lambda-cube-0.3.0: Some thoughts on Calculus of Constructions
Safe HaskellSafe-Inferred
LanguageHaskell2010

L3.Core.Expr

Synopsis

Documentation

data Expr a Source #

An expression in the calculus of constructions.

Constructors

Star 
Box 
Var a 
Lam a (Expr a) (Expr a) 
Pi a (Expr a) (Expr a) 
App (Expr a) (Expr a) 

Instances

Instances details
Functor Expr Source # 
Instance details

Defined in L3.Core.Expr

Methods

fmap :: (a -> b) -> Expr a -> Expr b #

(<$) :: a -> Expr b -> Expr a #

Foldable Expr Source # 
Instance details

Defined in L3.Core.Expr

Methods

fold :: Monoid m => Expr m -> m #

foldMap :: Monoid m => (a -> m) -> Expr a -> m #

foldMap' :: Monoid m => (a -> m) -> Expr a -> m #

foldr :: (a -> b -> b) -> b -> Expr a -> b #

foldr' :: (a -> b -> b) -> b -> Expr a -> b #

foldl :: (b -> a -> b) -> b -> Expr a -> b #

foldl' :: (b -> a -> b) -> b -> Expr a -> b #

foldr1 :: (a -> a -> a) -> Expr a -> a #

foldl1 :: (a -> a -> a) -> Expr a -> a #

toList :: Expr a -> [a] #

null :: Expr a -> Bool #

length :: Expr a -> Int #

elem :: Eq a => a -> Expr a -> Bool #

maximum :: Ord a => Expr a -> a #

minimum :: Ord a => Expr a -> a #

sum :: Num a => Expr a -> a #

product :: Num a => Expr a -> a #

Traversable Expr Source # 
Instance details

Defined in L3.Core.Expr

Methods

traverse :: Applicative f => (a -> f b) -> Expr a -> f (Expr b) #

sequenceA :: Applicative f => Expr (f a) -> f (Expr a) #

mapM :: Monad m => (a -> m b) -> Expr a -> m (Expr b) #

sequence :: Monad m => Expr (m a) -> m (Expr a) #

Eq a => Eq (Expr a) Source # 
Instance details

Defined in L3.Core.Expr

Methods

(==) :: Expr a -> Expr a -> Bool #

(/=) :: Expr a -> Expr a -> Bool #

Show a => Show (Expr a) Source # 
Instance details

Defined in L3.Core.Show

Methods

showsPrec :: Int -> Expr a -> ShowS #

show :: Expr a -> String #

showList :: [Expr a] -> ShowS #

data Context a Source #

A context is a stack, mapping names to bound values.

Constructors

Ctx [(a, Expr a)] 

Instances

Instances details
Show a => Show (Context a) Source # 
Instance details

Defined in L3.Core.Show

Methods

showsPrec :: Int -> Context a -> ShowS #

show :: Context a -> String #

showList :: [Context a] -> ShowS #