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author | James Yoo | 2022-10-24 23:47:51 +0000 |
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committer | James Yoo | 2022-10-24 23:47:51 +0000 |
commit | 03315f012514bdcc5a4f654056f0103abe11eb83 (patch) | |
tree | 2b7c6e9233ecb503e7be0d8354483691f9a1e16c /entries/ionathanch/Fib.agda | |
parent | 0921d8222bb883ea86d51c7200a865a5e4dbc469 (diff) | |
parent | 7ed13a92711a35a9c263c1f53e33e308653ae727 (diff) |
Merging local with remote main
Diffstat (limited to 'entries/ionathanch/Fib.agda')
-rw-r--r-- | entries/ionathanch/Fib.agda | 19 |
1 files changed, 19 insertions, 0 deletions
diff --git a/entries/ionathanch/Fib.agda b/entries/ionathanch/Fib.agda new file mode 100644 index 0000000..a12b0a5 --- /dev/null +++ b/entries/ionathanch/Fib.agda @@ -0,0 +1,19 @@ + +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]`. -} |