Updated courses after f20abd92eb
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10 changed files with 26 additions and 28 deletions
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@ -31,7 +31,7 @@ open Eq.≡-Reasoning using (begin_; _≡⟨⟩_; _≡⟨_⟩_; _∎)
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open import Data.Nat using (ℕ; zero; suc; _+_; _*_; _∸_; _≤_; z≤n; s≤s)
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open import Data.Nat.Properties using (+-assoc; +-identityʳ; +-suc; +-comm;
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≤-refl; ≤-trans; ≤-antisym; ≤-total; +-monoʳ-≤; +-monoˡ-≤; +-mono-≤)
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open import plfa.Relations using (_<_; z<s; s<s; zero; suc; even; odd)
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open import plfa.part1.Relations using (_<_; z<s; s<s; zero; suc; even; odd)
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```
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## Naturals
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@ -31,7 +31,6 @@ open Eq.≡-Reasoning using (begin_; _≡⟨⟩_; _≡⟨_⟩_; _∎)
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open import Data.Nat using (ℕ; zero; suc; _+_; _*_; _∸_; _≤_; z≤n; s≤s)
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open import Data.Nat.Properties using (+-assoc; +-identityʳ; +-suc; +-comm;
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≤-refl; ≤-trans; ≤-antisym; ≤-total; +-monoʳ-≤; +-monoˡ-≤; +-mono-≤)
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open import plfa.Relations using (_<_; z<s; s<s)
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open import Data.Product using (_×_; proj₁; proj₂) renaming (_,_ to ⟨_,_⟩)
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open import Data.Product using (Σ; ∃; Σ-syntax; ∃-syntax)
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open import Data.Unit using (⊤; tt)
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@ -47,10 +46,10 @@ open import Relation.Nullary.Negation using (contraposition)
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open import Relation.Unary using (Decidable)
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open import Function using (_∘_)
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open import Level using (Level)
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open import plfa.Relations using (_<_; z<s; s<s)
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open import plfa.Isomorphism using (_≃_; ≃-sym; ≃-trans; _≲_; extensionality)
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open plfa.Isomorphism.≃-Reasoning
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open import plfa.Lists using (List; []; _∷_; [_]; [_,_]; [_,_,_]; [_,_,_,_];
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open import plfa.part1.Relations using (_<_; z<s; s<s)
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open import plfa.part1.Isomorphism using (_≃_; ≃-sym; ≃-trans; _≲_; extensionality)
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open plfa.part1.Isomorphism.≃-Reasoning
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open import plfa.part1.Lists using (List; []; _∷_; [_]; [_,_]; [_,_,_]; [_,_,_,_];
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_++_; reverse; map; foldr; sum; All; Any; here; there; _∈_)
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```
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@ -39,13 +39,13 @@ open import Function using (_∘_)
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open import Algebra.Structures using (IsMonoid)
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open import Level using (Level)
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open import Relation.Unary using (Decidable)
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open import plfa.Relations using (_<_; z<s; s<s)
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open import plfa.Isomorphism using (_≃_; ≃-sym; ≃-trans; _≲_; extensionality)
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open plfa.Isomorphism.≃-Reasoning
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open import plfa.Lists using (List; []; _∷_; [_]; [_,_]; [_,_,_]; [_,_,_,_];
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open import plfa.part1.Relations using (_<_; z<s; s<s)
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open import plfa.part1.Isomorphism using (_≃_; ≃-sym; ≃-trans; _≲_; extensionality)
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open plfa.part1.Isomorphism.≃-Reasoning
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open import plfa.part1.Lists using (List; []; _∷_; [_]; [_,_]; [_,_,_]; [_,_,_,_];
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_++_; reverse; map; foldr; sum; All; Any; here; there; _∈_)
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open import plfa.Lambda hiding (ƛ′_⇒_; case′_[zero⇒_|suc_⇒_]; μ′_⇒_; plus′)
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open import plfa.Properties hiding (value?; unstuck; preserves; wttdgs)
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open import plfa.part2.Lambda hiding (ƛ′_⇒_; case′_[zero⇒_|suc_⇒_]; μ′_⇒_; plus′)
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open import plfa.part2.Properties hiding (value?; unstuck; preserves; wttdgs)
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```
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## Lambda
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@ -54,7 +54,7 @@ module DeBruijn where
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Remember to indent all code by two spaces.
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```
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open import plfa.DeBruijn
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open import plfa.part2.DeBruijn
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```
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@ -55,7 +55,7 @@ Remember to indent all code by two spaces.
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### Imports
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```
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import plfa.More as DB
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import plfa.part2.More as DB
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```
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### Syntax
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@ -34,7 +34,7 @@ open Eq.≡-Reasoning using (begin_; _≡⟨⟩_; _≡⟨_⟩_; _∎)
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open import Data.Nat using (ℕ; zero; suc; _+_; _*_; _∸_; _≤_; z≤n; s≤s)
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open import Data.Nat.Properties using (+-assoc; +-identityʳ; +-suc; +-comm;
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≤-refl; ≤-trans; ≤-antisym; ≤-total; +-monoʳ-≤; +-monoˡ-≤; +-mono-≤)
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open import plfa.Relations using (_<_; z<s; s<s; zero; suc; even; odd)
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open import plfa.part1.Relations using (_<_; z<s; s<s; zero; suc; even; odd)
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```
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## Naturals
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@ -34,7 +34,6 @@ open Eq.≡-Reasoning using (begin_; _≡⟨⟩_; _≡⟨_⟩_; _∎)
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open import Data.Nat using (ℕ; zero; suc; _+_; _*_; _∸_; _≤_; z≤n; s≤s)
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open import Data.Nat.Properties using (+-assoc; +-identityʳ; +-suc; +-comm;
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≤-refl; ≤-trans; ≤-antisym; ≤-total; +-monoʳ-≤; +-monoˡ-≤; +-mono-≤)
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open import plfa.Relations using (_<_; z<s; s<s)
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open import Data.Product using (_×_; proj₁; proj₂) renaming (_,_ to ⟨_,_⟩)
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open import Data.Unit using (⊤; tt)
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open import Data.Sum using (_⊎_; inj₁; inj₂) renaming ([_,_] to case-⊎)
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@ -47,9 +46,9 @@ open import Relation.Nullary.Product using (_×-dec_)
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open import Relation.Nullary.Sum using (_⊎-dec_)
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open import Relation.Nullary.Negation using (contraposition)
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open import Data.Product using (Σ; _,_; ∃; Σ-syntax; ∃-syntax)
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open import plfa.Relations using (_<_; z<s; s<s)
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open import plfa.Isomorphism using (_≃_; ≃-sym; ≃-trans; _≲_; extensionality)
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open plfa.Isomorphism.≃-Reasoning
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open import plfa.part1.Relations using (_<_; z<s; s<s)
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open import plfa.part1.Isomorphism using (_≃_; ≃-sym; ≃-trans; _≲_; extensionality)
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open plfa.part1.Isomorphism.≃-Reasoning
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```
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## Equality
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@ -42,13 +42,13 @@ open import Function using (_∘_)
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open import Algebra.Structures using (IsMonoid)
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open import Level using (Level)
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open import Relation.Unary using (Decidable)
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open import plfa.Relations using (_<_; z<s; s<s)
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open import plfa.Isomorphism using (_≃_; ≃-sym; ≃-trans; _≲_; extensionality)
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open plfa.Isomorphism.≃-Reasoning
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open import plfa.Lists using (List; []; _∷_; [_]; [_,_]; [_,_,_]; [_,_,_,_];
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open import plfa.part1.Relations using (_<_; z<s; s<s)
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open import plfa.part1.Isomorphism using (_≃_; ≃-sym; ≃-trans; _≲_; extensionality)
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open plfa.part1.Isomorphism.≃-Reasoning
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open import plfa.part1.Lists using (List; []; _∷_; [_]; [_,_]; [_,_,_]; [_,_,_,_];
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_++_; reverse; map; foldr; sum; All; Any; here; there; _∈_)
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open import plfa.Lambda hiding (ƛ′_⇒_; case′_[zero⇒_|suc_⇒_]; μ′_⇒_; plus′)
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open import plfa.Properties hiding (value?; unstuck; preserves; wttdgs)
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open import plfa.part2.Lambda hiding (ƛ′_⇒_; case′_[zero⇒_|suc_⇒_]; μ′_⇒_; plus′)
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open import plfa.part2.Properties hiding (value?; unstuck; preserves; wttdgs)
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```
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#### Exercise `reverse-++-commute` (recommended)
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@ -57,7 +57,7 @@ module DeBruijn where
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Remember to indent all code by two spaces.
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```
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open import plfa.DeBruijn
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open import plfa.part2.DeBruijn
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```
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@ -770,7 +770,7 @@ Remember to indent all code by two spaces.
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### Imports
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```
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import plfa.More as DB
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import plfa.part2.More as DB
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```
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### Syntax
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@ -398,7 +398,7 @@ module Problem3 where
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### Imports
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```
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import plfa.DeBruijn as DB
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import plfa.part2.DeBruijn as DB
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```
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### Syntax
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