Monthly research note. Theme: Formal Methods & Verification.
TL;DR
A focused memo on Concurrency Testing in Rust: Loom, Schedules, and Determinism: define the model, state the properties, then design the system so those properties remain true under failure and adversaries.
Most failures are boundary failures: parsing, persistence, concurrency, retries, and upgrades.
Key takeaways
- Refinement boundaries prevent spec drift between paper and code.
- Write properties in plain language next to the formal statement.
- Keep models small enough to run in seconds or they will rot.
- Make boundaries boring: validate inputs, cap costs, and be deterministic where needed.
- Bind security decisions to evidence (audit, invariants, telemetry).
Why this matters
- Most catastrophic bugs are small: a missing condition, a stale variable, a rare interleaving.
- Verification complements testing by exploring adversarial schedules systematically.
- Counterexamples are better than intuition—they are executable bug reports.
- Formal models force you to name assumptions (time, ordering, failure).
Key questions
- How do you convert counterexamples into test harnesses?
- What is the smallest model that still captures the bug class you fear?
- What is the refinement boundary between spec and implementation?
- How do you handle state explosion (symmetry, abstraction, bounds)?
- Which invariants must hold under every interleaving and crash point?
- How do you ensure proofs stay valid through refactors and upgrades?
Assumptions
- Teams need workflows that keep models and code aligned over time.
- Specifications omit details; implementations invent them. That gap is risk.
- Adversaries choose the worst schedule, not the average one.
- Most systems have implicit assumptions about timeouts and ordering.
Non-goals
- Proving the whole system end-to-end with all implementation details.
- Writing models that can’t produce counterexamples quickly.
Observability pipelines can be attacked (cardinality explosions, log injection). Protect them.
Model & invariants
A common way to state linearizability is existence of a sequential history:
Model the scheduler explicitly when concurrency is part of the threat model.
Keep the model small enough to run in seconds; large models rot.
If the system can enter an invalid state, it eventually will—usually during an incident.
Security properties
- Downgrade resistance: negotiation can’t silently weaken security posture.
- Evidence: critical actions emit verifiable audit events.
- Replay resistance: duplicated inputs do not change outcomes.
- Authenticity: actions are bound to identity and purpose.
Failure modes
- Mixed-version behavior that violates assumptions silently.
- Observability gaps during incidents (missing evidence).
- Config drift that weakens security posture over time.
- Recovery paths that only work when nothing is broken.
Caches tend to become sources of truth unless you can recompute and validate them.
Design sketch
flowchart TD
props["Properties"] --> inv["Invariants"]
inv --> model["Model"]
model --> cex["Counterexamples"]
cex --> tests["Regression Tests"]
tests --> modelImplementation notes
Keep refinement boundaries explicit: what the spec promises vs what code enforces.
Make rollbacks boring: if rollback is a hero move, it will fail.
// Practical tip: make the model "executable" enough to emit traces you can replay.
// Then treat traces as regression inputs for your implementation.Verification strategy
- Proof maintenance: keep models in CI with a time budget.
- Runtime assertions for invariants that are cheap to check.
- Refinement tests: compare model traces to implementation traces.
- Differential tests against other implementations/specs.
- Property-based tests derived from invariants.
Operational notes
- Keep a library of “known hard schedules” from past failures.
- Run the model checker in CI with explicit timeouts and bounds.
- Use models to evaluate protocol upgrades before shipping.
- Treat counterexamples as incidents: track, root-cause, regression-test.
- Version properties and invariants like code; review changes carefully.
Design playbooks as protocols: predictable steps, bounded risk, and clear ownership.
What to monitor
- Admission-control / rate-limit rejections (by reason).
- Invariant violation rate (should be ~0).
- Authz failures and policy denials (unexpected spikes).
- Error budget burn + tail latency under load.
- Rollback events and the conditions that triggered them.
Rollback plan
- Prefer backward-compatible changes; avoid “flag day” upgrades.
- Keep dual-write / dual-verify windows where appropriate.
- Preserve evidence (configs, artifacts, audit logs) to reconstruct what changed.
- Use canaries and staged rollout; stop early when signals degrade.
- Define an explicit rollback trigger (metrics + thresholds).
Evidence
- Learn TLA+ (1) — Practical workflow and examples.
- Evidence: Model the smallest thing that can break; use model checking to validate invariants before optimizing.
- Jepsen (2) — Fault injection and correctness testing for distributed systems.
- Evidence: Turn faults into test cases; prioritize partition and clock-skew scenarios that violate user-visible guarantees.
Open questions
- Which properties are you currently assuming but not testing or proving?
- Which invariants are cheap enough to monitor in production?
- What is the smallest model that reproduces your worst incident class?
- How will you keep models aligned during rapid iteration?
Checklist
- Rollback plan rehearsed and automated.
- Safety properties stated as invariants.
- Failure modes enumerated with mitigations.
- Telemetry captures correctness signals.
- Assumptions listed and reviewed.
- Costs bounded (CPU/memory/bandwidth) under adversarial inputs.
Further reading
- Learn TLA+ — Practical workflow and examples.
- Paxos Made Simple (Lamport) — A small protocol that demonstrates why specs matter.
- Specifying Systems (Lamport) — The TLA+ reference for safety/liveness and system specs.
- Jepsen — Fault injection and correctness testing for distributed systems.
- Site Reliability Engineering (Google) — Error budgets, incident response, and reliability as an engineering discipline.
- Designing Data-Intensive Applications (Kleppmann) — The systems-engineering baseline for correctness, replication, and failure.