# Ethereum 2.0 Phase 0 -- Beacon Chain Fork Choice

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

## Table of contents
<!-- TOC -->

- [Ethereum 2.0 Phase 0 -- Beacon Chain Fork Choice](#ethereum-20-phase-0----beacon-chain-fork-choice)
    - [Table of contents](#table-of-contents)
    - [Introduction](#introduction)
    - [Constants](#constants)
        - [Time parameters](#time-parameters)
    - [Fork choice](#fork-choice)
        - [Helpers](#helpers)
            - [`Target`](#target)
            - [`Store`](#store)
            - [`get_genesis_store`](#get_genesis_store)
            - [`get_ancestor`](#get_ancestor)
            - [`get_latest_attesting_balance`](#get_latest_attesting_balance)
            - [`get_head`](#get_head)
        - [Handlers](#handlers)
            - [`on_tick`](#on_tick)
            - [`on_block`](#on_block)
            - [`on_attestation`](#on_attestation)

<!-- /TOC -->

## Introduction

This document is the beacon chain fork choice spec, part of Ethereum 2.0 Phase 0. It assumes the [beacon chain state transition function spec](./0_beacon-chain.md).

## Configuration

### Time parameters

| Name | Value | Unit | Duration |
| - | - | :-: | :-: |
| `SECONDS_PER_SLOT` | `6` | seconds | 6 seconds |

## Fork choice

The head block root associated with a `store` is defined as `get_head(store)`. At genesis let `store = get_genesis_store(genesis_state)` and update `store` by running:

* `on_tick(time)` whenever `time > store.time` where `time` is the current Unix time
* `on_block(block)` whenever a block `block` is received
* `on_attestation(attestation)` whenever an attestation `attestation` is received

*Notes*:

1) **Leap seconds**: Slots will last `SECONDS_PER_SLOT + 1` or `SECONDS_PER_SLOT - 1` seconds around leap seconds. This is automatically handled by [UNIX time](https://en.wikipedia.org/wiki/Unix_time).
2) **Honest clocks**: Honest nodes are assumed to have clocks synchronized within `SECONDS_PER_SLOT` seconds of each other.
3) **Eth1 data**: The large `ETH1_FOLLOW_DISTANCE` specified in the [honest validator document](https://github.com/ethereum/eth2.0-specs/blob/dev/specs/validator/0_beacon-chain-validator.md) should ensure that `state.latest_eth1_data` of the canonical Ethereum 2.0 chain remains consistent with the canonical Ethereum 1.0 chain. If not, emergency manual intervention will be required.
4) **Manual forks**: Manual forks may arbitrarily change the fork choice rule but are expected to be enacted at epoch transitions, with the fork details reflected in `state.fork`.
5) **Implementation**: The implementation found in this specification is constructed for ease of understanding rather than for optimization in computation, space, or any other resource. A number optimized alternatives can be found [here](https://github.com/protolambda/lmd-ghost).

### Helpers

#### `Target`

```python
@dataclass
class Target(object):
    epoch: Epoch
    root: Hash
```

#### `Store`

```python
@dataclass
class Store(object):
    blocks: Dict[Hash, BeaconBlock] = field(default_factory=dict)
    states: Dict[Hash, BeaconState] = field(default_factory=dict)
    time: int = 0
    latest_targets: Dict[ValidatorIndex, Target] = field(default_factory=dict)
    justified_root: Hash = ZERO_HASH
    finalized_root: Hash = ZERO_HASH
```

#### `get_genesis_store`

```python
def get_genesis_store(genesis_state: BeaconState) -> Store:
    genesis_block = BeaconBlock(state_root=hash_tree_root(genesis_state))
    root = signing_root(genesis_block)
    return Store(
        blocks={root: genesis_block},
        states={root: genesis_state},
        time=genesis_state.genesis_time,
        justified_root=root,
        finalized_root=root,
    )
```

#### `get_ancestor`

```python
def get_ancestor(store: Store, root: Hash, slot: Slot) -> Hash:
    block = store.blocks[root]
    assert block.slot >= slot
    return root if block.slot == slot else get_ancestor(store, block.parent_root, slot)
```

#### `get_latest_attesting_balance`

```python
def get_latest_attesting_balance(store: Store, root: Hash) -> Gwei:
    state = store.states[store.justified_root]
    active_indices = get_active_validator_indices(state.validator_registry, slot_to_epoch(state.slot))
    return Gwei(sum(
        state.validator_registry[i].effective_balance for i in active_indices
        if get_ancestor(store, store.latest_targets[i].root, store.blocks[root].slot) == root
    ))
```

#### `get_head`

```python
def get_head(store: Store) -> Hash:
    # Execute the LMD-GHOST fork choice
    head = store.justified_root
    while True:
        children = [root for root in store.blocks.keys() if store.blocks[root].parent_root == head]
        if len(children) == 0:
            return head
        # Sort by latest attesting balance with ties broken lexicographically
        head = max(children, key=lambda root: (get_latest_attesting_balance(store, root), root))
```

### Handlers

#### `on_tick`

```python
def on_tick(store: Store, time: int) -> None:
    store.time = time
```

#### `on_block`

```python
def on_block(store: Store, block: BeaconBlock) -> None:
    # Add new block to the store
    store.blocks[signing_root(block)] = block
    # Check block is a descendant of the finalized block
    assert get_ancestor(store, signing_root(block), store.blocks[store.finalized_root].slot) == store.finalized_root
    # Check block slot against Unix time
    pre_state = store.states[block.parent_root].copy()
    assert store.time >= pre_state.genesis_time + block.slot * SECONDS_PER_SLOT
    # Check the block is valid and compute the post-state
    state = state_transition(pre_state, block)
    # Add new state to the store
    store.states[signing_root(block)] = state
    # Update justified block root
    if state.current_justified_epoch > slot_to_epoch(store.blocks[store.justified_root].slot):
        store.justified_root = state.current_justified_root
    elif state.previous_justified_epoch > slot_to_epoch(store.blocks[store.justified_root].slot):
        store.justified_root = state.previous_justified_root
    # Update finalized block root
    if state.finalized_epoch > slot_to_epoch(store.blocks[store.finalized_root].slot):
        store.finalized_root = state.finalized_root
```

#### `on_attestation`

```python
def on_attestation(store: Store, attestation: Attestation) -> None:
    state = store.states[get_head(store)]
    indexed_attestation = convert_to_indexed(state, attestation)
    validate_indexed_attestation(state, indexed_attestation)
    for i in indexed_attestation.custody_bit_0_indices + indexed_attestation.custody_bit_1_indices:
        if i not in store.latest_targets or attestation.data.target_epoch > store.latest_targets[i].epoch:
            store.latest_targets[i] = Target(attestation.data.target_epoch, attestation.data.target_root)
```