Baradb/formal-verification

BaraDB Formal Verification Suite

Version: 1.0.0 (see VERSION)

This directory contains TLA+ specifications for core BaraDB distributed-systems algorithms. These specifications serve as machine-checkable certificates of correctness for the most critical consensus, transaction, replication, membership, concurrency, and sharding protocols.

Structure

File	Algorithm	Key Properties
raft.tla	Raft Consensus	Election safety, leader append-only, state-machine safety, log matching, leader completeness
twopc.tla	Two-Phase Commit	Atomicity (all commit or all abort), no orphan blocks, coordinator consistency
mvcc.tla	MVCC / Snapshot Isolation	Read-own-writes, no dirty reads, write-write conflict, read stability, snapshot isolation
replication.tla	Async / Sync / Semi-sync Replication	Monotonic LSN, sync durability, semi-sync quorum, applied <= current
gossip.tla	SWIM Gossip Protocol	Alive-not-falsely-dead, incarnation monotonicity, dead consistency
deadlock.tla	Deadlock Detection	Cycle detection correctness, victim selection consistency, graph integrity
sharding.tla	Consistent Hash Sharding	Virtual node mapping, node assignment consistency, vnode ordering

Prerequisites

• Java Runtime Environment (JRE) 8+ — the bundled tla2tools.jar contains TLC and SANY.
• Or TLA+ Toolbox (GUI + TLC model checker).

Verified State Space (v1.1.0)

Spec	States Generated	Distinct States	Depth
raft.tla	3,031,684	833,024	47
twopc.tla	22,855,681	2,097,152	31
mvcc.tla	177,849	59,860	13
replication.tla	3,687,939	490,560	22
gossip.tla	1,257,121	110,592	28
deadlock.tla	3,767,361	263,950	9
sharding.tla	186,305	23,296	11
Total	34,963,940	3,878,434	—

Running the Model Checker

All specs at once

cd formal-verification
./run_all.sh

Individual specs (command line)

cd formal-verification

# Syntax check (parse)
java -cp tla2tools.jar tla2sany.SANY raft.tla

# Model check with small parameters
java -cp tla2tools.jar tlc2.TLC -config models/raft.cfg raft.tla
java -cp tla2tools.jar tlc2.TLC -config models/twopc.cfg twopc.tla
java -cp tla2tools.jar tlc2.TLC -config models/mvcc.cfg mvcc.tla
java -cp tla2tools.jar tlc2.TLC -config models/replication.cfg replication.tla
java -cp tla2tools.jar tlc2.TLC -config models/gossip.cfg gossip.tla
java -cp tla2tools.jar tlc2.TLC -config models/deadlock.cfg deadlock.tla
java -cp tla2tools.jar tlc2.TLC -config models/sharding.cfg sharding.tla

GUI (TLA+ Toolbox)

1. Open the Toolbox.
2. File → Open Spec → Add New Spec… → select a .tla file.
3. Create a new model (TLC Model Checker → New Model).
4. Click the green play button to verify all invariants and temporal properties.

Verified Properties

raft.tla

• ElectionSafety — at most one leader per term.
• LeaderAppendOnly — a leader never produces invalid log entries.
• StateMachineSafety — if a node has committed a log entry at a given index, no other node has a different entry for the same index.
• CommittedIndexValid — commitIndex never exceeds the node's log length.
• LogMatching — if two logs contain an entry with the same index and term, all preceding entries are identical.

twopc.tla

• Atomicity — it is never the case that one participant commits while another aborts.
• NoOrphanBlocks — once a transaction is committed, every participant is committed.
• CoordinatorConsistency — once the coordinator decides, it never changes the decision.
• NoDecideWithoutConsensus — coordinator only decides when all votes are collected.
• ParticipantStateValid — participant states are consistent with the coordinator decision.

mvcc.tla

• NoDirtyReads — a transaction never reads uncommitted writes of another transaction.
• ReadOwnWrites — a transaction always reads its own writes.
• WriteWriteConflict — no two committed transactions write the same key (first-committer-wins).
• CommittedMustStart — committed transactions have a valid start timestamp.
• CommittedVersionsUnique — no two committed versions for a key share the same txnId.
• NoWriteSkew — no two committed transactions have a circular read-write dependency.

replication.tla

• MonotonicLsn (temporal) — the applied LSN never decreases.
• AcksRemovePending — a replica that acked an LSN is no longer pending for it.
• PendingAreKnown — all pending acks reference valid replica IDs.
• AppliedLteCurrent — applied LSN never exceeds current LSN.

gossip.tla

• AliveNotFalselyDead — an alive member is never reported as dead by any peer.
• IncarnationMonotonic — incarnation numbers only increase.
• DeadConsistency — once dead, a node knows it is dead (self-consistency).

deadlock.tla

• GraphIntegrity — all edges reference known transaction IDs.
• NoSelfLoops — no transaction waits on itself.

sharding.tla

• VirtualNodeMapping — each vnode maps to Nil or a valid shard.
• NodeAssignmentConsistency — node-to-shard assignments are well-formed.
• VnodeOrdering — virtual nodes are assigned in monotonic position order.

Extending

To add a new algorithm:

1. Write the TLA+ spec (preferably with PlusCal for readability).
2. Define invariants that capture the safety properties you need.
3. Add a <name>.tla file and a matching <name>.cfg in models/.
4. Run TLC and confirm No error has been found.
5. Add the command to run_all.sh.
6. Update this README.