Prove that multi-statement evaluation "preserves" the validity of the analysis
Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
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@ -230,3 +230,8 @@ module WithProg (prog : Program) where
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k',l∈vs = updateVariablesFromExpression-k∉ks-backward k e {l = vs} k'∉[k] k',l∈vs'
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in
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⟦vs⟧ρ₁ k',l∈vs k',v'∈ρ₁
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updateVariablesFromStmt-fold-matches : ∀ {bss vs ρ₁ ρ₂} → ρ₁ , bss ⇒ᵇˢ ρ₂ → ⟦ vs ⟧ᵛ ρ₁ → ⟦ foldl (flip updateVariablesFromStmt) vs bss ⟧ᵛ ρ₂
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updateVariablesFromStmt-fold-matches [] ⟦vs⟧ρ = ⟦vs⟧ρ
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updateVariablesFromStmt-fold-matches {bs ∷ bss'} {vs} {ρ₁} {ρ₂} (ρ₁,bs⇒ρ ∷ ρ,bss'⇒ρ₂) ⟦vs⟧ρ₁ =
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updateVariablesFromStmt-fold-matches {bss'} {updateVariablesFromStmt bs vs} ρ,bss'⇒ρ₂ (updateVariablesFromStmt-matches ρ₁,bs⇒ρ ⟦vs⟧ρ₁)
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