diff options
| -rw-r--r-- | lib/ur/incl.ur | 40 | ||||
| -rw-r--r-- | lib/ur/incl.urs | 20 | ||||
| -rw-r--r-- | lib/ur/mem.ur | 38 | ||||
| -rw-r--r-- | lib/ur/mem.urs | 13 |
4 files changed, 0 insertions, 111 deletions
diff --git a/lib/ur/incl.ur b/lib/ur/incl.ur deleted file mode 100644 index 4ed27391..00000000 --- a/lib/ur/incl.ur +++ /dev/null @@ -1,40 +0,0 @@ -con incl' = K ==> fn (r1 :: {K}) (r2 :: {K}) (r' :: {K}) => - [r1 ~ r'] => {Expose : f :: ({K} -> Type) -> f r2 -> f (r1 ++ r'), - Hide : f :: ({K} -> Type) -> f (r1 ++ r') -> f r2} - -con incl = K ==> fn (r1 :: {K}) (r2 :: {K}) => - tp :: Type -> (r' :: {K} -> [r1 ~ r'] => incl' r1 r2 r' -> tp) -> tp - -fun incl [K] [r1 :: {K}] [r2 :: {K}] [r1 ~ r2] = - fn [tp :: Type] (f : r' :: {K} -> [r1 ~ r'] => incl' r1 (r1 ++ r2) r' -> tp) => - f [r2] ! (fn [r1 ~ r2] => {Expose = fn [f :: ({K} -> Type)] x => x, - Hide = fn [f :: ({K} -> Type)] x => x}) - -fun proj [r1 ::: {Type}] [r2 ::: {Type}] (i : incl r1 r2) (r : $r2) = - i [$r1] (fn [r' :: {Type}] [r1 ~ r'] (i' : incl' r1 r2 r') => - i'.Expose [fn r => $r] r --- r') - -fun inv1 [K] [nm :: Name] [t :: K] [r :: {K}] [r' :: {K}] [[nm] ~ r] - [f :: Name -> K -> {K} -> Type] - (i : incl ([nm = t] ++ r) r') - (f : nm :: Name -> t :: K -> r :: {K} -> [[nm] ~ r] => f nm t ([nm = t] ++ r)) = - i [f nm t r'] (fn [r'' :: {K}] [[nm = t] ++ r ~ r''] (i' : incl' ([nm = t] ++ r) r' r'') => - i'.Hide [f nm t] (f [nm] [t] [r ++ r''] !)) - -fun inv2 [K] [nm :: Name] [t :: K] [r :: {K}] [r' :: {K}] [[nm] ~ r] - (i : incl ([nm = t] ++ r) r') = - i [incl r r'] (fn [r'' :: {K}] [[nm = t] ++ r ~ r''] (i' : incl' ([nm = t] ++ r) r' r'') => - fn [tp :: Type] (f : r''' :: {K} -> [r ~ r'''] => incl' r r' r''' -> tp) => - f [[nm = t] ++ r''] ! (fn [r ~ [nm = t] ++ r''] => - {Expose = fn [f :: ({K} -> Type)] (x : f r') => i'.Expose [f] x, - Hide = fn [f :: ({K} -> Type)] x => i'.Hide [f] x})) - -fun fold [K] [tf :: {K} -> Type] [r ::: {K}] - (f : nm :: Name -> v :: K -> r' :: {K} - -> [[nm] ~ r'] => incl ([nm = v] ++ r') r -> tf r' -> tf ([nm = v] ++ r')) - (i : tf []) (fl : folder r) = - @Top.fold [fn r' => incl r' r -> tf r'] - (fn [nm :: Name] [v :: K] [r' :: {K}] [[nm] ~ r'] acc i => - f [nm] [v] [r'] ! i (acc (inv2 [nm] [v] [r'] [r] i))) - (fn _ => i) - fl (incl [r] [[]]) diff --git a/lib/ur/incl.urs b/lib/ur/incl.urs deleted file mode 100644 index 24db0a8a..00000000 --- a/lib/ur/incl.urs +++ /dev/null @@ -1,20 +0,0 @@ -con incl :: K --> {K} -> {K} -> Type - -val incl : K --> r1 :: {K} -> r2 :: {K} -> [r1 ~ r2] => incl r1 (r1 ++ r2) -val proj : r1 ::: {Type} -> r2 ::: {Type} -> incl r1 r2 -> $r2 -> $r1 - -val inv1 : K --> nm :: Name -> t :: K -> r :: {K} -> r' :: {K} - -> [[nm] ~ r] => - f :: (Name -> K -> {K} -> Type) - -> incl ([nm = t] ++ r) r' - -> (nm :: Name -> t :: K -> r :: {K} -> [[nm] ~ r] => f nm t ([nm = t] ++ r)) - -> f nm t r' -val inv2 : K --> nm :: Name -> t :: K -> r :: {K} -> r' :: {K} - -> [[nm] ~ r] => - incl ([nm = t] ++ r) r' -> incl r r' - -val fold : K --> tf :: ({K} -> Type) -> r ::: {K} - -> (nm :: Name -> v :: K -> r' :: {K} - -> [[nm] ~ r'] => incl ([nm = v] ++ r') r -> tf r' -> tf ([nm = v] ++ r')) - -> tf [] - -> folder r -> tf r diff --git a/lib/ur/mem.ur b/lib/ur/mem.ur deleted file mode 100644 index 85ccf988..00000000 --- a/lib/ur/mem.ur +++ /dev/null @@ -1,38 +0,0 @@ -con mem' = K ==> fn (nm :: Name) (t :: K) (r :: {K}) (r' :: {K}) => - [[nm] ~ r'] => {Expose : f :: ({K} -> Type) -> f r -> f ([nm = t] ++ r'), - Hide : f :: ({K} -> Type) -> f ([nm = t] ++ r') -> f r} - -con mem = K ==> fn (nm :: Name) (t :: K) (r :: {K}) => - tp :: Type -> (r' :: {K} -> [[nm] ~ r'] => mem' nm t r r' -> tp) -> tp - -fun mem [K] [nm :: Name] [t :: K] [r :: {K}] [[nm] ~ r] = - fn [tp :: Type] (f : r' :: {K} -> [[nm] ~ r'] => mem' nm t ([nm = t] ++ r) r' -> tp) => - f [r] ! (fn [[nm] ~ r] => {Expose = fn [f :: {K} -> Type] x => x, - Hide = fn [f :: {K} -> Type] x => x}) - -fun mp [K] [K2] [f :: K -> K2] [nm ::: Name] [t ::: K] [r ::: {K}] (m : mem nm t r) = - m [mem nm (f t) (map f r)] (fn [r' :: {K}] [[nm] ~ r'] (m' : mem' nm t r r') => - fn [tp :: Type] (f : r' :: {K2} -> [[nm] ~ r'] => - mem' nm (f t) (map f r) r' -> tp) => - f [map f r'] ! (fn [[nm] ~ map f r'] => - {Expose = fn [f' :: {K2} -> Type] x => - m'.Expose [fn r => f' (map f r)] x, - Hide = fn [f' :: {K2} -> Type] x => - m'.Hide [fn r => f' (map f r)] x})) - -fun proj [nm ::: Name] [t ::: Type] [r ::: {Type}] (m : mem nm t r) (r : $r) = - m [t] (fn [r' :: {Type}] [[nm] ~ r'] (m' : mem' nm t r r') => - (m'.Expose [fn r => $r] r).nm) - -fun replace [nm ::: Name] [t ::: Type] [r ::: {Type}] (m : mem nm t r) (r : $r) (v : t) = - m [$r] (fn [r' :: {Type}] [[nm] ~ r'] (m' : mem' nm t r r') => - m'.Hide [fn r => $r] (m'.Expose [fn r => $r] r -- nm ++ {nm = v})) - -fun fold [K] [tf :: ({K} -> Type)] [r ::: {K}] - (f : nm :: Name -> v :: K -> r' :: {K} -> [[nm] ~ r'] - => mem nm v r -> tf r' -> tf ([nm = v] ++ r')) - (i : tf []) (fl : folder r) = - @@Incl.fold [tf] [r] - (fn [nm :: Name] [v :: K] [r' :: {K}] [[nm] ~ r'] (i : Incl.incl ([nm = v] ++ r') r) acc => - f [nm] [v] [r'] ! (Incl.inv1 [nm] [v] [r'] [r] [mem] i mem) acc) - i fl diff --git a/lib/ur/mem.urs b/lib/ur/mem.urs deleted file mode 100644 index 78021823..00000000 --- a/lib/ur/mem.urs +++ /dev/null @@ -1,13 +0,0 @@ -con mem :: K --> Name -> K -> {K} -> Type - -val mem : K --> nm :: Name -> t :: K -> r :: {K} -> [[nm] ~ r] => mem nm t ([nm = t] ++ r) -val mp : K --> K2 --> f :: (K -> K2) -> nm ::: Name -> t ::: K -> r ::: {K} -> mem nm t r -> mem nm (f t) (map f r) - -val proj : nm ::: Name -> t ::: Type -> r ::: {Type} -> mem nm t r -> $r -> t -val replace : nm ::: Name -> t ::: Type -> r ::: {Type} -> mem nm t r -> $r -> t -> $r - -val fold : K --> tf :: ({K} -> Type) -> r ::: {K} - -> (nm :: Name -> v :: K -> r' :: {K} -> [[nm] ~ r'] - => mem nm v r -> tf r' -> tf ([nm = v] ++ r')) - -> tf [] - -> folder r -> tf r |