{- This second-order signature was created from the following second-order syntax description: syntax Group | G type * : 0-ary term unit : * | ε add : * * -> * | _⊕_ l20 neg : * -> * | ⊖_ r40 theory (εU⊕ᴸ) a |> add (unit, a) = a (εU⊕ᴿ) a |> add (a, unit) = a (⊕A) a b c |> add (add(a, b), c) = add (a, add(b, c)) (⊖N⊕ᴸ) a |> add (neg (a), a) = unit (⊖N⊕ᴿ) a |> add (a, neg (a)) = unit -} module Group.Signature where open import SOAS.Context open import SOAS.Common open import SOAS.Syntax.Signature *T public open import SOAS.Syntax.Build *T public -- Operator symbols data Gₒ : Set where unitₒ addₒ negₒ : Gₒ -- Term signature G:Sig : Signature Gₒ G:Sig = sig λ { unitₒ → ⟼₀ * ; addₒ → (⊢₀ *) , (⊢₀ *) ⟼₂ * ; negₒ → (⊢₀ *) ⟼₁ * } open Signature G:Sig public