Modules

categorical-crypto

  • Prelude

CategoricalCrypto

  • CategoricalCrypto
  • Abstract
  • Abstract2
  • Abstract2.Equivalence
  • Abstract2.Morphism
  • Abstract2.OAPEmulation
  • Abstract2.WideSubcategory
  • Channel.Category
  • Channel.Core
  • Channel.Selection
  • Examples.Basic
  • Examples.Commitment
  • Examples.RelSetup
  • Examples.Signatures
  • FamilyCategory
  • Machine.Constraints
  • Machine.Core
  • MachineAxioms
  • RandomOracle
  • RandomOracle2
  • SFunM
  • Standard
  • Standard2
  • Standard2.Morphism
  • StandardTV
  • UCSetup
  • UCSetup.Morphism
  • VanishingTV

Categories

  • Actegory
  • Actegory.Underlying
  • Category.EquivClosureHelper
  • Coherence.Monoidal
  • Coherence.Monoidal.Compare
  • Coherence.Monoidal.Diagram
  • Coherence.Monoidal.Frontend
  • Coherence.Monoidal.Frontend.Core
  • Coherence.Monoidal.Frontend.Sigma
  • Coherence.Monoidal.MacLane
  • Coherence.Monoidal.Normalize
  • Coherence.Monoidal.Reflect
  • Coherence.Monoidal.Sigma
  • Coherence.Monoidal.Test.Frontend
  • Coherence.Monoidal.Test.InterchangeStress
  • Coherence.Monoidal.Test.Limitations
  • Coherence.Monoidal.Test.SigmaFrontend
  • Coherence.Monoidal.WireCoherence
  • CoherenceIsos
  • Diagram.Coend.Ext.Setoids
  • Discrete
  • FreeMonoidal
  • FreeStrictMonoidal
  • Functor.Monoidal.CurriedTensor
  • Functor.Monoidal.CurriedTensor.Properties
  • Functor.Monoidal.Properties.Ext
  • Functor.Presheaf.Morphism
  • GradedKleisli
  • GradedKleisli.Functorial
  • GradedKleisli.Functorial.Category
  • GradedKleisli.Regrade
  • KernelCongruence
  • KernelCongruence.Reindex
  • LocallyGraded
  • LocallyGraded.FreeActegory
  • LocallyGraded.FreeActegory.Kleisli
  • LocallyGraded.Kleisli
  • Monad.Graded.Ext
  • Monad.Graded.Morphism
  • Monad.Graded.Pullback
  • Monad.Graded.Uncurried
  • Morphism.Reasoning.Ext
  • NaturalTransformationHelper
  • Properties

Class

  • Monad.Ext

Data

  • List.Properties.Ext
  • Maybe.Ext
  • Nat.Poly

LibExt

  • LibExt
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{-# OPTIONS --safe --without-K #-}
 
module Meta.Prelude where
 
-- ** stdlib re-exports
open import Level public
renaming (_⊔_ to _⊔ˡ_; suc to sucˡ; zero to zeroˡ)
variable
ℓ ℓ′ ℓ″ : Level
A B C D : Set ℓ
 
open import Data.Bool public
hiding (_≟_; _≤_; _≤?_; _<_; _<?_)
open import Data.Empty public
open import Data.List public
hiding (align; alignWith; fromMaybe; map; zip; zipWith)
open import Data.Maybe public
hiding (_>>=_; ap; align; alignWith; fromMaybe; map; zip; zipWith)
open import Data.Unit public
hiding (_≟_)
open import Data.Sum public
hiding (assocʳ; assocˡ; map; map₁; map₂; reduce; swap)
open import Data.Product public
hiding (assocʳ; assocˡ; map; map₁; map₂; swap; zip; zipWith; _<*>_)
open import Data.Nat public
hiding (_≟_; _≤_; _≤?_; _<_; _<?_; _≤ᵇ_; _≡ᵇ_)
open import Data.String public
using (String; _<+>_)
 
open import Function public
open import Relation.Nullary public
using (Dec; yes; no)
open import Relation.Binary.PropositionalEquality public
hiding (preorder; setoid; [_]; module ≡-Reasoning; decSetoid)
 
-- ** helper funs
lookupᵇ : (A → A → Bool) → List (A × B) → A → Maybe B
lookupᵇ f [] n = nothing
lookupᵇ f ((k , v) ∷ l) n = if f k n then just v else lookupᵇ f l n
 
zipWithIndex : (ℕ → A → B) → List A → List B
zipWithIndex f l = zipWith f (upTo $ length l) l
where open import Data.Fin; open import Data.List
 
enumerate : List A → List (ℕ × A)
enumerate = zipWithIndex _,_
 
_⁉_ : List A → ℕ → Maybe A
_⁉_ = λ where
[] _ → nothing
(x ∷ _) zero → just x
(_ ∷ xs) (suc n) → xs ⁉ n