Mechanized LeanGuard replay lemmas.#97
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Add a shared TraceSpec replay skeleton with mechanized soundness and invariant-preservation lemmas for canonical trace replay. Instantiate the replay skeleton for the AQM and PFC event-log checkers, including coverage-observing replay and checker-level soundness theorems that connect successful checks to canonical TraceSpec replay. Validation: - cd /Users/bli/Playground/days/lean && lake build dcqcn_check pfc_check cubic_check drr_check wfq_check aqm_check aqm_dcqcn_check - cd /Users/bli/Playground/days && bash lean/scripts/run-aqm-fixtures.sh - cd /Users/bli/Playground/days && bash lean/scripts/run-aqm-coverage-fixtures.sh - cd /Users/bli/Playground/days && cargo run --features "l2_pfc,lean" --bin leanguard-run -- --config configs/ci/leanguard_pfc.toml --checker-dir lean/.lake/build/bin Co-authored-by: Codex <codex@openai.com>
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This PR mechanized the checker-side replay scope needed by the LeanGuard paper revision. It adds a shared TraceSpec replay skeleton and representative AQM/PFC instantiations without claiming independent validation of every protocol specification.
Changes
Added a shared
TraceSpecinterface for canonical trace replay, with executable replay, coverage-observing replay, a replay relation induced by the checker step function, replay soundness lemmas, and invariant-preservation lemmas.Refactored the AQM and PFC event-log checkers to replay canonical rows through the shared TraceSpec skeleton while preserving coverage reporting and first-failure behavior.
Added AQM and PFC soundness theorems connecting successful checker runs to canonical TraceSpec replay over the sorted row sequence.
Validation
Ran
cd /Users/bli/Playground/days/lean && lake build dcqcn_check pfc_check cubic_check drr_check wfq_check aqm_check aqm_dcqcn_check.Ran
cd /Users/bli/Playground/days && bash lean/scripts/run-aqm-fixtures.sh.Ran
cd /Users/bli/Playground/days && bash lean/scripts/run-aqm-coverage-fixtures.sh.Ran
cd /Users/bli/Playground/days && cargo run --features "l2_pfc,lean" --bin leanguard-run -- --config configs/ci/leanguard_pfc.toml --checker-dir lean/.lake/build/bin.Ran
git diff --check.