mirror of
https://github.com/idris-lang/Idris2.git
synced 2024-12-22 11:13:36 +03:00
89 lines
3.4 KiB
Idris
89 lines
3.4 KiB
Idris
|
|
module Lambda
|
|
|
|
import NoRegression
|
|
|
|
%default total
|
|
|
|
data Ty = TyFunc Ty Ty | TyNat
|
|
|
|
data Context = Empty | Extend Context Ty
|
|
|
|
data Contains : Context -> Ty -> Type where
|
|
Here : Contains (Extend g ty) ty
|
|
There : (rest : Contains g ty)
|
|
-> Contains (Extend g not_ty) ty
|
|
|
|
data Term : Context -> Ty -> Type where
|
|
Var : (idx : Contains g ty)
|
|
-> Term g ty
|
|
|
|
Func : (body : Term (Extend g tyA) tyB)
|
|
-> Term g (TyFunc tyA tyB)
|
|
|
|
App : (func : Term g (TyFunc tyA tyB))
|
|
-> (var : Term g tyA)
|
|
-> Term g tyB
|
|
|
|
Zero : Term g TyNat
|
|
|
|
Next : (inner : Term g TyNat)
|
|
-> Term g TyNat
|
|
|
|
Case : (scrutinee : Term g TyNat)
|
|
-> (zero : Term g tyA)
|
|
-> (next : Term (Extend g TyNat) tyA)
|
|
-> Term g tyA
|
|
|
|
Plus : Term g TyNat
|
|
-> Term g TyNat
|
|
-> Term g TyNat
|
|
|
|
Rec : (body : Term (Extend g tyA) tyA)
|
|
-> Term g tyA
|
|
|
|
term : Term Empty
|
|
(TyFunc TyNat -- (Var Here) -
|
|
(TyFunc TyNat -- (Var (There Here)) -
|
|
(TyFunc TyNat -- (Var (There (There Here))) -
|
|
(TyFunc TyNat -- (Var (There (There (There Here)))) -
|
|
(TyFunc TyNat -- (Var (There (There (There (There Here))))) -
|
|
(TyFunc TyNat -- (Var (There (There (There (There (There Here)))))) -
|
|
(TyFunc TyNat -- (Var (There (There (There (There (There (There Here)))))))
|
|
TyNat
|
|
)
|
|
)
|
|
)
|
|
)
|
|
)
|
|
)
|
|
)
|
|
term =
|
|
Func
|
|
(Func
|
|
(Func
|
|
(Func
|
|
(Func
|
|
(Func
|
|
(Func
|
|
(Func (Plus (Var Here)
|
|
(Plus (Var (There Here))
|
|
(Plus (Var (There (There Here)))
|
|
(Plus (Var (There (There (There Here))))
|
|
(Plus (Var (There (There (There (There Here)))))
|
|
(Plus (Var (There (There (There (There (There Here))))))
|
|
(Var (There (There (There (There (There (There Here)))))))
|
|
)
|
|
)
|
|
)
|
|
)
|
|
)
|
|
)
|
|
)
|
|
)
|
|
)
|
|
)
|
|
)
|
|
)
|
|
)
|