Danila Fedorin
5ac881559d
This helps automatically derive lattice laws for it Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com> Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
38 lines
979 B
Lean4
38 lines
979 B
Lean4
import Spa.Lattice.FiniteMap
|
||
import Spa.Lattice.AboveBelow
|
||
|
||
namespace Spa
|
||
|
||
class Showable (α : Type*) where
|
||
show' : α → String
|
||
|
||
export Showable (show')
|
||
|
||
instance : Showable String := ⟨fun s => "\"" ++ s ++ "\""⟩
|
||
|
||
instance : Showable ℕ := ⟨toString⟩
|
||
|
||
instance : Showable ℤ := ⟨toString⟩
|
||
|
||
instance {n : ℕ} : Showable (Fin n) := ⟨fun i => toString i.val⟩
|
||
|
||
instance {α β : Type*} [Showable α] [Showable β] : Showable (α × β) :=
|
||
⟨fun p => "(" ++ show' p.1 ++ ", " ++ show' p.2 ++ ")"⟩
|
||
|
||
instance : Showable PUnit := ⟨fun _ => "()"⟩
|
||
|
||
instance {α : Type*} [Showable α] : Showable (AboveBelow α) :=
|
||
⟨fun
|
||
| .bot => "⊥"
|
||
| .top => "⊤"
|
||
| .mk x => show' x⟩
|
||
|
||
instance {α β : Type*} {ks : List α} [Showable α] [Showable β] :
|
||
Showable (FiniteMap α β ks) :=
|
||
⟨fun fm =>
|
||
"{" ++ (FiniteMap.toList fm).foldr
|
||
(fun p rest => show' p.1 ++ " ↦ " ++ show' p.2 ++ ", " ++ rest) ""
|
||
++ "}"⟩
|
||
|
||
end Spa
|