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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------------------------------------------------------------------------
-- The Agda standard library
--
-- Monad syntax for the TC monad
------------------------------------------------------------------------
 
{-# OPTIONS --cubical-compatible --safe #-}
 
module Reflection.TCM.Syntax where
 
open import Agda.Builtin.Reflection
open import Level using (Level)
 
private
variable
a b : Level
A : Set a
B : Set b
 
------------------------------------------------------------------------
-- Monad syntax
 
infixl 3 _<|>_
_<|>_ : TC A → TC A → TC A
_<|>_ = catchTC
{-# INLINE _<|>_ #-}
 
infixl 1 _>>=_ _>>_ _<&>_
_>>=_ : TC A → (A → TC B) → TC B
_>>=_ = bindTC
{-# INLINE _>>=_ #-}
 
_>>_ : TC A → TC B → TC B
xs >> ys = bindTC xs (λ _ → ys)
{-# INLINE _>>_ #-}
 
infixl 4 _<$>_ _<*>_ _<$_
_<*>_ : TC (A → B) → TC A → TC B
fs <*> xs = bindTC fs (λ f → bindTC xs (λ x → returnTC (f x)))
{-# INLINE _<*>_ #-}
 
_<$>_ : (A → B) → TC A → TC B
f <$> xs = bindTC xs (λ x → returnTC (f x))
{-# INLINE _<$>_ #-}
 
_<$_ : A → TC B → TC A
x <$ xs = bindTC xs (λ _ → returnTC x)
{-# INLINE _<$_ #-}
 
_<&>_ : TC A → (A → B) → TC B
xs <&> f = bindTC xs (λ x → returnTC (f x))
{-# INLINE _<&>_ #-}