blob: 32d617d281692e431a6bd481eb2639dc0829ffeb (
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
|
Monoid : Type -> Type
Monoid A = sig { zero : A; plus : A -> A -> A }
Additive : Type -> Type
Additive = Monoid
additive_Integer : Additive Integer
additive_Integer = rec { zero = 0; plus = prim_add_Int }
sum : (A:Type) -> Additive A -> List A -> A
sum _ d (Nil _) = d.zero
sum A d (Cons _ x xs) = d.plus x (sum A d xs)
Show : Type -> Type
Show A = sig { show : A -> String }
show : (A : Type) -> Show A -> A -> String
show _ rec{show = show} x = show x
Compos : (C : Type) -> (C -> Type) -> Type
Compos C T = sig
composOp : (c : C) -> ((d : C) -> T d -> T d) -> T c -> T c
composFold : (B : Type) -> Monoid B -> (c : C) -> ((d : C) -> T d -> b) -> T c -> b
composOp : (T : Type) -> (C : Type) -> Compos C T -> (c : C) -> ((d : C) -> T d -> T d) -> T c -> T c
composOp _ _ rec{composOp=composOp} c f t = composOp c f t
composFold : (T : Type) -> (C : Type) -> Compos C T -> (B : Type) -> Monoid B -> ((d : C) -> T d -> b) -> T c -> b
composFold _ _ rec{composFold=composFold} b m c f t = composFold b m c f t
|
