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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]`. -}