linearity.
lhsCoreToPattern :: LHSCore -> Pattern Source #
Used in AbstractToConcrete.
Patterns
Parameterised over the type of dot patterns.
Constructors
VarP Name | |
ConP ConPatInfo AmbiguousQName [NamedArg (Pattern' e)] | |
ProjP PatInfo ProjOrigin AmbiguousQName | Destructor pattern |
DefP PatInfo AmbiguousQName [NamedArg (Pattern' e)] | Defined pattern: function definition |
WildP PatInfo | Underscore pattern entered by user. Or generated at type checking for implicit arguments. |
AsP PatInfo Name (Pattern' e) | |
DotP PatInfo Origin e | |
AbsurdP PatInfo | |
LitP Literal | |
PatternSynP PatInfo QName [NamedArg (Pattern' e)] | |
RecP PatInfo [FieldAssignment' (Pattern' e)] |
Instances
Functor Pattern' Source # | |
Foldable Pattern' Source # | |
Traversable Pattern' Source # | |
ExpandPatternSynonyms Pattern Source # | |
IsFlexiblePattern Pattern Source # | |
UniverseBi Declaration Pattern Source # | |
ToConcrete Pattern Pattern Source # | |
UniverseBi Declaration (Pattern' Void) Source # | |
ToAbstract Pattern (Pattern' Expr) Source # | |
ToAbstract Pattern (Names, Pattern) Source # | |
Eq e => Eq (Pattern' e) Source # | |
Show e => Show (Pattern' e) Source # | |
KillRange e => KillRange (Pattern' e) Source # | |
SetRange (Pattern' a) Source # | |
HasRange (Pattern' e) Source # | |
IsProjP (Pattern' e) Source # | |
IsProjP e => MaybePostfixProjP (Pattern' e) Source # | |
ExprLike a => ExprLike (Pattern' a) Source # | |
NamesIn (Pattern' a) Source # | |
ToAbstract (Pattern' Expr) (Pattern' Expr) Source # | |
class MaybePostfixProjP a where Source #
Minimal complete definition
Methods
maybePostfixProjP :: a -> Maybe (ProjOrigin, AmbiguousQName) Source #
Instances
MaybePostfixProjP a => MaybePostfixProjP (Arg a) Source # | |
IsProjP e => MaybePostfixProjP (Pattern' e) Source # | |
MaybePostfixProjP a => MaybePostfixProjP (Named n a) Source # | |
class AllNames a where Source #
Extracts all the names which are declared in a Declaration
.
This does not include open public or let expressions, but it does
include local modules, where clauses and the names of extended
lambdas.
Minimal complete definition
Instances
AllNames QName Source # | |
AllNames RHS Source # | |
AllNames Clause Source # | |
AllNames TypedBinding Source # | |
AllNames TypedBindings Source # | |
AllNames LamBinding Source # | |
AllNames LetBinding Source # | |
AllNames ModuleApplication Source # | |
AllNames Declaration Source # | |
AllNames Expr Source # | |
AllNames CallInfo Source # | |
AllNames CallPath Source # | |
AllNames a => AllNames [a] Source # | |
AllNames a => AllNames (Maybe a) Source # | |
AllNames a => AllNames (Arg a) Source # | |
(AllNames a, AllNames b) => AllNames (a, b) Source # | |
AllNames a => AllNames (Named name a) Source # | |
axiomName :: Declaration -> QName Source #
The name defined by the given axiom.
Precondition: The declaration has to be a (scoped) Axiom
.
class AnyAbstract a where Source #
Are we in an abstract block?
In that case some definition is abstract.
Minimal complete definition
Methods
anyAbstract :: a -> Bool Source #
Instances
AnyAbstract Declaration Source # | |
AnyAbstract a => AnyAbstract [a] Source # | |
nameExpr :: AbstractName -> Expr Source #
Turn an AbstractName
to an expression.
patternToExpr :: Pattern -> Expr Source #
type PatternSynDefns = Map QName PatternSynDefn Source #
class SubstExpr a where Source #
Minimal complete definition
Instances
SubstExpr Name Source # | |
SubstExpr ModuleName Source # | |
SubstExpr TypedBinding Source # | |
SubstExpr TypedBindings Source # | |
SubstExpr LetBinding Source # | |
SubstExpr Assign Source # | |
SubstExpr Expr Source # | |
SubstExpr a => SubstExpr [a] Source # | |
SubstExpr a => SubstExpr (Arg a) Source # | |
(SubstExpr a, SubstExpr b) => SubstExpr (Either a b) Source # | |
(SubstExpr a, SubstExpr b) => SubstExpr (a, b) Source # | |
SubstExpr a => SubstExpr (Named name a) Source # | |
insertImplicitPatSynArgs :: HasRange a => (Range -> a) -> Range -> [Arg Name] -> [NamedArg a] -> Maybe ([(Name, a)], [Arg Name]) Source #
module Agda.Syntax.Abstract.Name