Lean migration: Phase 5 (language, CFGs, traces, Program)
- Spa.Language.Base: Expr/BasicStmt/Stmt + HasVar relations; StringSet lifts to Finset String - Spa.Language.Semantics: Value/Env/Env.Mem, big-step relations, LatticeInterpretation (respects-≈ field drops out with =) - Spa.Language.Graphs: Graph with nodes : Fin size → List BasicStmt (Vec lookup lemmas lift to Fin.append_left/right), comp/link/loop/ skipto/singleton/wrap/buildCfg, predecessors via List.finRange - Spa.Language.Traces: Trace + EndToEndTrace (Prop-valued) - Spa.Language.Properties: trace embeddings, loop lemmas, buildCfg_sufficient; the 80-line Fin-disjointness block reduces to castAdd_ne_natAdd + mathlib list lemmas - Spa.Language: Program (vars via Finset.sort — toList is noncomputable) Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
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@@ -6,3 +6,9 @@ import Spa.Lattice.Prod
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import Spa.Lattice.AboveBelow
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import Spa.Lattice.IterProd
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import Spa.Lattice.FiniteMap
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import Spa.Language.Base
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import Spa.Language.Semantics
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import Spa.Language.Graphs
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import Spa.Language.Traces
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import Spa.Language.Properties
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import Spa.Language
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