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authorJames Yoo2022-10-24 23:47:51 +0000
committerJames Yoo2022-10-24 23:47:51 +0000
commit03315f012514bdcc5a4f654056f0103abe11eb83 (patch)
tree2b7c6e9233ecb503e7be0d8354483691f9a1e16c /entries/ionathanch/Fib.agda
parent0921d8222bb883ea86d51c7200a865a5e4dbc469 (diff)
parent7ed13a92711a35a9c263c1f53e33e308653ae727 (diff)
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+
+open import Agda.Builtin.Nat
+open import Agda.Builtin.List
+open import Agda.Builtin.Reflection
+
+data Fib : Nat → Nat → Set where
+ instance F0 : Fib 0 0
+ instance F1 : Fib 1 1
+ instance Fk : ∀ {k n m} → ⦃ Fib k n ⦄ → ⦃ Fib (suc k) m ⦄ → Fib (suc (suc k)) (n + m)
+
+fib' : ∀ k {n} → ⦃ Fib k n ⦄ → Nat
+fib' k {n} ⦃ fib ⦄ = n
+
+macro
+ fib : Term → Term → TC _
+ fib t hole = unify hole (def (quote fib') (arg i t ∷ []))
+ where i = arg-info visible (modality relevant quantity-ω)
+
+{- Get the [n]th Fibonacci number by normalization via C-n `fib [n]`. -}