Improvements to grammar
This commit is contained in:
4
TODO.md
4
TODO.md
@@ -2,10 +2,10 @@
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## TODO
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- [x] forall / ∀ sugar
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- [ ] Bad module name error has FC 0,0 instead of the module or name
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- [x] Bad module name error has FC 0,0 instead of the module or name
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- [x] I've made `{x}` be `{x : _}` instead of `{_ : x}`. Change this.
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- [ ] Remove context lambdas when printing solutions (show names from context)
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- build list of names and strip λ, then call pprint with names
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- maybe build list of names and strip λ, then call pprint with names
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- [ ] Check for shadowing when declaring dcon
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- [ ] Require infix decl before declaring names (helps find bugs)
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- [ ] sugar for typeclasses
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@@ -44,7 +44,7 @@ data _≡_ : ∀ A . A -> A -> U where
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Refl : ∀ A . {a : A} -> a ≡ a
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-- If a ≡ b then b ≡ a
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sym : {A : U} {a b : A} -> a ≡ b -> b ≡ a
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sym : {A} {a b : A} -> a ≡ b -> b ≡ a
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sym Refl = Refl
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-- if a ≡ b and b ≡ c then a ≡ c
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@@ -52,11 +52,11 @@ trans : {A : U} {a b c : A} -> a ≡ b -> b ≡ c -> a ≡ c
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trans Refl x = x
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-- This lets us replace a with b inside an expression if a ≡ b
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replace : {A : U} {a b : A} -> (P : A -> U) -> a ≡ b -> P a -> P b
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replace : ∀ A a b. (P : A -> U) -> a ≡ b -> P a -> P b
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replace p Refl x = x
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-- if a ≡ b then f a ≡ f b
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cong : {A B : U} {a b : A} -> (f : A -> B) -> a ≡ b -> f a ≡ f b
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cong : ∀ A B a b. (f : A -> B) -> a ≡ b -> f a ≡ f b
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-- if concatenate two lists, the length is the sum of the lengths
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-- of the original lists
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@@ -20,7 +20,7 @@
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-/
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-- One-line comments begin with two hypens
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-- One-line comments begin with two hyphens
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-- every file begins with a `module` declaration
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-- it must match the filename
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@@ -150,16 +150,16 @@ data Monad : (U -> U) -> U where
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({a b : U} -> m a -> (a -> m b) -> m b) ->
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Monad m
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pure : ∀ m . {{_ : Monad m}} -> {a : U} -> a -> m a
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pure : ∀ m. {{Monad m}} -> {a : U} -> a -> m a
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pure {{MkMonad p _}} a = p a
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-- we can declare multiple infix operators at once
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infixl 1 _>>=_ _>>_
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_>>=_ : ∀ m a b. {{_ : Monad m}} -> m a -> (a -> m b) -> m b
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_>>=_ : ∀ m a b. {{Monad m}} -> m a -> (a -> m b) -> m b
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_>>=_ {{MkMonad _ b}} ma amb = b ma amb
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_>>_ : ∀ m a b. {{_ : Monad m}} -> m a -> m b -> m b
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_>>_ : ∀ m a b. {{Monad m}} -> m a -> m b -> m b
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ma >> mb = ma >>= (λ _ => mb)
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-- That's our Monad typeclass, now let's make a List monad
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@@ -16,8 +16,8 @@ data Void : U where
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infixl 4 _+_
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data _+_ : U -> U -> U where
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inl : {A B : U} -> A -> A + B
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inr : {A B : U} -> B -> A + B
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inl : {A B} -> A -> A + B
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inr : {A B} -> B -> A + B
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infix 4 _<=_
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@@ -47,14 +47,14 @@ _ <<= Top = Unit
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_ <<= _ = Void
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data Intv : Bnd -> Bnd -> U where
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intv : {l u : Bnd} (x : Nat) (lx : l <<= N x) (xu : N x <<= u) -> Intv l u
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intv : {l u} (x : Nat) (lx : l <<= N x) (xu : N x <<= u) -> Intv l u
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data T23 : Bnd -> Bnd -> Nat -> U where
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leaf : {l u : Bnd} {h : Nat} (lu : l <<= u) -> T23 l u Z
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node2 : {l u : Bnd} {h : Nat} (x : _)
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leaf : {l u} (lu : l <<= u) -> T23 l u Z
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node2 : {l u h} (x : _)
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(tlx : T23 l (N x) h) (txu : T23 (N x) u h) ->
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T23 l u (S h)
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node3 : {l u : Bnd} {h : Nat} (x y : _)
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node3 : {l u h} (x y : _)
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(tlx : T23 l (N x) h) (txy : T23 (N x) (N y) h) (tyu : T23 (N y) u h) ->
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T23 l u (S h)
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@@ -71,9 +71,8 @@ A * B = Sg A (\ _ => B)
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TooBig : Bnd -> Bnd -> Nat -> U
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TooBig l u h = Sg Nat (\ x => T23 l (N x) h * T23 (N x) u h)
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insert : {h : Nat} {l u : Bnd} -> Intv l u -> T23 l u h -> TooBig l u h + T23 l u h
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-- Agda is yellow here, needs h = x on each leaf
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insert (intv x lx xu) (leaf lu) = inl (x , (leaf {_} {_} {x} lx , leaf {_} {_} {x} xu))
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insert : {l u h} -> Intv l u -> T23 l u h -> TooBig l u h + T23 l u h
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insert (intv x lx xu) (leaf lu) = inl (x , (leaf lx , leaf xu))
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insert (intv x lx xu) (node2 y tly tyu) = case cmp x y of
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-- u := N y is not solved at this time
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inl xy => case insert (intv {_} {N y} x lx xy) tly of
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@@ -3,35 +3,35 @@ module TypeClass
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data Monad : (U -> U) -> U where
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MkMonad : { M : U -> U } ->
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(bind : {A B : U} -> (M A) -> (A -> M B) -> M B) ->
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(pure : {A : U} -> A -> M A) ->
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(pure : ∀ A. A -> M A) ->
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Monad M
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infixl 1 _>>=_ _>>_
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_>>=_ : {a b : U} -> {m : U -> U} -> {{x : Monad m}} -> (m a) -> (a -> m b) -> m b
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_>>=_ {a} {b} {m} {{MkMonad bind' _}} ma amb = bind' {a} {b} ma amb
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_>>=_ : ∀ m a b. {{Monad m}} -> (m a) -> (a -> m b) -> m b
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_>>=_ {{MkMonad bind' _}} ma amb = bind' ma amb
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_>>_ : {a b : U} -> {m : U -> U} -> {{x : Monad m}} -> m a -> m b -> m b
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_>>_ : ∀ m a b. {{Monad m}} -> m a -> m b -> m b
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ma >> mb = mb
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pure : {a : U} {m : U -> U} {{_ : Monad m}} -> a -> m a
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pure {_} {_} {{MkMonad _ pure'}} a = pure' a
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pure : ∀ m a. {{Monad m}} -> a -> m a
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pure {{MkMonad _ pure'}} a = pure' a
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data Either : U -> U -> U where
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Left : {A B : U} -> A -> Either A B
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Right : {A B : U} -> B -> Either A B
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Left : ∀ A B. A -> Either A B
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Right : ∀ A B. B -> Either A B
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bindEither : {A B C : U} -> (Either A B) -> (B -> Either A C) -> Either A C
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bindEither : ∀ A B C. (Either A B) -> (B -> Either A C) -> Either A C
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bindEither (Left a) amb = Left a
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bindEither (Right b) amb = amb b
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EitherMonad : {A : U} -> Monad (Either A)
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EitherMonad : ∀ A. Monad (Either A)
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EitherMonad = MkMonad {Either A} bindEither Right
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data Maybe : U -> U where
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Just : {A : U} -> A -> Maybe A
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Nothing : {A : U} -> Maybe A
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Just : ∀ A. A -> Maybe A
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Nothing : ∀ A. Maybe A
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bindMaybe : {A B : U} -> Maybe A -> (A -> Maybe B) -> Maybe B
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bindMaybe : ∀ A B. Maybe A -> (A -> Maybe B) -> Maybe B
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bindMaybe Nothing amb = Nothing
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bindMaybe (Just a) amb = amb a
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@@ -40,19 +40,19 @@ MaybeMonad = MkMonad bindMaybe Just
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infixr 7 _::_
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data List : U -> U where
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Nil : {A : U} -> List A
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_::_ : {A : U} -> A -> List A -> List A
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Nil : ∀ A. List A
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_::_ : ∀ A. A -> List A -> List A
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infixl 7 _++_
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_++_ : {A : U} -> List A -> List A -> List A
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_++_ : ∀ A. List A -> List A -> List A
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Nil ++ ys = ys
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(x :: xs) ++ ys = x :: (xs ++ ys)
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bindList : {A B : U} -> List A -> (A -> List B) -> List B
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bindList : ∀ A B. List A -> (A -> List B) -> List B
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bindList Nil f = Nil
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bindList (x :: xs) f = f x ++ bindList xs f
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singleton : {A : U} -> A -> List A
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singleton : ∀ A. A -> List A
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singleton a = a :: Nil
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-- TODO need better error when the monad is not defined
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@@ -61,7 +61,7 @@ ListMonad = MkMonad bindList singleton
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infixr 1 _,_
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data Pair : U -> U -> U where
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_,_ : {A B : U} -> A -> B -> Pair A B
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_,_ : ∀ A B. A -> B -> Pair A B
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ptype Int
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@@ -69,7 +69,7 @@ test : Maybe Int
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test = pure 10
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foo : Int -> Maybe Int
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foo x = Just 42 >> Just x >>= (\ x => pure {_} {Maybe} 10)
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foo x = Just 42 >> Just x >>= (\ x => pure 10)
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bar : Int -> Maybe Int
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bar x = do
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@@ -77,7 +77,7 @@ bar x = do
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z <- Just x
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pure z
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baz : {A B : U} -> List A -> List B -> List (Pair A B)
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baz : ∀ A B. List A -> List B -> List (Pair A B)
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baz xs ys = do
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x <- xs
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y <- ys
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@@ -233,20 +233,23 @@ ebind = do
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ibind : Parser (List (FC, String, Icit, Raw))
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ibind = do
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-- I've gone back and forth on this, but I think {m a b} is more useful than {Nat}
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sym "{"
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-- REVIEW - I have name required and type optional, which I think is the opposite of what I expect
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names <- try (some (withPos varname) <* sym ":")
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ty <- typeExpr
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names <- (some (withPos varname))
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ty <- optional (sym ":" *> typeExpr)
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sym "}"
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pure $ map (\(pos,name) => (pos, name, Implicit, ty)) names
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pure $ map (\(pos,name) => (pos, name, Implicit, fromMaybe (RImplicit pos) ty)) names
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abind : Parser (List (FC, String, Icit, Raw))
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abind = do
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-- for this, however, it would be nice to allow {{Monad A}}
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sym "{{"
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names <- try (some (withPos varname) <* sym ":")
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name <- optional $ try (withPos varname <* sym ":")
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ty <- typeExpr
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sym "}}"
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pure $ map (\(pos,name) => (pos, name, Auto, ty)) names
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case name of
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Just (pos,name) => pure [(pos, name, Auto, ty)]
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Nothing => pure [(getFC ty, "_", Auto, ty)]
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arrow : Parser Unit
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arrow = sym "->" <|> sym "→"
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@@ -371,8 +374,8 @@ parseDecl = parseMixfix <|> parsePType <|> parsePFunc <|> parseNorm <|> parseDat
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export
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parseModHeader : Parser String
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parseModHeader = sameLevel (keyword "module") >> uident
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parseModHeader : Parser (FC, String)
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parseModHeader = sameLevel (keyword "module") >> withPos uident
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export
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parseImports : Parser (List Import)
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@@ -63,13 +63,13 @@ processModule base stk name = do
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let Right toks = tokenise src
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| Left err => fail (showError src err)
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let Right (modName, ops, toks) := partialParse parseModHeader top.ops toks
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let Right ((nameFC, modName), ops, toks) := partialParse parseModHeader top.ops toks
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| Left err => fail (showError src err)
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putStrLn "module \{modName}"
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let True = name == modName
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| _ => fail "ERROR at (0, 0): module name \{show modName} doesn't match file name \{show fn}"
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| _ => fail "ERROR at \{show nameFC}: module name \{show modName} doesn't match file name \{show fn}"
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let Right (imports, ops, toks) := partialParse parseImports ops toks
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| Left err => fail (showError src err)
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@@ -16,8 +16,8 @@ data Void : U where
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infixl 4 _+_
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data _+_ : U -> U -> U where
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inl : {A B : U} -> A -> A + B
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inr : {A B : U} -> B -> A + B
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inl : {A B} -> A -> A + B
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inr : {A B} -> B -> A + B
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infix 4 _<=_
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@@ -47,14 +47,14 @@ _ <<= Top = Unit
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_ <<= _ = Void
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data Intv : Bnd -> Bnd -> U where
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intv : {l u : Bnd} (x : Nat) (lx : l <<= N x) (xu : N x <<= u) -> Intv l u
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intv : {l u} (x : Nat) (lx : l <<= N x) (xu : N x <<= u) -> Intv l u
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data T23 : Bnd -> Bnd -> Nat -> U where
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leaf : {l u : Bnd} {h : Nat} (lu : l <<= u) -> T23 l u Z
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node2 : {l u : Bnd} {h : Nat} (x : _)
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leaf : {l u} (lu : l <<= u) -> T23 l u Z
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node2 : {l u h} (x : _)
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(tlx : T23 l (N x) h) (txu : T23 (N x) u h) ->
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T23 l u (S h)
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node3 : {l u : Bnd} {h : Nat} (x y : _)
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node3 : {l u h} (x y : _)
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(tlx : T23 l (N x) h) (txy : T23 (N x) (N y) h) (tyu : T23 (N y) u h) ->
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T23 l u (S h)
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@@ -71,10 +71,8 @@ A * B = Sg A (\ _ => B)
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TooBig : Bnd -> Bnd -> Nat -> U
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TooBig l u h = Sg Nat (\ x => T23 l (N x) h * T23 (N x) u h)
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insert : {h : Nat} {l u : Bnd} -> Intv l u -> T23 l u h -> TooBig l u h + T23 l u h
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-- Agda is yellow here, needs h = x on each leaf
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-- The second arg to the second _,_ is unsolved and pi-typed
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insert (intv x lx xu) (leaf lu) = inl (x , (leaf {_} {_} {x} lx , leaf {_} {_} {x} xu))
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insert : {l u h} -> Intv l u -> T23 l u h -> TooBig l u h + T23 l u h
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insert (intv x lx xu) (leaf lu) = inl (x , (leaf lx , leaf xu))
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insert (intv x lx xu) (node2 y tly tyu) = case cmp x y of
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-- u := N y is not solved at this time
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inl xy => case insert (intv {_} {N y} x lx xy) tly of
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@@ -3,35 +3,35 @@ module TypeClass
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data Monad : (U -> U) -> U where
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MkMonad : { M : U -> U } ->
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(bind : {A B : U} -> (M A) -> (A -> M B) -> M B) ->
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(pure : {A : U} -> A -> M A) ->
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(pure : ∀ A. A -> M A) ->
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Monad M
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infixl 1 _>>=_ _>>_
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_>>=_ : {a b : U} -> {m : U -> U} -> {{x : Monad m}} -> (m a) -> (a -> m b) -> m b
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_>>=_ {a} {b} {m} {{MkMonad bind' _}} ma amb = bind' {a} {b} ma amb
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_>>=_ : ∀ m a b. {{Monad m}} -> (m a) -> (a -> m b) -> m b
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_>>=_ {{MkMonad bind' _}} ma amb = bind' ma amb
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_>>_ : {a b : U} -> {m : U -> U} -> {{x : Monad m}} -> m a -> m b -> m b
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_>>_ : ∀ m a b. {{Monad m}} -> m a -> m b -> m b
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ma >> mb = mb
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pure : {a : U} {m : U -> U} {{_ : Monad m}} -> a -> m a
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pure {_} {_} {{MkMonad _ pure'}} a = pure' a
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pure : ∀ m a. {{Monad m}} -> a -> m a
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pure {{MkMonad _ pure'}} a = pure' a
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data Either : U -> U -> U where
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Left : {A B : U} -> A -> Either A B
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Right : {A B : U} -> B -> Either A B
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Left : ∀ A B. A -> Either A B
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Right : ∀ A B. B -> Either A B
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bindEither : {A B C : U} -> (Either A B) -> (B -> Either A C) -> Either A C
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bindEither : ∀ A B C. (Either A B) -> (B -> Either A C) -> Either A C
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bindEither (Left a) amb = Left a
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bindEither (Right b) amb = amb b
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EitherMonad : {A : U} -> Monad (Either A)
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EitherMonad : ∀ A. Monad (Either A)
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EitherMonad = MkMonad {Either A} bindEither Right
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data Maybe : U -> U where
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Just : {A : U} -> A -> Maybe A
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Nothing : {A : U} -> Maybe A
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Just : ∀ A. A -> Maybe A
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Nothing : ∀ A. Maybe A
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bindMaybe : {A B : U} -> Maybe A -> (A -> Maybe B) -> Maybe B
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bindMaybe : ∀ A B. Maybe A -> (A -> Maybe B) -> Maybe B
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bindMaybe Nothing amb = Nothing
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bindMaybe (Just a) amb = amb a
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@@ -40,19 +40,19 @@ MaybeMonad = MkMonad bindMaybe Just
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infixr 7 _::_
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data List : U -> U where
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Nil : {A : U} -> List A
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_::_ : {A : U} -> A -> List A -> List A
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Nil : ∀ A. List A
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_::_ : ∀ A. A -> List A -> List A
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infixl 7 _++_
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_++_ : {A : U} -> List A -> List A -> List A
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_++_ : ∀ A. List A -> List A -> List A
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Nil ++ ys = ys
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(x :: xs) ++ ys = x :: (xs ++ ys)
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bindList : {A B : U} -> List A -> (A -> List B) -> List B
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||||
bindList : ∀ A B. List A -> (A -> List B) -> List B
|
||||
bindList Nil f = Nil
|
||||
bindList (x :: xs) f = f x ++ bindList xs f
|
||||
|
||||
singleton : {A : U} -> A -> List A
|
||||
singleton : ∀ A. A -> List A
|
||||
singleton a = a :: Nil
|
||||
|
||||
-- TODO need better error when the monad is not defined
|
||||
@@ -61,7 +61,7 @@ ListMonad = MkMonad bindList singleton
|
||||
|
||||
infixr 1 _,_
|
||||
data Pair : U -> U -> U where
|
||||
_,_ : {A B : U} -> A -> B -> Pair A B
|
||||
_,_ : ∀ A B. A -> B -> Pair A B
|
||||
|
||||
ptype Int
|
||||
|
||||
@@ -69,7 +69,7 @@ test : Maybe Int
|
||||
test = pure 10
|
||||
|
||||
foo : Int -> Maybe Int
|
||||
foo x = Just 42 >> Just x >>= (\ x => pure {_} {Maybe} 10)
|
||||
foo x = Just 42 >> Just x >>= (\ x => pure 10)
|
||||
|
||||
bar : Int -> Maybe Int
|
||||
bar x = do
|
||||
@@ -77,7 +77,7 @@ bar x = do
|
||||
z <- Just x
|
||||
pure z
|
||||
|
||||
baz : {A B : U} -> List A -> List B -> List (Pair A B)
|
||||
baz : ∀ A B. List A -> List B -> List (Pair A B)
|
||||
baz xs ys = do
|
||||
x <- xs
|
||||
y <- ys
|
||||
|
||||
Reference in New Issue
Block a user