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Revise TEST_REVIEW_REPORT: P1 gaps section reflects all-resolved status
Converted P1 table from in-progress tracking to completed summary. Added future-work note on DFS white-path simulation bridge. P2-P4 sections unchanged. Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
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autoclrs/TEST_REVIEW_REPORT.md

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## Remaining Gaps and Improvement Opportunities
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### Priority 1: Specification Gaps
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| Algorithm | Gap | Status |
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|-----------|-----|--------|
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| **BST Array (Ch12)** | Insert success/failure not characterized |**Resolved** — Added `insert_will_succeed` predicate; postcondition now has `success == insert_will_succeed keys valid cap 0 key` |
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| **Counting Sort (Ch08)** | `counting_sort_by_digit` untested |**Resolved** — Test exercises by-digit sort with base=10, d=0; extracts permutation + sorted_on_digit from opaque stability predicate |
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| **DFS (Ch22)** | Edge classification not in interface |**Resolved** — Added `is_back_edge`, `is_tree_or_forward_edge`, `is_cross_edge` to Graph.Common; test classifies edges at runtime |
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| **DFS (Ch22)** | White-path theorem not formalized |**Resolved** — Flat-array white-path vocabulary (`dfs_ancestor_flat`, `white_at_time_flat`, `path_all_white_flat`, `white_path_exists_flat`) added to Graph.Common; `pred_implies_tree_or_forward` lemma derives DFS ancestor relation from postcondition; Impl.fsti documents connection to proven WhitePath.fst theorem. Full simulation bridge is future work. |
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| **Prim (Ch23)** | Postcondition lacks `is_full_vec` for returned vectors |**Resolved** — Added `V.is_full_vec (fst res) /\ V.is_full_vec (snd res)`; ImplTest uses `V.free` instead of `drop_` |
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### Priority 1: Specification Gaps — All Resolved ✅
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All five identified P1 specification gaps have been addressed:
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| Algorithm | Gap | Resolution |
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|-----------|-----|------------|
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| **Prim (Ch23)** | Missing `is_full_vec` on returned vectors | Postcondition strengthened; ImplTest uses `V.free` |
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| **BST Array (Ch12)** | Insert success/failure uncharacterized | `insert_will_succeed` predicate + 7 step lemmas; postcondition connects `success` to predicate |
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| **Counting Sort (Ch08)** | `counting_sort_by_digit` untested | Test exercises by-digit sort; extracts permutation + sorted_on_digit from opaque stability predicate |
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| **DFS (Ch22)** | Edge classification absent from interface | `is_back_edge`, `is_tree_or_forward_edge`, `is_cross_edge` in Graph.Common; runtime-classified in test |
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| **DFS (Ch22)** | White-path theorem not connected to Impl | Flat-array vocabulary in Graph.Common; `pred_implies_tree_or_forward` lemma; Impl.fsti documents connection to proven WhitePath.fst |
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**Future work (DFS white-path bridge):** The white-path theorem is fully proven
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in `DFS.WhitePath.fst` for the pure spec (2D adjacency, `Seq.seq nat`
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timestamps). Flat-array mirror definitions now exist in `Graph.Common` for the
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implementation's `Seq.seq int` representation. A full simulation proof — showing
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the imperative implementation computes the same timestamps as the spec function
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`dfs adj n` — would close the gap entirely but is a substantial effort.
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### Priority 2: Test Coverage Expansion
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