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author | Greg Brown <greg.brown@cl.cam.ac.uk> | 2022-03-08 18:49:39 +0000 |
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committer | Greg Brown <greg.brown@cl.cam.ac.uk> | 2022-03-08 18:49:39 +0000 |
commit | 69b82b0f568dd840f05f6aa9902ee6dcd5df5cad (patch) | |
tree | 11ba0964073cdb5f8de8bc1689f0e53eb21879a2 /src/Helium/Semantics/Axiomatic/Core.agda | |
parent | c32c75ab3d5628163a4ece83e38d85152bf9e189 (diff) |
Migrate to agda-stdlib-2.0-dev.axiomatic
Diffstat (limited to 'src/Helium/Semantics/Axiomatic/Core.agda')
-rw-r--r-- | src/Helium/Semantics/Axiomatic/Core.agda | 14 |
1 files changed, 0 insertions, 14 deletions
diff --git a/src/Helium/Semantics/Axiomatic/Core.agda b/src/Helium/Semantics/Axiomatic/Core.agda index 3b7e8db..dd03a55 100644 --- a/src/Helium/Semantics/Axiomatic/Core.agda +++ b/src/Helium/Semantics/Axiomatic/Core.agda @@ -69,17 +69,3 @@ Transform ts t = ⟦ ts ⟧ₜ′ → ⟦ t ⟧ₜ Predicate : Vec Type m → Set (b₁ ⊔ i₁ ⊔ r₁) Predicate ts = ⟦ ts ⟧ₜ′ → Bool - --- data HoareTriple {n Γ m Δ} : Assertion Σ {n} Γ {m} Δ → Statement Γ → Assertion Σ Γ Δ → Set (b₁ ⊔ i₁ ⊔ r₁) where --- _∙_ : ∀ {P Q R s₁ s₂} → HoareTriple P s₁ Q → HoareTriple Q s₂ R → HoareTriple P (s₁ ∙ s₂) R --- skip : ∀ {P} → HoareTriple P skip P - --- assign : ∀ {P t ref canAssign e} → HoareTriple (asrtSubst P (toWitness canAssign) (ℰ e)) (_≔_ {t = t} ref {canAssign} e) P --- declare : ∀ {t P Q e s} → HoareTriple (P ∧ equal (var 0F) (termWknVar (ℰ e))) s (asrtWknVar Q) → HoareTriple (asrtElimVar P (ℰ e)) (declare {t = t} e s) Q --- invoke : ∀ {m ts P Q s e} → HoareTriple (assignMetas Δ ts (All.tabulate var) (asrtAddVars P)) s (asrtAddVars Q) → HoareTriple (assignMetas Δ ts (All.tabulate (λ i → ℰ (All.lookup i e))) (asrtAddVars P)) (invoke {m = m} {ts} (s ∙end) e) (asrtAddVars Q) --- if : ∀ {P Q e s₁ s₂} → HoareTriple (P ∧ equal (ℰ e) (𝒦 (Bool.true ′b))) s₁ Q → HoareTriple (P ∧ equal (ℰ e) (𝒦 (Bool.false ′b))) s₂ Q → HoareTriple P (if e then s₁ else s₂) Q --- for : ∀ {m} {I : Assertion Σ Γ (fin (suc m) ∷ Δ)} {s} → HoareTriple (some (asrtWknVar (asrtWknMetaAt 1F I) ∧ equal (meta 1F) (var 0F) ∧ equal (meta 0F) (func (λ { _ (lift x ∷ []) → lift (Fin.inject₁ x) }) (meta 1F ∷ [])))) s (some (asrtWknVar (asrtWknMetaAt 1F I) ∧ equal (meta 0F) (func (λ { _ (lift x ∷ []) → lift (Fin.suc x) }) (meta 1F ∷ [])))) → HoareTriple (some (I ∧ equal (meta 0F) (func (λ _ _ → lift 0F) []))) (for m s) (some (I ∧ equal (meta 0F) (func (λ _ _ → lift (Fin.fromℕ m)) []))) - --- consequence : ∀ {P₁ P₂ Q₁ Q₂ s} → ⟦ P₁ ⟧ₐ ⊆ ⟦ P₂ ⟧ₐ → HoareTriple P₂ s Q₂ → ⟦ Q₂ ⟧ₐ ⊆ ⟦ Q₁ ⟧ₐ → HoareTriple P₁ s Q₁ --- some : ∀ {t P Q s} → HoareTriple P s Q → HoareTriple (some {t = t} P) s (some Q) --- frame : ∀ {P Q R s} → HoareTriple P s Q → HoareTriple (P * R) s (Q * R) |