blob: 4ed273914a26275d601582e0d422f6209026da65 (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
|
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] [[]])
|
