Delete more LLM-generated comments from the migration
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@@ -1,53 +1,32 @@
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/-
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Port of `Analysis/Forward/Adapters.agda` (`ExprToStmtAdapter`).
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Correspondence:
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updateVariablesFromExpression ↦ updateVariablesFromExpression
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updateVariablesFromExpression-Mono ↦ updateVariablesFromExpression_mono
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(the -k∈ks-≡ / -k∉ks-backward renames ↦ used directly from FiniteMap)
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evalᵇ, evalᵇ-Monoʳ ↦ evalB, evalB_mono
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stmtEvaluator (instance) ↦ instance StmtEvaluator L prog
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evalᵇ-valid, validStmtEvaluator ↦ instance ValidStmtEvaluator L prog
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(the Agda `k ≟ˢ k'` case split is
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subsumed by `cases` on `Env.Mem`,
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whose `here` case forces `k' = k`)
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-/
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import Spa.Analysis.Forward.Evaluation
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namespace Spa
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variable {L : Type} [Lattice L] {prog : Program} [E : ExprEvaluator L prog]
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/-- Agda: `updateVariablesFromExpression` — set the single key `k` to the
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value of `e` (the `GeneralizedUpdate` with `ks = [k]`). -/
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def updateVariablesFromExpression (k : String) (e : Expr)
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(vs : VariableValues L prog) : VariableValues L prog :=
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FiniteMap.generalizedUpdate id (fun _ vs => E.eval e vs) [k] vs
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/-- Agda: `updateVariablesFromExpression-Mono`. -/
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theorem updateVariablesFromExpression_mono (k : String) (e : Expr) :
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Monotone (updateVariablesFromExpression (L := L) (prog := prog) k e) :=
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FiniteMap.generalizedUpdate_monotone monotone_id (fun _ => E.eval_mono e)
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/-- Agda: `evalᵇ`. -/
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def evalB (_ : prog.State) (bs : BasicStmt)
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(vs : VariableValues L prog) : VariableValues L prog :=
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match bs with
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| .assign k e => updateVariablesFromExpression k e vs
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| .noop => vs
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/-- Agda: `evalᵇ-Monoʳ`. -/
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theorem evalB_mono (s : prog.State) (bs : BasicStmt) :
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Monotone (evalB (L := L) (prog := prog) s bs) := by
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cases bs with
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| assign k e => exact updateVariablesFromExpression_mono k e
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| noop => exact monotone_id
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/-- Agda: the `stmtEvaluator` instance of `ExprToStmtAdapter`. -/
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instance ExprEvaluator.toStmtEvaluator : StmtEvaluator L prog :=
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⟨evalB, evalB_mono⟩
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/-- Agda: `evalᵇ-valid` / the `validStmtEvaluator` instance. -/
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instance ExprEvaluator.toStmtEvaluator_valid [LatticeInterpretation L]
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[ValidExprEvaluator L prog] : ValidStmtEvaluator L prog := by
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constructor
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