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Lean migration: Phase 6 (forward analysis framework)

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- Spa.Analysis.Forward.Lattices: VariableValues/StateVariables (FiniteMap
  instantiations), fixed heights, variablesAt, joinForKey/joinAll, interpV
  and its sup/foldr lemmas
- Spa.Analysis.Forward.Evaluation: StmtEvaluator/ExprEvaluator + validity
  (the Agda Valid* instance records become plain Props)
- Spa.Analysis.Forward.Adapters: expr-to-stmt evaluator adapter + validity
- Spa.Analysis.Forward: updateAll, analyze, result (least fixpoint via the
  gas-based Fixedpoint), walkTrace, analyze_correct — the framework's main
  soundness theorem

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
This commit is contained in:
Danila Fedorin
2026-06-09 20:14:53 -07:00
parent 2cfd0a2fb7
commit 739fbb503c
6 changed files with 443 additions and 1 deletions
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LEAN_MIGRATION.md
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@@ -79,5 +79,5 @@ validate phase by phase.
- [x] Phase 3
- [x] Phase 4
- [x] Phase 5
- [ ] Phase 6
- [x] Phase 6
- [ ] Phase 7