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beacon-chain.md

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Ethereum 2.0 The Merge

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

Table of contents

Introduction

This is a patch implementing executable beacon chain proposal. It enshrines application execution and validity as a first class citizen at the core of the beacon chain.

Constants

Execution

Name Value
MAX_BYTES_PER_TRANSACTION_PAYLOAD 2**20
MAX_APPLICATION_TRANSACTIONS 2**14
BYTES_PER_LOGS_BLOOM 2**8
EVM_BLOCK_ROOTS_SIZE 2**8

Containers

Extended containers

Note: Extended SSZ containers inherit all fields from the parent in the original order and append any additional fields to the end.

BeaconBlockBody

Note: BeaconBlockBody fields remain unchanged other than the addition of application_payload.

class BeaconBlockBody(phase0.BeaconBlockBody):
    application_payload: ApplicationPayload  # [Added] application payload

BeaconState

Note: BeaconState fields remain unchanged other than the removal of eth1_data_votes and addition of application_state_root and application_block_hash.

class BeaconState(Container):
    # Versioning
    genesis_time: uint64
    genesis_validators_root: Root
    slot: Slot
    fork: Fork
    # History
    latest_block_header: BeaconBlockHeader
    block_roots: Vector[Root, SLOTS_PER_HISTORICAL_ROOT]
    state_roots: Vector[Root, SLOTS_PER_HISTORICAL_ROOT]
    historical_roots: List[Root, HISTORICAL_ROOTS_LIMIT]
    # Eth1
    eth1_data: Eth1Data
    # [Removed] eth1_data_votes
    eth1_deposit_index: uint64
    # [Added] hash of the root of application state
    application_state_root: Bytes32
    # [Added] hash of recent application block
    application_block_hash: Bytes32
    # Registry
    validators: List[Validator, VALIDATOR_REGISTRY_LIMIT]
    balances: List[Gwei, VALIDATOR_REGISTRY_LIMIT]
    # Randomness
    randao_mixes: Vector[Bytes32, EPOCHS_PER_HISTORICAL_VECTOR]
    # Slashings
    slashings: Vector[Gwei, EPOCHS_PER_SLASHINGS_VECTOR]  # Per-epoch sums of slashed effective balances
    # Attestations
    previous_epoch_attestations: List[PendingAttestation, MAX_ATTESTATIONS * SLOTS_PER_EPOCH]
    current_epoch_attestations: List[PendingAttestation, MAX_ATTESTATIONS * SLOTS_PER_EPOCH]
    # Finality
    justification_bits: Bitvector[JUSTIFICATION_BITS_LENGTH]  # Bit set for every recent justified epoch
    previous_justified_checkpoint: Checkpoint  # Previous epoch snapshot
    current_justified_checkpoint: Checkpoint
    finalized_checkpoint: Checkpoint

New containers

Transaction

Application transaction fields structured as an SSZ object for inclusion in an ApplicationPayload contained within a BeaconBlock.

class Transaction(Container):
    nonce: uint64
    gas_price: uint256
    gas_limit: uint64
    recipient: Bytes20
    value: uint256
    input: List[Bytes1, MAX_BYTES_PER_TRANSACTION_PAYLOAD]
    v: uint256
    r: uint256
    s: uint256

ApplicationPayload

The application payload included in a BeaconBlock.

class ApplicationPayload(Container):
    block_hash: Bytes32  # Hash of application block
    coinbase: Bytes20
    state_root: Bytes32
    gas_limit: uint64
    gas_used: uint64
    receipt_root: Bytes32
    logs_bloom: Vector[Bytes1, BYTES_PER_LOGS_BLOOM]
    difficulty: uint64  # Temporary field, will be removed later on
    transactions: List[Transaction, MAX_APPLICATION_TRANSACTIONS]

Helper functions

Misc

compute_randao_mix

def compute_randao_mix(state: BeaconState, randao_reveal: BLSSignature) -> Bytes32:
    epoch = get_current_epoch(state)
    return xor(get_randao_mix(state, epoch), hash(randao_reveal))

compute_time_at_slot

def compute_time_at_slot(state: BeaconState, slot: Slot) -> uint64:
    slots_since_genesis = slot - GENESIS_SLOT
    return uint64(state.genesis_time + slots_since_genesis * SECONDS_PER_SLOT)

Beacon state accessors

get_recent_beacon_block_roots

def get_recent_beacon_block_roots(state: BeaconState, qty: uint64) -> Sequence[Bytes32]:
    return [
        get_block_root_at_slot(state.slot - i) if GENESIS_SLOT + i < state.slot else Bytes32()
        for i in reversed(range(1, qty + 1))
    ]

get_evm_beacon_block_roots

def get_evm_beacon_block_roots(state: BeaconState) -> Sequence[Bytes32]:
    num_block_roots = min(EVM_BLOCK_ROOTS_SIZE, SLOTS_PER_HISTORICAL_ROOT)
    return get_recent_beacon_block_roots(state, num_block_roots)

Block processing

def process_block(state: BeaconState, block: BeaconBlock) -> None:
    process_block_header(state, block)
    process_randao(state, block.body)
    process_eth1_data(state, block.body)  # [Modified in The Merge]
    process_operations(state, block.body)
    process_application_payload(state, block.body)  # [New in The Merge]

Modified process_eth1_data

Note: The function process_eth1_data is modified to update state.eth1_data with eth1_data of each block.

def process_eth1_data(state: BeaconState, body: BeaconBlockBody) -> None:
    state.eth1_data = body.eth1_data

Application payload processing

BeaconChainData

Note: BeaconChainData contains beacon state data that is used by the application state transition function.

class BeaconChainData(Container):
    slot: Slot
    randao_mix: Bytes32
    timestamp: uint64
    recent_block_roots: Vector[Bytes32, EVM_BLOCK_ROOTS_SIZE]
get_application_state

Note: ApplicationState class is an abstract class representing ethereum application state.

Let get_application_state(application_state_root: Bytes32) -> ApplicationState be the function that given the root hash returns a copy of ethereum application state. The body of the function is implementation dependent.

application_state_transition

Let application_state_transition(application_state: ApplicationState, beacon_chain_data: BeaconChainData, application_payload: ApplicationPayload) -> None be the transition function of ethereum application state. The body of the function is implementation dependant.

Note: application_state_transition must throw AssertionError if either the transition itself or one of the post-transition verifications has failed.

process_application_payload
def process_application_payload(state: BeaconState, body: BeaconBlockBody) -> None:
    """
    Note: This function is designed to be able to be run in parallel with 
    the other `process_block` sub-functions
    """
    
    # Utilizes `compute_randao_mix` to avoid any assumptions about
    # the processing of other `process_block` sub-functions
    beacon_chain_data = BeaconChainData(
        slot=state.slot,
        randao_mix=compute_randao_mix(state, body.randao_reveal),
        timestamp=compute_time_at_slot(state.genesis_time, state.slot),
        recent_block_roots=get_evm_beacon_block_roots(state) 
    )
    
    application_state = get_application_state(state.application_state_root)
    application_state_transition(application_state, beacon_chain_data, body.application_payload)

    state.application_state_root = body.application_payload.state_root
    state.application_block_hash = body.application_payload.block_hash