From 6c38ac0a45abdf07184ba7aa6cb698959b970c81 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Pierre-=C3=89variste=20Dagand?=
 <pierre-evariste.dagand@lip6.fr>
Date: Tue, 22 Jan 2019 16:03:44 +0100
Subject: [PATCH] Update for Agda 2.5.4.1 / stdlib 0.17

---
 agda/.dir-locals.el                 |   4 +++
 agda/00-agda/Warmup.lagda.rst       |  10 +++---
 agda/01-effectful/Monad.lagda.rst   |   2 +-
 agda/02-dependent/Indexed.lagda.rst |   2 +-
 agda/03-total/Recursion.lagda.rst   |  29 ++++++++--------
 agda/04-generic/Desc.lagda.rst      |  49 +++++++++++++++++++---------
 slides/pedagand-01.pdf              | Bin 139743 -> 144497 bytes
 slides/pedagand-02.pdf              | Bin 163515 -> 170256 bytes
 slides/pedagand-03.pdf              | Bin 161620 -> 166484 bytes
 slides/pedagand-04.pdf              | Bin 153589 -> 159886 bytes
 slides/pedagand-05.pdf              | Bin 92907 -> 97477 bytes
 11 files changed, 60 insertions(+), 36 deletions(-)
 create mode 100644 agda/.dir-locals.el

diff --git a/agda/.dir-locals.el b/agda/.dir-locals.el
new file mode 100644
index 0000000..f4e5eff
--- /dev/null
+++ b/agda/.dir-locals.el
@@ -0,0 +1,4 @@
+;; Work around restriction on literate agda vs. holes (issue #2836)
+((nil . ((eval . (eval-after-load "agda2" 
+                   '(defun agda2-literate-p () "" 
+                           (equal (file-name-extension (buffer-file-name)) "lagda")))))))
diff --git a/agda/00-agda/Warmup.lagda.rst b/agda/00-agda/Warmup.lagda.rst
index 5c91486..6c170ff 100644
--- a/agda/00-agda/Warmup.lagda.rst
+++ b/agda/00-agda/Warmup.lagda.rst
@@ -9,7 +9,7 @@ Warming up
 
 Cheatsheets:
   - `Install Agda`_
-  - `Retrieve the Agda Standard Library <https://github.com/agda/agda-stdlib/archive/v0.14.tar.gz>`_
+  - `Retrieve the Agda Standard Library <https://github.com/agda/agda-stdlib/archive/v0.17.tar.gz>`_
   - `Setup the Standard Library`_
   - Get used to the `Emacs mode`_
   - RTF `Agda Manual`_ if necessary
@@ -69,10 +69,10 @@ to begin your exploration with a bird-eye view of the project.
 
 .. References:
 
-.. _`Install Agda`: http://agda.readthedocs.io/en/v2.5.3/getting-started/installation.html
-.. _`Setup the Standard Library`: http://agda.readthedocs.io/en/v2.5.2/tools/package-system.html#example-using-the-standard-library
-.. _`Emacs mode`: http://agda.readthedocs.io/en/latest/tools/emacs-mode.html
-.. _`Agda manual`: https://agda.readthedocs.io/en/v2.5.3/
+.. _`Install Agda`: https://agda.readthedocs.io/en/v2.5.4.1/getting-started/installation.html
+.. _`Setup the Standard Library`: https://agda.readthedocs.io/en/v2.5.4.1/tools/package-system.html#example-using-the-standard-library
+.. _`Emacs mode`: http://agda.readthedocs.io/en/v2.5.4.1/tools/emacs-mode.html
+.. _`Agda manual`: https://agda.readthedocs.io/en/v2.5.4.1/
 .. _`Evolution of a Typechecker`: https://github.com/pedagand/typechecker-evolution
 .. TODO: any other useful resources for setting things up?
 
diff --git a/agda/01-effectful/Monad.lagda.rst b/agda/01-effectful/Monad.lagda.rst
index 0322071..a82883e 100644
--- a/agda/01-effectful/Monad.lagda.rst
+++ b/agda/01-effectful/Monad.lagda.rst
@@ -87,7 +87,7 @@ Nowadays:
   open import Data.Unit hiding (setoid ; _≟_)
   open import Data.Nat renaming (_*_ to _*â„•_)
   open import Data.Nat.DivMod
-  open import Data.Fin hiding (_+_ ; raise ; _-_)
+  open import Data.Fin hiding (_+_ ; raise ; _-_ ; _≟_)
   open import Data.Product
 
   open import Function
diff --git a/agda/02-dependent/Indexed.lagda.rst b/agda/02-dependent/Indexed.lagda.rst
index 36a7fed..037933b 100644
--- a/agda/02-dependent/Indexed.lagda.rst
+++ b/agda/02-dependent/Indexed.lagda.rst
@@ -9,7 +9,7 @@
   open import Data.Nat hiding (_*_ ; _≤_)
   open import Data.Maybe
   open import Data.Product
-  open import Data.List hiding (_++_)
+  open import Data.List hiding (_++_ ; tail ; lookup)
   open import Data.String
 
   open import Function hiding (id ; const)
diff --git a/agda/03-total/Recursion.lagda.rst b/agda/03-total/Recursion.lagda.rst
index a729197..7b5d539 100644
--- a/agda/03-total/Recursion.lagda.rst
+++ b/agda/03-total/Recursion.lagda.rst
@@ -7,7 +7,8 @@
   open import Data.Empty
   open import Data.Unit hiding (_≤_ ; _≤?_)
   open import Data.Bool
-  open import Data.Maybe hiding (map) renaming (monad to monad-Maybe)
+  open import Data.Maybe hiding (map)
+  import Data.Maybe.Categorical
   open import Data.Product hiding (map)
   open import Data.Sum hiding (map)
   open import Data.Nat
@@ -80,7 +81,7 @@ First-order Unification
 
     open import Data.Maybe
     open import Category.Monad
-    open RawMonadZero {0â„“} Data.Maybe.monadZero
+    open RawMonadZero {Level.zero} Data.Maybe.Categorical.monadZero
 
 
 In this first example, we set out to implement first-order
@@ -286,7 +287,7 @@ Structurally: terms
   module Unif where
 
     open import Category.Monad
-    open RawMonadZero {0â„“} Data.Maybe.monadZero
+    open RawMonadZero {Level.zero} Data.Maybe.Categorical.monadZero
 
 As it stands, we will have a hard time convincing Agda that this
 implementation is indeed terminating: the terms grow as substitutions
@@ -523,16 +524,16 @@ is able to spot it::
 
     flex-flex {zero} ()
     flex-flex {suc _} x y with x Δ y
-    ... | just y' = , id ∷[ var y' / x ]
-    ... | nothing = , id
+    ... | just y' = -, id ∷[ var y' / x ]
+    ... | nothing = -, id
 
     flex-rigid {0} ()
     flex-rigid {suc _} x t = check x t >>= λ t' →
-                             return (, id ∷[ t' / x ])
+                             return (-, id ∷[ t' / x ])
    
 
     mgu : ∀ {m} → (s t : Term m) → Maybe (∃ (Subst m))
-    mgu s t = amgu s t (, id)
+    mgu s t = amgu s t (-, id)
 
 
 The key idea was thus to reify the (decreasing) *measure* as an
@@ -728,7 +729,7 @@ obvious (to us, not to Agda)::
       _/_[_]⊢_ : ∀ {n l} → Vec (Formula n) l → Context n → Formula n → A → Bool
       search : ∀ {n} → Context n → A → Bool
 
-      B / Γ      ⊢ Atom α      = search ((, B) , Γ) α
+      B / Γ      ⊢ Atom α      = search ((-, B) , Γ) α
       B / B₂ , Γ ⊢ P ⊃ Q       = B / B₂ , Γ ▹C P  ⊢ Q
 
       B / Γ [ Atom α ]⊢ β      = ⌊ α ≟ β ⌋
@@ -772,7 +773,7 @@ definitions on ``Formulas``::
                 B / Γ [ Atom α ]⊢ β = ⌊ α ≟ β ⌋
                 B / Γ [ _⊃_ {n} P Q  ]⊢ β = B / Γ [ Q ]⊢ β ∧ B / Γ ⊢ P
                   where  _/_⊢_ : Vec (Formula (suc n)) (pred l) → Context (suc n) → Formula n → Bool
-                         B / Γ ⊢ Atom α = search ((, B) , Γ) α
+                         B / Γ ⊢ Atom α = search ((-, B) , Γ) α
                          B / B' , Γ ⊢ P ⊃ Q  = B / B' , Γ ▹C P  ⊢ Q
 
       _⊢_ : ∀ {n} → Context n → Formula n → Bool
@@ -1147,7 +1148,7 @@ Interpretation: immediate values
   ::
   module Fuel (A : Set)(B : A → Set) where
     open RecMonad A B
-    open Morphism Maybe monad-Maybe A B
+    open Morphism Maybe Data.Maybe.Categorical.monad A B
     open Identity A B
 
 We may blankly refuse to iterate::
@@ -1318,7 +1319,7 @@ simply have to prove that ``DomGCD`` is inhabited for any input
 numbers m and n (the proof is not really important)::
 
   gcd-wf : (m n : ℕ) → DomGCD (m , n)
-  gcd-wf m n = build ([_⊗_] IndNat.<-rec-builder IndNat.<-rec-builder) 
+  gcd-wf m n = build ([_⊗_] IndNat.<-recBuilder IndNat.<-recBuilder) 
                    (λ { (m , n) → DomGCD (m , n) }) 
                    (λ { (m , n) rec → con (ih m n rec) })
                    (m , n)
@@ -1326,8 +1327,10 @@ numbers m and n (the proof is not really important)::
                ih zero y rec = tt
                ih (suc x) zero rec = tt
                ih (suc x) (suc y) rec with x ≤? y 
-               ih (suc x) (suc y) (rec-x , rec-y) | yes p = (rec-x (y ∸ x) (s≤′s (≤⇒≤′ (n∸m≤n x y)))) , (λ _ → tt)
-               ih (suc x) (suc y) (rec-x , rec-y) | no ¬p = rec-y ((x ∸ y)) ((s≤′s (≤⇒≤′ (n∸m≤n y x)))) (suc y) , (λ _ → tt)
+               ih (suc x) (suc y) (rec-x , rec-y) 
+                 | yes p = rec-x (y ∸ x) (s≤s (n∸m≤n x y)) , λ _ → tt
+               ih (suc x) (suc y) (rec-x , rec-y) 
+                 | no ¬p = rec-y ((x ∸ y)) (s≤s (n∸m≤n y x)) (suc y) , λ _ → tt
 
 And we get the desired gcd function::
 
diff --git a/agda/04-generic/Desc.lagda.rst b/agda/04-generic/Desc.lagda.rst
index 43101a9..5c9b603 100644
--- a/agda/04-generic/Desc.lagda.rst
+++ b/agda/04-generic/Desc.lagda.rst
@@ -54,7 +54,8 @@ Extensional Generic Programming
     open import Data.Product hiding (map)
     open import Data.Nat
     open import Data.Fin hiding (_+_)
-    open import Data.List hiding (map ; replicate ; zipWith ; foldr ; sum ; sequence)
+    open import Data.List
+      hiding (map ; replicate ; zipWith ; foldr ; sum ; lookup ; tabulate)
 
     open import Relation.Binary.PropositionalEquality
 
@@ -154,8 +155,7 @@ manner:
                                (4 ∷ 9 ∷ 15 ∷ []) ∷ [])))
 
 Or "per column", using the *reranking* operator ```¹``, which amounts
-to pre- and post-compositing the desired operation with a
-transposition:
+to pre- and post-composing the desired operation with a transposition:
 
  .. code-block:: agda
 
@@ -241,6 +241,7 @@ Another (arbitrary) example of functor is the following::
 **Exercise (difficulty: 1)** Show that lists define a functor.
 
 
+
 --------------------------------
 Applicative
 --------------------------------
@@ -360,10 +361,11 @@ Lecture 1) is an applicative::
                                           let (x , s'') = xs s' in 
                                           f x , s''
 
-.. TODO: write the instances above (<$>, pure and ⊛) using the monadic operations
 
 **Exercise (difficulty: 1)** Write a program that takes a monad (specified with ``return`` and ``>>=``) and produces its underlying applicative.
 
+
+
 --------------------------------
 Naperian
 --------------------------------
@@ -383,10 +385,10 @@ n-elements vectors::
                  (4 ∷ 5 ∷ 6 ∷ []) ∷ []
   
 
-To implement transposition (and, therefore, reranking), we need to
-access to be able to *index* into a vector (say, "get the value on row
-``i`` and column ``j``") as well as to be able to *create* a vector as
-a function from its indices (say, "define the matrix of value ``f(i,
+To implement transposition (and, therefore, reranking), we need to be
+able to *index* into a vector (say, "get the value on row ``i`` and
+column ``j``") as well as to be able to *create* a vector as a
+function from its indices (say, "define the matrix of value ``f(i,
 j)`` at row ``i`` and column ``j``). The first corresponds to a lookup
 while the second corresponds to a tabulation::
 
@@ -424,7 +426,7 @@ An applicative functor such that there exists a set ``Log`` supporting
         Log : Set
         lookup : ∀ {A} → F A → (Log → A)
         tabulate : ∀ {A} → (Log → A) → F A
-        overlap {{super}} : Applicative F
+        overlap {{super}} : Functor F
   
       positions : F Log
       positions = tabulate λ ix → ix
@@ -440,6 +442,9 @@ An applicative functor such that there exists a set ``Log`` supporting
 .. TODO: add `comonad instance <https://stackoverflow.com/questions/12963733/writing-cojoin-or-cobind-for-n-dimensional-grid-type/13100857#13100857>`_
 
 
+
+
+
 **Exercise (difficulty: 2)** State the Naperian laws and prove them
 for vectors.
 
@@ -453,6 +458,7 @@ Pairs are Naperian too::
       tabulate {{PairNaperian}} f = P (f true) (f false)
 
 
+
 Given any pair of Naperian functors, transposition is expressed as
 swapping the composition of structures::
 
@@ -500,6 +506,7 @@ structure of a given set::
     open Monoid ⦃...⦄
 
 
+
 Famous monoids include ``(â„•, 0, _+_)`` and ``(List A, [], _++_)``
 (also called the free monoid)::
 
@@ -586,6 +593,7 @@ A functor offering such an iterator is said to be `foldable
       VecFoldable : ∀ {n} → Foldable (λ A → Vec A n)
       foldMap {{VecFoldable}} = foldMap-Vec
     
+
 Pairs are foldable too::
 
     instance
@@ -660,6 +668,7 @@ A functor offering such an iterator is said to be `traversable
       traverse {{VectorTraversable}} f [] = pure []
       traverse {{VectorTraversable}} f (x ∷ v) = _∷_ <$> f x ⊛ traverse f v
 
+
 Surprise, pairs are traversable too::
 
     instance
@@ -696,8 +705,10 @@ to be both traversable (ie. support effectful iteration) and naperian
 
     record Dimension (F : Set → Set) : Set₁ where
       field
-        overlap {{super₁}} : Traversable F
+        overlap {{super₁}} : Applicative F
         overlap {{superâ‚‚}} : Naperian F
+        overlap {{super₃}} : Traversable F
+
   
       size : ∀ {α} → F α → ℕ
       size as = length (toList as)
@@ -746,6 +757,9 @@ dimension::
       BVectorFoldable : ∀ {n} → Foldable (bvector n)
       BVectorFoldable = {!!}
   
+      BVectorApplicative : ∀ {n} → Applicative (bvector n)
+      BVectorApplicative = {!!}
+
       BVectorNaperian : ∀ {n} → Naperian (bvector n)
       BVectorNaperian = {!!}
   
@@ -791,6 +805,9 @@ dimension::
   
         MFoldable : ∀ {r c} → Foldable (λ A → M A r c)
         MFoldable = {!!}
+
+        MApplicative : ∀ {r c} → Applicative (λ A → M A r c)
+        MApplicative = {!!}
   
         MNaperian : ∀ {r c} → Naperian (λ A → M A r c)
         MNaperian = {!!}
@@ -809,7 +826,7 @@ defined by ``MDimension`` is equivalent to the following function::
     toNat (B l r)  = toNat l + toNat r
 
 
-Programming solely with the structured offered by dimensions, we can
+Programming solely with the structure offered by dimensions, we can
 implement a generic inner product and matrix product::
 
     inner-product : ∀ {F} → {{_ : Dimension F}} → 
@@ -939,7 +956,7 @@ which is interpreted as-is in the monoid of endofunctor on ``Set``::
     Hyper [] A = Id A
     Hyper (F ∷ Fs) A = Seq F (Hyper Fs) A
 
-that is (but this would play nice with unification):
+that is (but this would not play nice with unification):
 
 .. code-block:: agda
 
@@ -1211,7 +1228,7 @@ Intensional Generic Programming
     open import Data.Bool
     open import Data.Product hiding (map)
     open import Data.Sum hiding (map)
-    open import Data.Nat hiding (fold)
+    open import Data.Nat
     open import Data.Fin renaming (suc to sucF) hiding (fold)
     open import Data.Vec hiding (map)
 
@@ -1290,7 +1307,7 @@ of two functors to be a functor. Implement composition of descriptions::
 
       correctness-∘ : ∀ {X D₁ D₂} → ⟦ D₁ ∘D D₂ ⟧ X ≡ ⟦ D₁ ⟧ (⟦ D₂ ⟧ X)
       correctness-∘ = {!!}
-        where postulate ext : Extensionality 0â„“ 0â„“
+        where postulate ext : Extensionality Level.zero Level.zero
 
 
 
@@ -1305,13 +1322,13 @@ and (generically) prove the functor laws::
 
     proof-map-id : ∀ {X} → (D : Desc)(v : ⟦ D ⟧ X) → map D id v ≡ v
     proof-map-id = {!!}
-      where postulate ext : Extensionality 0â„“ 0â„“
+      where postulate ext : Extensionality Level.zero Level.zero
 
     proof-map-compos : ∀ {X Y Z}{f : X → Y}{g : Y → Z} → 
                        (D : Desc)(v : ⟦ D ⟧ X) → 
                        map D (λ x → g (f x)) v ≡ map D g (map D f v)
     proof-map-compos = {!!}
-      where postulate ext : Extensionality 0â„“ 0â„“
+      where postulate ext : Extensionality Level.zero Level.zero
 
 
 
diff --git a/slides/pedagand-01.pdf b/slides/pedagand-01.pdf
index 39c4ec396f7fd62c130556f9b3f6e8ecb4aef4b3..c01aab196bc64ba97031c0603babcd768d88564e 100644
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diff --git a/slides/pedagand-02.pdf b/slides/pedagand-02.pdf
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diff --git a/slides/pedagand-03.pdf b/slides/pedagand-03.pdf
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diff --git a/slides/pedagand-04.pdf b/slides/pedagand-04.pdf
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diff --git a/slides/pedagand-05.pdf b/slides/pedagand-05.pdf
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