Safe Haskell	Safe-Inferred
Language	Haskell2010

Agda.TypeChecking.Names

Contents

Helpers to build lambda abstractions.
Combinators for n-ary binders.

Description

EDSL to construct terms without touching De Bruijn indices.

e.g. given t, u :: Term, Γ ⊢ t, u : A, we can build "λ f. f t u" like this:

runNames [] $ do -- open binds t and u to computations that know how to weaken themselves in -- an extended context

t,u: <- mapM open [t,u]

- lam gives the illusion of HOAS by providing f as a computation.
- It also extends the internal context with the name "f", so that
- t and u will get weakened in the body.
- We apply f with the (@) combinator from Agda.TypeChecking.Primitive.

lam "f" $ f -> f @ t @ u

Synopsis

newtype NamesT m a = NamesT {
- unName :: ReaderT Names m a
}
type Names = [String]
runNamesT :: Names -> NamesT m a -> m a
runNames :: Names -> NamesT Fail a -> a
currentCxt :: Monad m => NamesT m Names
cxtSubst :: MonadFail m => Names -> NamesT m (Substitution' a)
inCxt :: (MonadFail m, Subst a) => Names -> a -> NamesT m a
cl' :: Applicative m => a -> NamesT m a
cl :: Monad m => m a -> NamesT m a
open :: (MonadFail m, Subst a) => a -> NamesT m (NamesT m a)
type Var m = forall b. (Subst b, DeBruijn b) => NamesT m b
bind :: MonadFail m => ArgName -> ((forall b. (Subst b, DeBruijn b) => NamesT m b) -> NamesT m a) -> NamesT m (Abs a)
bind' :: MonadFail m => ArgName -> ((forall b. (Subst b, DeBruijn b) => NamesT m b) -> NamesT m a) -> NamesT m a
glam :: MonadFail m => ArgInfo -> ArgName -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
lam :: MonadFail m => ArgName -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
ilam :: MonadFail m => ArgName -> (NamesT m Term -> NamesT m Term) -> NamesT m Term
data AbsN a = AbsN {
- absNName :: [ArgName]
- unAbsN :: a
}
toAbsN :: Abs (AbsN a) -> AbsN a
absAppN :: Subst a => AbsN a -> [SubstArg a] -> a
type ArgVars m = forall b. (Subst b, DeBruijn b) => [NamesT m (Arg b)]
type Vars m = forall b. (Subst b, DeBruijn b) => [NamesT m b]
bindN :: MonadFail m => [ArgName] -> (Vars m -> NamesT m a) -> NamesT m (AbsN a)
bindNArg :: MonadFail m => [Arg ArgName] -> (ArgVars m -> NamesT m a) -> NamesT m (AbsN a)
type Vars1 m = forall b. (Subst b, DeBruijn b) => List1 (NamesT m b)
bindN1 :: MonadFail m => List1 ArgName -> (Vars1 m -> NamesT m a) -> NamesT m (AbsN a)
glamN :: (Functor m, MonadFail m) => [Arg ArgName] -> (NamesT m Args -> NamesT m Term) -> NamesT m Term
applyN :: (Monad m, Subst a) => NamesT m (AbsN a) -> [NamesT m (SubstArg a)] -> NamesT m a
applyN' :: (Monad m, Subst a) => NamesT m (AbsN a) -> NamesT m [SubstArg a] -> NamesT m a
abstractN :: (MonadFail m, Abstract a) => NamesT m Telescope -> (Vars m -> NamesT m a) -> NamesT m a
abstractT :: (MonadFail m, Abstract a) => String -> NamesT m Type -> (Var m -> NamesT m a) -> NamesT m a
lamTel :: Monad m => NamesT m (Abs [Term]) -> NamesT m [Term]
appTel :: Monad m => NamesT m [Term] -> NamesT m Term -> NamesT m [Term]

Documentation

newtype NamesT m a Source #

Constructors

NamesT
Fields unName :: ReaderT Names m a

Instances

Instances details

MonadTrans NamesT Source #
Instance details Defined in Agda.TypeChecking.Names Methods lift :: Monad m => m a -> NamesT m a
MonadError e m => MonadError e (NamesT m) Source #
Instance details Defined in Agda.TypeChecking.Names Methods throwError :: e -> NamesT m a catchError :: NamesT m a -> (e -> NamesT m a) -> NamesT m a
MonadState s m => MonadState s (NamesT m) Source #
Instance details Defined in Agda.TypeChecking.Names Methods get :: NamesT m s put :: s -> NamesT m () state :: (s -> (a, s)) -> NamesT m a
HasOptions m => HasOptions (NamesT m) Source #
Instance details Defined in Agda.TypeChecking.Names Methods pragmaOptions :: NamesT m PragmaOptions Source # commandLineOptions :: NamesT m CommandLineOptions Source #
MonadReduce m => MonadReduce (NamesT m) Source #
Instance details Defined in Agda.TypeChecking.Names Methods liftReduce :: ReduceM a -> NamesT m a Source #
MonadTCEnv m => MonadTCEnv (NamesT m) Source #
Instance details Defined in Agda.TypeChecking.Names Methods askTC :: NamesT m TCEnv Source # localTC :: (TCEnv -> TCEnv) -> NamesT m a -> NamesT m a Source #
MonadTCM m => MonadTCM (NamesT m) Source #
Instance details Defined in Agda.TypeChecking.Names Methods liftTCM :: TCM a -> NamesT m a Source #
MonadTCState m => MonadTCState (NamesT m) Source #
Instance details Defined in Agda.TypeChecking.Names Methods getTC :: NamesT m TCState Source # putTC :: TCState -> NamesT m () Source # modifyTC :: (TCState -> TCState) -> NamesT m () Source #
ReadTCState m => ReadTCState (NamesT m) Source #
Instance details Defined in Agda.TypeChecking.Names Methods getTCState :: NamesT m TCState Source # locallyTCState :: Lens' TCState a -> (a -> a) -> NamesT m b -> NamesT m b Source # withTCState :: (TCState -> TCState) -> NamesT m a -> NamesT m a Source #
HasBuiltins m => HasBuiltins (NamesT m) Source #
Instance details Defined in Agda.TypeChecking.Names Methods getBuiltinThing :: SomeBuiltin -> NamesT m (Maybe (Builtin PrimFun)) Source #
MonadAddContext m => MonadAddContext (NamesT m) Source #
Instance details Defined in Agda.TypeChecking.Names Methods addCtx :: Name -> Dom Type -> NamesT m a -> NamesT m a Source # addLetBinding' :: Origin -> Name -> Term -> Dom Type -> NamesT m a -> NamesT m a Source # updateContext :: Substitution -> (Context -> Context) -> NamesT m a -> NamesT m a Source # withFreshName :: Range -> ArgName -> (Name -> NamesT m a) -> NamesT m a Source #
MonadDebug m => MonadDebug (NamesT m) Source #
Instance details Defined in Agda.TypeChecking.Names Methods formatDebugMessage :: VerboseKey -> VerboseLevel -> TCM Doc -> NamesT m String Source # traceDebugMessage :: VerboseKey -> VerboseLevel -> String -> NamesT m a -> NamesT m a Source # verboseBracket :: VerboseKey -> VerboseLevel -> String -> NamesT m a -> NamesT m a Source # getVerbosity :: NamesT m Verbosity Source # getProfileOptions :: NamesT m ProfileOptions Source # isDebugPrinting :: NamesT m Bool Source # nowDebugPrinting :: NamesT m a -> NamesT m a Source #
(HasBuiltins m, HasConstInfo m, MonadAddContext m, MonadReduce m) => PureTCM (NamesT m) Source #
Instance details Defined in Agda.TypeChecking.Names
HasConstInfo m => HasConstInfo (NamesT m) Source #
Instance details Defined in Agda.TypeChecking.Names Methods getConstInfo :: QName -> NamesT m Definition Source # getConstInfo' :: QName -> NamesT m (Either SigError Definition) Source # getRewriteRulesFor :: QName -> NamesT m RewriteRules Source #
MonadFail m => MonadFail (NamesT m) Source #
Instance details Defined in Agda.TypeChecking.Names Methods fail :: String -> NamesT m a
MonadIO m => MonadIO (NamesT m) Source #
Instance details Defined in Agda.TypeChecking.Names Methods liftIO :: IO a -> NamesT m a
Applicative m => Applicative (NamesT m) Source #
Instance details Defined in Agda.TypeChecking.Names Methods pure :: a -> NamesT m a (<>) :: NamesT m (a -> b) -> NamesT m a -> NamesT m b # liftA2 :: (a -> b -> c) -> NamesT m a -> NamesT m b -> NamesT m c (>) :: NamesT m a -> NamesT m b -> NamesT m b (<*) :: NamesT m a -> NamesT m b -> NamesT m a
Functor m => Functor (NamesT m) Source #
Instance details Defined in Agda.TypeChecking.Names Methods fmap :: (a -> b) -> NamesT m a -> NamesT m b (<$) :: a -> NamesT m b -> NamesT m a #
Monad m => Monad (NamesT m) Source #
Instance details Defined in Agda.TypeChecking.Names Methods (>>=) :: NamesT m a -> (a -> NamesT m b) -> NamesT m b (>>) :: NamesT m a -> NamesT m b -> NamesT m b return :: a -> NamesT m a

type Names = [String] Source #

A list of variable names from a context.

runNamesT :: Names -> NamesT m a -> m a Source #

runNames :: Names -> NamesT Fail a -> a Source #

currentCxt :: Monad m => NamesT m Names Source #

cxtSubst :: MonadFail m => Names -> NamesT m (Substitution' a) Source #

cxtSubst Γ returns the substitution needed to go from Γ to the current context.

Fails if Γ is not a subcontext of the current one.

inCxt :: (MonadFail m, Subst a) => Names -> a -> NamesT m a Source #

inCxt Γ t takes a t in context Γ and produce an action that will return t weakened to the current context.

Fails whenever cxtSubst Γ would.

cl' :: Applicative m => a -> NamesT m a Source #

Closed terms

cl :: Monad m => m a -> NamesT m a Source #

open :: (MonadFail m, Subst a) => a -> NamesT m (NamesT m a) Source #

Open terms in the current context.

type Var m = forall b. (Subst b, DeBruijn b) => NamesT m b Source #

Monadic actions standing for variables.

b is quantified over so the same variable can be used e.g. both as a pattern and as an expression.

bind :: MonadFail m => ArgName -> ((forall b. (Subst b, DeBruijn b) => NamesT m b) -> NamesT m a) -> NamesT m (Abs a) Source #

bind n f provides f with a fresh variable, which can be used in any extended context.

Returns an Abs which binds the extra variable.

bind' :: MonadFail m => ArgName -> ((forall b. (Subst b, DeBruijn b) => NamesT m b) -> NamesT m a) -> NamesT m a Source #

Like bind but returns a bare term.

Helpers to build lambda abstractions.

glam :: MonadFail m => ArgInfo -> ArgName -> (NamesT m Term -> NamesT m Term) -> NamesT m Term Source #

lam :: MonadFail m => ArgName -> (NamesT m Term -> NamesT m Term) -> NamesT m Term Source #

ilam :: MonadFail m => ArgName -> (NamesT m Term -> NamesT m Term) -> NamesT m Term Source #

Combinators for n-ary binders.

data AbsN a Source #

Constructors

AbsN
Fields absNName :: [ArgName] unAbsN :: a

Instances

Instances details

Foldable AbsN Source #
Instance details Defined in Agda.TypeChecking.Names Methods fold :: Monoid m => AbsN m -> m foldMap :: Monoid m => (a -> m) -> AbsN a -> m foldMap' :: Monoid m => (a -> m) -> AbsN a -> m foldr :: (a -> b -> b) -> b -> AbsN a -> b foldr' :: (a -> b -> b) -> b -> AbsN a -> b foldl :: (b -> a -> b) -> b -> AbsN a -> b foldl' :: (b -> a -> b) -> b -> AbsN a -> b foldr1 :: (a -> a -> a) -> AbsN a -> a foldl1 :: (a -> a -> a) -> AbsN a -> a toList :: AbsN a -> [a] null :: AbsN a -> Bool length :: AbsN a -> Int elem :: Eq a => a -> AbsN a -> Bool maximum :: Ord a => AbsN a -> a minimum :: Ord a => AbsN a -> a sum :: Num a => AbsN a -> a product :: Num a => AbsN a -> a
Traversable AbsN Source #
Instance details Defined in Agda.TypeChecking.Names Methods traverse :: Applicative f => (a -> f b) -> AbsN a -> f (AbsN b) sequenceA :: Applicative f => AbsN (f a) -> f (AbsN a) mapM :: Monad m => (a -> m b) -> AbsN a -> m (AbsN b) sequence :: Monad m => AbsN (m a) -> m (AbsN a)
Functor AbsN Source #
Instance details Defined in Agda.TypeChecking.Names Methods fmap :: (a -> b) -> AbsN a -> AbsN b (<$) :: a -> AbsN b -> AbsN a #
Subst a => Subst (AbsN a) Source #
Instance details Defined in Agda.TypeChecking.Names Associated Types type SubstArg (AbsN a) Source # Methods applySubst :: Substitution' (SubstArg (AbsN a)) -> AbsN a -> AbsN a Source #
type SubstArg (AbsN a) Source #
Instance details Defined in Agda.TypeChecking.Names type SubstArg (AbsN a) = SubstArg a

toAbsN :: Abs (AbsN a) -> AbsN a Source #

Will crash on NoAbs

absAppN :: Subst a => AbsN a -> [SubstArg a] -> a Source #

type ArgVars m = forall b. (Subst b, DeBruijn b) => [NamesT m (Arg b)] Source #

type Vars m = forall b. (Subst b, DeBruijn b) => [NamesT m b] Source #

bindN :: MonadFail m => [ArgName] -> (Vars m -> NamesT m a) -> NamesT m (AbsN a) Source #

bindNArg :: MonadFail m => [Arg ArgName] -> (ArgVars m -> NamesT m a) -> NamesT m (AbsN a) Source #

type Vars1 m = forall b. (Subst b, DeBruijn b) => List1 (NamesT m b) Source #

bindN1 :: MonadFail m => List1 ArgName -> (Vars1 m -> NamesT m a) -> NamesT m (AbsN a) Source #

glamN :: (Functor m, MonadFail m) => [Arg ArgName] -> (NamesT m Args -> NamesT m Term) -> NamesT m Term Source #

applyN :: (Monad m, Subst a) => NamesT m (AbsN a) -> [NamesT m (SubstArg a)] -> NamesT m a Source #

applyN' :: (Monad m, Subst a) => NamesT m (AbsN a) -> NamesT m [SubstArg a] -> NamesT m a Source #

abstractN :: (MonadFail m, Abstract a) => NamesT m Telescope -> (Vars m -> NamesT m a) -> NamesT m a Source #

abstractT :: (MonadFail m, Abstract a) => String -> NamesT m Type -> (Var m -> NamesT m a) -> NamesT m a Source #

lamTel :: Monad m => NamesT m (Abs [Term]) -> NamesT m [Term] Source #

appTel :: Monad m => NamesT m [Term] -> NamesT m Term -> NamesT m [Term] Source #