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https://git8.cs.fau.de/theses/bsc-leon-vatthauer.git
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🎨 moved unused files to /src/Misc
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10 changed files with 26 additions and 82 deletions
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.gitattributes
vendored
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.gitattributes
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*.lagda.md linguist-detectable=true
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Makefile
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Makefile
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@ -9,7 +9,7 @@ pandoc: public/*.md
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)
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agda: Everything.agda
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agda --html --html-dir=public index.lagda.md --html-highlight=auto -i.
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agda --html --html-dir=public src/index.lagda.md --html-highlight=auto -i.
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rm -f public/Agda.css
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cp Agda.css public/Agda.css
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@ -21,7 +21,7 @@ clean:
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# push compiled html to my cip directory
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push: all push'
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# just push without building
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# just push to CIP without rebuilding
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push':
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chmod +w public/Agda.css
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mv public bsc-thesis
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@ -29,7 +29,7 @@ push':
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mv bsc-thesis public
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Everything.agda:
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git ls-tree --full-tree -r --name-only HEAD | egrep '^src/[^\.]*.l?agda(\.md)?' | sed -e 's|^src/[/]*|import |' -e 's|/|.|g' -e 's/.agda//' -e '/import Everything/d' -e 's/..md//' | LC_COLLATE='C' sort > Everything.agda
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git ls-tree --full-tree -r --name-only HEAD | egrep '^src/[^\.]*.l?agda(\.md)?' | grep -v 'index.lagda.md' | sed -e 's|^src/[/]*|import |' -e 's|/|.|g' -e 's/.agda//' -e '/import Everything/d' -e 's/..md//' | LC_COLLATE='C' sort > Everything.agda
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open:
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firefox public/index.html
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@ -13,13 +13,16 @@ open import Categories.Functor.Coalgebra
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```
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-->
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## Note
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This is currently removed, it would be needed for Theorem 35, 2⇒3
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## Summary
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Some properties of elgot-algebras, namely:
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- Every elgot-algebra `(A, α : D₀ A ⇒ A)` satisfies `α (extend ι) ≈ α (D₁ π₁)` **[Lemma 32]**
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```agda
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module Algebra.Elgot.Properties {o ℓ e} (ambient : Ambient o ℓ e) where
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module Misc.Algebra.Elgot.Properties {o ℓ e} (ambient : Ambient o ℓ e) where
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open Ambient ambient
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open import Monad.Instance.Delay ambient using (DelayM)
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open import Algebra.ElgotAlgebra ambient
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@ -11,8 +11,10 @@ open import Categories.NaturalTransformation
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# Monads
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In this file we define some predicates like 'F extends to a monad'
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TODO: not needed without theorem 35
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```agda
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module Monad.Core {o ℓ e} (C : Category o ℓ e) where
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module Misc.IsMonad {o ℓ e} (C : Category o ℓ e) where
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record ExtendsToMonad (F : Endofunctor C) : Set (o ⊔ ℓ ⊔ e) where
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field
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η : NaturalTransformation idF F
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@ -1,5 +1,6 @@
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<!--
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```agda
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{-# OPTIONS --allow-unsolved-metas #-}
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open import Level
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open import Data.Product using (_,_)
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open import Category.Instance.AmbientCategory
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@ -13,10 +14,15 @@ import Monad.Instance.K as MIK
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```
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-->
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# Obsolete
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This module contains some facts that are no longer needed, since Theorem 27 is not needed, namely:
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- primitive recursion and induction for PNNO
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- pre-order on a restriction category
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- restrict operator
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```agda
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module Monad.Instance.K.PreElgot {o ℓ e} (ambient : Ambient o ℓ e) (MK : MIK.MonadK ambient) where
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module Misc.Kleene {o ℓ e} (ambient : Ambient o ℓ e) (MK : MIK.MonadK ambient) where
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open Ambient ambient
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open import Monad.Instance.K.Strong ambient MK
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open import Monad.Instance.K.Commutative ambient MK
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@ -17,7 +17,7 @@ open import Misc.FreeObject
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-->
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```agda
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module Monad.Instance.Delay.Properties {o ℓ e} (ambient : Ambient o ℓ e) where
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module Misc.Monad.Instance.Delay.Properties {o ℓ e} (ambient : Ambient o ℓ e) where
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open Ambient ambient
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open import Categories.Diagram.Coequalizer C
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open import Monad.Instance.Delay ambient
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@ -12,6 +12,8 @@ open import Categories.Functor
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## Summary
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This file introduces Elgot Monads.
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TODO: Probably only Pre-Elgot is needed
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- [X] *Definition 13* Pre-Elgot Monads
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- [ ] *Definition 13* strong pre-Elgot
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- [X] *Definition 14* Elgot Monads
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5
src/Monad/Instance/K/Compositionality.lagda.md
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5
src/Monad/Instance/K/Compositionality.lagda.md
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# TODO: every KX satisfies compositionality
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```agda
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module Monad.Instance.K.Compositionality where
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```
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@ -1,75 +0,0 @@
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{-# OPTIONS --guardedness #-}
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-- Take this example as motivation:
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-- https://stackoverflow.com/questions/21808186/agda-reading-a-line-of-standard-input-as-a-string-instead-of-a-costring
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open import Level
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open import Agda.Builtin.Coinduction
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module thesis.motivation where
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module old-delay where
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private
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variable
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a : Level
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data _⊥ (A : Set a) : Set a where
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now : A → A ⊥
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later : ∞ (A ⊥) → A ⊥
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never : ∀ {A : Set a} → A ⊥
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never = later (♯ never)
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module ReverseInput where
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open import Data.Char
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open import Data.Nat
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open import Data.List using (List; []; _∷_)
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open import Data.String
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open import Data.Unit.Polymorphic
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open import Codata.Musical.Costring
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open import Codata.Musical.Colist using ([]; _∷_)
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-- open import IO using (IO; seq; bind; return; Main; run; putStrLn)
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open import IO.Primitive
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open import IO.Primitive.Infinite using (getContents)
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open import Agda.Builtin.IO using ()
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open old-delay
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-- IDEA: start in haskell, then motivate in agda and define delay type
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-- next talk about bisimilarity.
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-- idea for slide title: dlrowolleh.hs and dlrowolleh.agda
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private
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variable
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a : Level
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-- reverse : Costring → String ⊥
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-- reverse = go []
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-- where
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-- go : List Char → Costring → String ⊥
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-- go acc [] = now (fromList acc)
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-- go acc (x ∷ xs) = later (♯ go (x ∷ acc) (♭ xs))
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-- putStrLn⊥ : String ⊥ → IO {a} ⊤
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-- putStrLn⊥ (now s) = putStrLn s
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-- putStrLn⊥ (later s) = seq (♯ return tt) (♯ putStrLn⊥ (♭ s))
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-- main : Main
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-- main = run (bind (♯ {! getContents !}) {! !}) --(λ c → ♯ putStrLn⊥ (reverse c)))
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-- NOTE: This is not very understandable... Better stick to the outdated syntax
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module delay where
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mutual
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data _⊥ (A : Set) : Set where
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now : A → A ⊥
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later : A ⊥' → A ⊥
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record _⊥' (A : Set) : Set where
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coinductive
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field
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force : A ⊥
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open _⊥'
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mutual
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never : ∀ {A : Set} → A ⊥
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never = later never'
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never' : ∀ {A : Set} → A ⊥'
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force never' = never
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