agda-spa/Main.agda
2024-03-01 21:58:58 -08:00

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Agda
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module Main where
open import IO
open import Level
open import Data.Nat.Show using (show)
open import Data.List using (List; _∷_; [])
open import Data.String using (String) renaming (_≟_ to _≟ˢ_)
open import Data.Unit using (; tt) renaming (_≟_ to _≟ᵘ_)
open import Data.List.Relation.Unary.All using (_∷_; [])
open import Relation.Binary.PropositionalEquality as Eq using (_≡_; sym; subst; refl; trans)
open import Relation.Nullary using (¬_)
open import Utils using (Unique; push; empty)
xyzw : List String
xyzw = "x" "y" "z" "w" []
xyzw-Unique : Unique xyzw
xyzw-Unique = push ((λ ()) (λ ()) (λ ()) []) (push ((λ ()) (λ ()) []) (push ((λ ()) []) (push [] empty)))
open import Lattice using (IsFiniteHeightLattice; FiniteHeightLattice)
open import Lattice.AboveBelow _≡_ (record { ≈-refl = refl; ≈-sym = sym; ≈-trans = trans }) _≟ᵘ_ as AB renaming (≈-dec to ≈ᵘ-dec)
open AB.Plain renaming (finiteHeightLattice to finiteHeightLatticeᵘ)
open import Lattice.Bundles.FiniteValueMap String AB.AboveBelow _≟ˢ_ renaming (finiteHeightLattice to finiteHeightLatticeᵐ)
fhlᵘ = finiteHeightLatticeᵘ (Data.Unit.tt)
fhlⁱᵖ = finiteHeightLatticeᵐ fhlᵘ xyzw-Unique ≈ᵘ-dec
main = run {0} (putStrLn (show (FiniteHeightLattice.height fhlⁱᵖ)))