mirror of
https://github.com/Kindelia/Kind2.git
synced 2024-09-20 20:38:13 +03:00
26 lines
458 B
Agda
26 lines
458 B
Agda
data Nat : Set where
|
|
z : Nat
|
|
s : Nat -> Nat
|
|
|
|
data The : (x : Nat) -> Set where
|
|
val : (x : Nat) -> The x
|
|
|
|
add : Nat -> Nat -> Nat
|
|
add a (s b) = s (add a b)
|
|
add a z = a
|
|
|
|
mul : Nat -> Nat -> Nat
|
|
mul a (s b) = add a (mul a b)
|
|
mul a z = z
|
|
|
|
exp : Nat -> Nat -> Nat
|
|
exp a (s b) = mul a (exp a b)
|
|
exp a z = s z
|
|
|
|
nul : Nat -> Nat
|
|
nul (s a) = (nul a)
|
|
nul z = z
|
|
|
|
work : The (nul (exp (s (s (s z))) (s (s (s (s (s (s (s (s z))))))))))
|
|
work = val z
|