27 lines
919 B
Lean4
27 lines
919 B
Lean4
import Spa.Analysis.Forward.Lattices
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namespace Spa
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variable (L : Type) [Lattice L] (prog : Program)
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class StmtEvaluator where
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eval : prog.State → BasicStmt → VariableValues L prog → VariableValues L prog
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eval_mono : ∀ s bs, Monotone (eval s bs)
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class ExprEvaluator where
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eval : Expr → VariableValues L prog → L
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eval_mono : ∀ e, Monotone (eval e)
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class ValidExprEvaluator [ExprEvaluator L prog] [I : LatticeInterpretation L] :
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Prop where
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valid : ∀ {vs : VariableValues L prog} {ρ : Env} {e : Expr} {v : Value},
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EvalExpr ρ e v → ⟦ vs ⟧ ρ → I.interp (ExprEvaluator.eval e vs) v
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class ValidStmtEvaluator [E : StmtEvaluator L prog] [LatticeInterpretation L] :
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Prop where
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valid : ∀ {s : prog.State} {vs : VariableValues L prog} {ρ₁ ρ₂ : Env}
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{bs : BasicStmt},
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EvalBasicStmt ρ₁ bs ρ₂ → ⟦ vs ⟧ ρ₁ → ⟦ E.eval s bs vs ⟧ ρ₂
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end Spa
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