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Weak subjectivity guide
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# Ethereum 2.0 Phase 0 -- Weak Subjectivity Guide | ||
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**Notice**: This document is a work-in-progress for researchers and implementers. | ||
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## Table of contents | ||
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<!-- TOC --> | ||
<!-- START doctoc generated TOC please keep comment here to allow auto update --> | ||
<!-- DON'T EDIT THIS SECTION, INSTEAD RE-RUN doctoc TO UPDATE --> | ||
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- [Introduction](#introduction) | ||
- [Prerequisites](#prerequisites) | ||
- [Constants](#constants) | ||
- [Weak Subjectivity Checkpoint](#weak-subjectivity-checkpoint) | ||
- [Weak Subjectivity Period](#weak-subjectivity-period) | ||
- [Calculating the Weak Subjectivity Period](#calculating-the-weak-subjectivity-period) | ||
- [Weak Subjectivity Sync](#weak-subjectivity-sync) | ||
- [Weak Subjectivity Sync Procedure](#weak-subjectivity-sync-procedure) | ||
- [Checking for Stale Weak Subjectivity Checkpoint](#checking-for-stale-weak-subjectivity-checkpoint) | ||
- [Distributing Weak Subjectivity Checkpoints](#distributing-weak-subjectivity-checkpoints) | ||
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<!-- END doctoc generated TOC please keep comment here to allow auto update --> | ||
<!-- /TOC --> | ||
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## Introduction | ||
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This document is a guide for implementing the Weak Subjectivity protections in Phase 0 of Ethereum 2.0. | ||
This document is still a work-in-progress, and is subject to large changes. | ||
For more information about weak subjectivity and why it is required, please refer to: | ||
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- [Weak Subjectivity in Eth2.0](https://notes.ethereum.org/@adiasg/weak-subjectvity-eth2) | ||
- [Proof of Stake: How I Learned to Love Weak Subjectivity](https://blog.ethereum.org/2014/11/25/proof-stake-learned-love-weak-subjectivity/) | ||
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## Prerequisites | ||
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This document uses data structures, constants, functions, and terminology from | ||
[Phase 0 -- The Beacon Chain](./beacon-chain.md) and [Phase 0 -- Beacon Chain Fork Choice](./fork-choice.md). | ||
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## Constants | ||
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| Name | Value | | ||
|----------------|--------------| | ||
| `SAFETY_DECAY` | `uint64(10)` | | ||
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## Weak Subjectivity Checkpoint | ||
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Any `Checkpoint` can used be a Weak Subjectivity Checkpoint. | ||
These Weak Subjectivity Checkpoints are distributed by providers, | ||
downloaded by users and/or distributed as a part of clients, and used as input while syncing a client. | ||
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## Weak Subjectivity Period | ||
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The Weak Subjectivity Period is the number of recent epochs within which there | ||
must be a Weak Subjectivity Checkpoint to ensure that an attacker who takes control | ||
of the validator set at the beginning of the period is slashed at least a minimum threshold | ||
in the event that a conflicting `Checkpoint` is finalized. | ||
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`SAFETY_DECAY` is defined as the maximum percentage tolerable loss in the one-third | ||
safety margin of FFG finality. Thus, any attack exploiting the Weak Subjectivity Period has | ||
a safety margin of at least `1/3 - SAFETY_DECAY/100`. | ||
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### Calculating the Weak Subjectivity Period | ||
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*Note*: `compute_weak_subjectivity_period()` is planned to be updated when a more accurate calculation is made. | ||
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```python | ||
def compute_weak_subjectivity_period(state: BeaconState) -> uint64: | ||
weak_subjectivity_period = MIN_VALIDATOR_WITHDRAWABILITY_DELAY | ||
validator_count = len(get_active_validator_indices(state, get_current_epoch(state))) | ||
if validator_count >= MIN_PER_EPOCH_CHURN_LIMIT * CHURN_LIMIT_QUOTIENT: | ||
weak_subjectivity_period += SAFETY_DECAY * CHURN_LIMIT_QUOTIENT / (2 * 100) | ||
else: | ||
weak_subjectivity_period += SAFETY_DECAY * validator_count / (2 * 100 * MIN_PER_EPOCH_CHURN_LIMIT) | ||
return weak_subjectivity_period | ||
``` | ||
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*Details about the calculation*: | ||
- `100` appears in the denominator to get the actual percentage ratio from `SAFETY_DECAY` | ||
- For more information about other terms in this equation, refer to | ||
[Weak Subjectivity in Eth2.0](https://notes.ethereum.org/@adiasg/weak-subjectvity-eth2) | ||
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A brief reference for what these values look like in practice: | ||
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| `validator_count` | `weak_subjectivity_period` | | ||
| ---- | ---- | | ||
| 1024 | 268 | | ||
| 2048 | 281 | | ||
| 4096 | 307 | | ||
| 8192 | 358 | | ||
| 16384 | 460 | | ||
| 32768 | 665 | | ||
| 65536 | 1075 | | ||
| 131072 | 1894 | | ||
| 262144 | 3532 | | ||
| 524288 | 3532 | | ||
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## Weak Subjectivity Sync | ||
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Clients should allow users to input a Weak Subjectivity Checkpoint at startup, and guarantee that any successful sync leads to the given Weak Subjectivity Checkpoint along the canonical chain. If such a sync is not possible, the client should treat this as a critical and irrecoverable failure. | ||
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### Weak Subjectivity Sync Procedure | ||
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1. Input a Weak Subjectivity Checkpoint as a CLI parameter in `block_root:epoch_number` format, | ||
where `block_root` (an "0x" prefixed 32-byte hex string) and `epoch_number` (an integer) represent a valid `Checkpoint`. | ||
Example of the format: | ||
``` | ||
0x8584188b86a9296932785cc2827b925f9deebacce6d72ad8d53171fa046b43d9:9544 | ||
``` | ||
2. - *IF* `epoch_number > store.finalized_checkpoint.epoch`, | ||
then *ASSERT* during block sync that block with root `block_root` is in the sync path at epoch `epoch_number`. | ||
Emit descriptive critical error if this assert fails, then exit client process. | ||
- *IF* `epoch_number <= store.finalized_checkpoint.epoch`, | ||
then *ASSERT* that the block in the canonical chain at epoch `epoch_number` has root `block_root`. | ||
Emit descriptive critical error if this assert fails, then exit client process. | ||
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### Checking for Stale Weak Subjectivity Checkpoint | ||
Clients may choose to validate that the input Weak Subjectivity Checkpoint is not stale at the time of startup. | ||
To support this mechanism, the client needs to take the state at the Weak Subjectivity Checkpoint as | ||
a CLI parameter input (or fetch the state associated with the input Weak Subjectivity Checkpoint from some source). | ||
The check can be implemented in the following way: | ||
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```python | ||
def is_within_weak_subjectivity_period(store: Store, ws_state: BeaconState, ws_checkpoint: Checkpoint) -> bool: | ||
# Clients may choose to validate the input state against the input Weak Subjectivity Checkpoint | ||
assert ws_state.latest_block_header.state_root == ws_checkpoint.root | ||
assert compute_epoch_at_slot(ws_state.slot) == ws_checkpoint.epoch | ||
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ws_period = compute_weak_subjectivity_period(ws_state) | ||
ws_state_epoch = compute_epoch_at_slot(ws_state.slot) | ||
current_epoch = compute_epoch_at_slot(get_current_slot(store)) | ||
return current_epoch <= ws_state_epoch + ws_period | ||
``` | ||
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## Distributing Weak Subjectivity Checkpoints | ||
This section will be updated soon. |