QuorumCert.Verify returns a different typed error for each clause of the finality
predicate, precisely so one refusal can be told from another. Fourteen are
declared. Four were ever named by a test — the two the R5 floors turn on, plus
ordering and a bad signature — and the other ten had nothing asserted on them at
all: nil cert, nil verifier, version, role, unknown tier, zero threshold, no
votes, a non-accept vote, the nova stake floor. Every one of those clauses would
have passed with its body replaced by `return errors.New("no")`, which is the
shape of test that measures nothing.
So every clause now has a row: a certificate proven valid by the control above
it, one field changed, and the error that clause owes. Wrong version, wrong role,
a tier that is neither rung, a threshold of zero, no votes, a duplicate voter,
voters out of order, a reject inside a finality cert, a signature over another
position, a voter nothing can resolve, a quorum larger than the votes carried —
and on the weighted side, an unresolved set, a set below the minimum Byzantine
committee, signable stake of zero, the seats without the stake and the stake
without the seats. The same table exists in Rust and in C++; the three are meant
to be read side by side, because three implementations refusing one certificate
for three reasons is a fork waiting for the cert they disagree about.
The fifteenth name, ErrQCVotePosition, is returned by nothing. The var block's
comment says each maps 1:1 onto a clause; that one maps onto no clause, because a
vote that signed another position fails as a bad signature — the message is
rebuilt from the CERT's position and never from the vote's. It is left alone here
and reported rather than covered, since no input reaches it.
The proof-of-possession rejects follow the frozen corpus and go past it: the
class is asserted, not merely that something failed. Encoding before possession
is what keeps a pairing off a point that was never a point, and a test that only
checked for non-nil would pass with the order reversed. The corpus has no
49-byte-key case; this side carries one, because the clause is `!=` and a
verifier guarding only the short side would check a proof against a PREFIX of the
published key.
Elsewhere: the parameter doors (every clause, and zero still meaning unset),
the corpus's own stake seam (three projections over the signers, the fourth over
the roll), the two arithmetic doors that must not wrap, the warp filter/sum/
aggregate read as the step a forged message would attack, the vote frame's
refusals including a four-gigabyte signature that is not there, and the durable
guard: what survives a restart, what a floor that could not be written must not
report, and every shape of file that is present and does not decode.
engine/chain 87.2 → 89.7 · validator 84.7 → 98.3 · pop 85.3 → 91.2
config 99.0 → 100 · conformance 93.8 → 97.4
Of the named core, cert/finality/quorum/quasar/descent/guard/verified_cert are
whole; what remains there is four statements no caller can reach, written down in
LLM.md so the next reader does not spend an afternoon each on them. The rest of
the gap is engine.go and the VM/network integration surface, which wants
multi-node harnesses rather than unit tests.
Tests only — no consensus logic moved.
Co-authored-by: Hanzo Dev <[email protected]>
Lux Consensus
Lux is not merely adding post-quantum signatures to a chain; it defines a hybrid finality architecture for DAG-native consensus, with protocol-agnostic threshold lifecycle, post-quantum threshold sealing, and cross-chain propagation of Horizon finality.
See LP-105 §Claims and evidence for the canonical claims/evidence table and the ten architectural commitments — single source of truth.
What decides finality
engine/chain is the engine luxd builds — chains/manager.go calls
consensuschain.NewRuntime and injects a BLS VoteVerifier. It decides by
metastable sampling to β-confidence and records the decision on the ladder in
engine/chain/finality.go:
Photon → Wave → Nova → Quasar → Horizon
Nova is a strict majority of stake and authorizes LOCAL execution; it is
reorgable. Quasar is a strict two-thirds of stake and is the export rung —
bridges, DEX settlement, cross-chain, validator-set transitions. Both floors have
one definition, config.TwoThirdsStakeFloor and config.HalfStakeFloor, which
the certificate verifier enforces and the parameter sizer derives α from, so the
count threshold cannot drift from the stake predicate.
The certificate (engine/chain/cert.go) is the portable
witness of a decision, not a second decider: α distinct validators each sign
ACCEPT over one position, nothing is aggregated, and any node holding the votes
assembles byte-identical bytes.
The standard is written down. The signed message, the certificate wire form,
both stake floors, the ladder's authorizations and the committee parameters are
emitted from those definitions into
conformance/corpus.json. An implementation in
another language is conformant when it reproduces that file exactly. Regenerate
with go test ./conformance -update; a diff there is a protocol change.
Of the packages below, engine/chain uses protocol/quasar and no other.
Quasar Family of Consensus
Quasar is the consensus engine for the Lux network. It provides unified consensus for linear chains (P-Chain, C-Chain) and DAG chains (X-Chain) with post-quantum finality via three independent cryptographic signing paths.
Sub-Protocols
| Protocol | Role | Package |
|---|---|---|
| Photon | K-of-N committee selection via Fisher-Yates sampling with luminance-weighted reputation | protocol/photon |
| Wave | Per-round threshold voting with FPC (Fast Probabilistic Consensus) | protocol/wave |
| Focus | Confidence accumulation: beta consecutive successes = local finality | protocol/focus |
| Nova | Linear chain consensus mode (P-Chain, C-Chain) -- wraps Ray | protocol/nova |
| Nebula | DAG consensus mode (X-Chain) -- wraps Field | protocol/nebula |
| Prism | DAG geometry: frontiers, cuts, uniform peer sampling | protocol/prism |
| Horizon | DAG order-theory: reachability, LCA, transitive closure, skip lists | protocol/horizon |
| Flare | DAG certificate/skip detection via 2f+1 quorum | protocol/flare |
| Ray | Linear chain finality driver: Wave + Focus + Sink | protocol/ray |
| Field | DAG finality driver: Wave + safe-prefix commit | protocol/field |
| Quasar | BLS + Pulsar + ML-DSA threshold signing, epoch management | protocol/quasar |
Signing Modes
Each cryptographic layer is independently toggleable:
| Mode | Layers | Use Case |
|---|---|---|
| BLS-only | BLS12-381 threshold | Fastest classical consensus |
| BLS + ML-DSA | BLS + FIPS 204 ML-DSA-65 | Dual with PQ identity proof |
| BLS + Pulsar | BLS + Ring-LWE 2-round threshold | Dual with PQ threshold proof |
| BLS + Pulsar + ML-DSA | All three in parallel | Full Quasar (triple mode) |
IsTripleMode() returns true when all three paths are configured.
TripleSignRound1 runs BLS + Pulsar + ML-DSA signing in parallel goroutines.
PQ Mode Selection (Configurable)
The active mode is selectable at runtime via config.PQMode or the
CONSENSUS_PQ_MODE env var. Defined in config/pq_mode.go:
| Mode | Env value | Maps to wire policy |
|---|---|---|
BLSOnly |
bls |
PolicyQuorum |
BLSPlusMLDSA |
bls-mldsa |
PolicyPQ |
BLSPlusCorona |
bls-rt |
PolicyPZ |
BLSPlusGroth16 |
bls-z |
PolicyQuantum (placeholder) |
TripleQuantum |
triple |
PolicyQuantum |
Run bench/pq_modes_bench_test.go for measured per-mode signing /
aggregation / verify costs and cert sizes. Storage and cert size
trade-offs:
| Mode | Sign | Agg | Verify | Cert | Storage 10K |
|---|---|---|---|---|---|
| bls | 312 µs | 8.6 ms | 714 µs | 123 B | 1.17 MB |
| bls-mldsa | 369 µs | 8.5 ms | 3.4 ms | 69 KB | 665 MB |
| bls-rt | 39 ms | 3.3 s | 1.6 ms | 33 KB | 318 MB |
| triple | 40 ms | 3.3 s | 4.3 ms | 102 KB | 981 MB |
Pulsar / triple include the full 2-round Pulsar threshold protocol
(github.com/luxfi/pulsar/threshold — Pulsar is Lux's variant with
DKG2 and Pulsar-SHA3 hash suite). Production parameters M=8, N=7,
LogN=8 (ring degree 256), Q=2^48-ish: classical 2^142, quantum 2^130.
Cert-size floor of ~33 KB is set by the (C, Z, Delta) ring polynomials;
protocol/quasar/cert_size_compare_test.go measures and verifies this.
Architecture
consensus/
protocol/
photon/ Committee selection (Emitter + Luminance)
wave/ Threshold voting + FPC
fpc/ Fast Probabilistic Consensus selector
focus/ Confidence counter (beta tracker)
prism/ DAG cuts, frontiers, uniform sampling
horizon/ DAG reachability, LCA, skip lists
flare/ DAG cert/skip classification (2f+1)
ray/ Linear chain driver (Nova uses this)
field/ DAG finality driver (Nebula uses this)
nova/ Linear chain consensus mode
nebula/ DAG consensus mode
chain/ Block interface primitives
quasar/ BLS + Pulsar + ML-DSA threshold signing
engine/ Consensus engine (Chain, DAG, PQ wrappers)
core/ Core types, DAG structures
types/ Block, Vote, Config, Bag
config/ Parameter presets (single, local, testnet, mainnet)
runtime/ VM wiring (chain IDs, validators, logging)
pkg/wire/ Wire protocol credentials (ML-DSA-44/65/87 + BLS + Ed25519)
bench/ Benchmarks
version/ Re-exports github.com/luxfi/version
Consensus Flow
Linear Chains (Nova)
Photon (select committee) -> Wave (threshold vote) -> Focus (count beta) -> Ray (decide) -> Sink
DAG Chains (Nebula)
Photon (select committee) -> Wave (threshold vote per frontier vertex)
-> Flare (cert/skip) -> Horizon (safe prefix) -> Field (commit ordered prefix) -> Committer
Quasar PQ Finality
After consensus decision, the Quasar signing layer produces threshold certificates:
- BLS: single-round threshold share via
crypto/threshold - Pulsar: 2-round Ring-LWE threshold via
luxfi/corona/threshold - ML-DSA-65: single-round FIPS 204 identity signature
All three run in parallel. A block is quantum-final when all configured certificate layers are valid.
Key Hierarchy
| Layer | Key Type | Purpose |
|---|---|---|
| Node-ID | Ed25519 | P2P transport auth |
| Validator-BLS | BLS12-381 | Classical finality votes |
| Validator-PQ | Pulsar (Ring-LWE) | PQ finality shares |
| Validator-ID | ML-DSA-65 (FIPS 204) | PQ identity attestation |
| Wallet (EVM) | secp256k1 | User transaction signatures |
| Wallet (X-Chain) | secp256k1 | UTXO locking |
Quick Start
import "github.com/luxfi/consensus"
chain := consensus.NewChain(consensus.DefaultConfig())
ctx := context.Background()
if err := chain.Start(ctx); err != nil {
log.Fatal(err)
}
defer chain.Stop()
block := &consensus.Block{
ID: consensus.NewID(),
ParentID: consensus.GenesisID,
Height: 1,
Payload: []byte("Hello, Lux!"),
}
if err := chain.Add(ctx, block); err != nil {
log.Fatal(err)
}
Configuration
// Auto-configure based on validator count
params := consensus.GetConfig(21) // mainnet defaults
// Or use presets
consensus.SingleValidatorParams() // 1 node, dev
consensus.LocalParams() // 5 nodes, local
consensus.TestnetParams() // 11 nodes, testnet
consensus.MainnetParams() // 21 nodes, production
Benchmarks
Measured on Apple M1 Max:
| Component | Operation | Time/Op |
|---|---|---|
| Wave | Vote round | 3.38 us |
| Photon | K-of-N selection | 3.03 us |
| Luminance | Brightness update | 72 ns |
ZAP wire protocol (measured, bench/):
| Configuration | Throughput |
|---|---|
| Single connection | 114K TPS |
| 20 parallel connections | 376K TPS |
| 50 conns + batch 1000 | 20.26M TPS |
Testing
GOWORK=off go test ./...
GOWORK=off go test -bench=. ./bench/
Security Model
- Pre-quantum: Attacker must corrupt >= 1/3 stake to fork
- Q-day (BLS broken): Lattice certificates prevent unsafe finalization
- Post-quantum: Security rests on Module-LWE (Pulsar) + Module-LWE/SIS (ML-DSA)
License
BSD 3-Clause. See LICENSE.