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Altair -- Minimal Light Client

Notice: This document is a work-in-progress for researchers and implementers.

Table of contents

Introduction

The beacon chain is designed to be light client friendly for constrained environments to access Ethereum with reasonable safety and liveness. Such environments include resource-constrained devices (e.g. phones for trust-minimised wallets) and metered VMs (e.g. blockchain VMs for cross-chain bridges).

This document suggests a minimal light client design for the beacon chain that uses sync committees introduced in this beacon chain extension.

Constants

Name Value
FINALIZED_ROOT_INDEX get_generalized_index(BeaconState, 'finalized_checkpoint', 'root') (= 105)
NEXT_SYNC_COMMITTEE_INDEX get_generalized_index(BeaconState, 'next_sync_committee') (= 55)

Preset

Misc

Name Value Unit Duration
MIN_SYNC_COMMITTEE_PARTICIPANTS 1 validators
UPDATE_TIMEOUT SLOTS_PER_EPOCH * EPOCHS_PER_SYNC_COMMITTEE_PERIOD slots ~27.3 hours

Containers

LightClientUpdate

class LightClientUpdate(Container):
    # The beacon block header that is attested to by the sync committee
    attested_header: BeaconBlockHeader
    # Next sync committee corresponding to the active header
    next_sync_committee: SyncCommittee
    next_sync_committee_branch: Vector[Bytes32, floorlog2(NEXT_SYNC_COMMITTEE_INDEX)]
    # The finalized beacon block header attested to by Merkle branch
    finalized_header: BeaconBlockHeader
    finality_branch: Vector[Bytes32, floorlog2(FINALIZED_ROOT_INDEX)]
    # Sync committee aggregate signature
    sync_aggregate: SyncAggregate
    # Fork version for the aggregate signature
    fork_version: Version

LightClientStore

@dataclass
class LightClientStore(object):
    # Beacon block header that is finalized
    finalized_header: BeaconBlockHeader
    # Sync committees corresponding to the header
    current_sync_committee: SyncCommittee
    next_sync_committee: SyncCommittee
    # Best available header to switch finalized head to if we see nothing else
    best_valid_update: Optional[LightClientUpdate]
    # Most recent available reasonably-safe header
    optimistic_header: BeaconBlockHeader
    # Max number of active participants in a sync committee (used to calculate safety threshold)
    previous_max_active_participants: uint64
    current_max_active_participants: uint64

Helper functions

is_finality_update

def is_finality_update(update: LightClientUpdate) -> bool:
    return update.finalized_header != BeaconBlockHeader()

get_subtree_index

def get_subtree_index(generalized_index: GeneralizedIndex) -> uint64:
    return uint64(generalized_index % 2**(floorlog2(generalized_index)))

get_active_header

def get_active_header(update: LightClientUpdate) -> BeaconBlockHeader:
    # The "active header" is the header that the update is trying to convince us
    # to accept. If a finalized header is present, it's the finalized header,
    # otherwise it's the attested header
    if is_finality_update(update):
        return update.finalized_header
    else:
        return update.attested_header

get_safety_threshold

def get_safety_threshold(store: LightClientStore) -> uint64:
    return max(
        store.previous_max_active_participants,
        store.current_max_active_participants,
    ) // 2

Light client state updates

A light client maintains its state in a store object of type LightClientStore and receives update objects of type LightClientUpdate. Every update triggers process_light_client_update(store, update, current_slot, genesis_validators_root) where current_slot is the current slot based on a local clock. process_slot_for_light_client_store is triggered every time the current slot increments.

process_slot_for_light_client_store

def process_slot_for_light_client_store(store: LightClientStore, current_slot: Slot) -> None:
    if current_slot % UPDATE_TIMEOUT == 0:
        store.previous_max_active_participants = store.current_max_active_participants
        store.current_max_active_participants = 0
    if (
        current_slot > store.finalized_header.slot + UPDATE_TIMEOUT
        and store.best_valid_update is not None
    ):
        # Forced best update when the update timeout has elapsed
        apply_light_client_update(store, store.best_valid_update)
        store.best_valid_update = None

validate_light_client_update

def validate_light_client_update(store: LightClientStore,
                                 update: LightClientUpdate,
                                 current_slot: Slot,
                                 genesis_validators_root: Root) -> None:
    # Verify update slot is larger than slot of current best finalized header
    active_header = get_active_header(update)
    assert current_slot >= active_header.slot > store.finalized_header.slot

    # Verify update does not skip a sync committee period
    finalized_period = compute_sync_committee_period(compute_epoch_at_slot(store.finalized_header.slot))
    update_period = compute_sync_committee_period(compute_epoch_at_slot(active_header.slot))
    assert update_period in (finalized_period, finalized_period + 1)

    # Verify that the `finalized_header`, if present, actually is the finalized header saved in the
    # state of the `attested header`
    if not is_finality_update(update):
        assert update.finality_branch == [Bytes32() for _ in range(floorlog2(FINALIZED_ROOT_INDEX))]
    else:
        assert is_valid_merkle_branch(
            leaf=hash_tree_root(update.finalized_header),
            branch=update.finality_branch,
            depth=floorlog2(FINALIZED_ROOT_INDEX),
            index=get_subtree_index(FINALIZED_ROOT_INDEX),
            root=update.attested_header.state_root,
        )

    # Verify update next sync committee if the update period incremented
    if update_period == finalized_period:
        sync_committee = store.current_sync_committee
        assert update.next_sync_committee_branch == [Bytes32() for _ in range(floorlog2(NEXT_SYNC_COMMITTEE_INDEX))]
    else:
        sync_committee = store.next_sync_committee
        assert is_valid_merkle_branch(
            leaf=hash_tree_root(update.next_sync_committee),
            branch=update.next_sync_committee_branch,
            depth=floorlog2(NEXT_SYNC_COMMITTEE_INDEX),
            index=get_subtree_index(NEXT_SYNC_COMMITTEE_INDEX),
            root=active_header.state_root,
        )

    sync_aggregate = update.sync_aggregate

    # Verify sync committee has sufficient participants
    assert sum(sync_aggregate.sync_committee_bits) >= MIN_SYNC_COMMITTEE_PARTICIPANTS

    # Verify sync committee aggregate signature
    participant_pubkeys = [
        pubkey for (bit, pubkey) in zip(sync_aggregate.sync_committee_bits, sync_committee.pubkeys)
        if bit
    ]
    domain = compute_domain(DOMAIN_SYNC_COMMITTEE, update.fork_version, genesis_validators_root)
    signing_root = compute_signing_root(update.attested_header, domain)
    assert bls.FastAggregateVerify(participant_pubkeys, signing_root, sync_aggregate.sync_committee_signature)

apply_light_client_update

def apply_light_client_update(store: LightClientStore, update: LightClientUpdate) -> None:
    active_header = get_active_header(update)
    finalized_period = compute_sync_committee_period(compute_epoch_at_slot(store.finalized_header.slot))
    update_period = compute_sync_committee_period(compute_epoch_at_slot(active_header.slot))
    if update_period == finalized_period + 1:
        store.current_sync_committee = store.next_sync_committee
        store.next_sync_committee = update.next_sync_committee
    store.finalized_header = active_header
    if store.finalized_header.slot > store.optimistic_header.slot:
        store.optimistic_header = store.finalized_header

process_light_client_update

def process_light_client_update(store: LightClientStore,
                                update: LightClientUpdate,
                                current_slot: Slot,
                                genesis_validators_root: Root) -> None:
    validate_light_client_update(store, update, current_slot, genesis_validators_root)

    sync_committee_bits = update.sync_aggregate.sync_committee_bits

    # Update the best update in case we have to force-update to it if the timeout elapses
    if (
        store.best_valid_update is None
        or sum(sync_committee_bits) > sum(store.best_valid_update.sync_aggregate.sync_committee_bits)
    ):
        store.best_valid_update = update

    # Track the maximum number of active participants in the committee signatures
    store.current_max_active_participants = max(
        store.current_max_active_participants,
        sum(sync_committee_bits),
    )

    # Update the optimistic header
    if (
        sum(sync_committee_bits) > get_safety_threshold(store)
        and update.attested_header.slot > store.optimistic_header.slot
    ):
        store.optimistic_header = update.attested_header

    # Update finalized header
    if (
        sum(sync_committee_bits) * 3 >= len(sync_committee_bits) * 2
        and is_finality_update(update)
    ):
        # Normal update through 2/3 threshold
        apply_light_client_update(store, update)
        store.best_valid_update = None