Zero State Return

ZERO_STATE_RETURN Skill

Trigger: Always inject into Arithmetic agent (extends existing ZERO_STATE_ECONOMICS) Purpose: Check protocol return-to-zero state, not just initial zero state

Overview

ZERO_STATE_ECONOMICS checks initial zero state. This skill EXTENDS it to cover:

• Protocol returning to zero after normal operations
• Residual assets when supply returns to zero
• Re-entry vulnerabilities after full exit

1. Return-to-Zero Scenarios

After normal operations, can the protocol return to:

2. Residual Asset Check

When supply returns to zero, check for:

2a. Accrued Rewards

• Do rewards persist when totalSupply = 0?
• If yes → inflates exchange rate for next depositor
• Example: Protocol accrues 100 ETH rewards, last user exits, totalSupply = 0, next deposit of 1 wei receives claim to 100 ETH

2b. Unclaimed Fees

• Are there fee balances that persist?
• Can first new depositor capture accumulated fees?
• Example: Protocol fees = 10 ETH, users exit, new depositor claims all fees

2c. Dust Balances

• Can dust (tiny amounts) affect exchange rate calculations?
• Example: totalSupply = 0, dust balance = 1 wei, exchange rate undefined or manipulable

2d. Pending Operations

• Are there pending withdrawals/claims that persist?
• What happens to in-flight operations when supply hits zero?

3. Re-Entry Vulnerability Analysis

Does re-entering zero state recreate first-depositor attack conditions?

4. Protocol Reset Functions

Check for admin functions that can force zero state:

• emergencyWithdraw() - does it clear ALL state?
• rescueTokens() - can it create accounting mismatch?
• pause() + drain() - what state remains after?
• migrate() - does old contract have residuals?

For each: what state persists after the "reset"?

5. Zero-State Return Checklist

## Zero-State Return Analysis for [ContractName]

### Can protocol return to zero state?
- [ ] All users can withdraw (no locked funds)
- [ ] All shares can be burned
- [ ] Supply can reach exactly zero

### What persists when supply = 0?
- [ ] Accrued rewards: [amount/none]
- [ ] Protocol fees: [amount/none]
- [ ] Dust balances: [yes/no]
- [ ] Pending operations: [list/none]

### Re-entry vulnerability?
- [ ] Initial zero state protected: [yes/no/how]
- [ ] Return-to-zero state protected: [yes/no/how]
- [ ] Same protection mechanism: [yes/no]

### Exchange rate at return-to-zero:
- [ ] Formula: [show calculation]
- [ ] With residual X: [show calculation]
- [ ] Can attacker inflate rate before re-entry: [yes/no]

5b. Default/Uninitialized State Values

For each state variable used in arithmetic or control flow, check its initial value before any user interaction:

• Default zero: Solidity initializes to 0. If a function uses lastTimestamp, startTime, or lastUpdate in subtraction or division BEFORE it has ever been set, the result may be unexpected (e.g., block.timestamp - 0 = enormous elapsed time, or division by a value derived from 0).
• First-call path: Trace the FIRST invocation of each state-modifying function. Does it assume a prior call already initialized dependent variables?
• Check: For each variable read in a function, is there a code path where that variable still holds its default value (0, address(0), false)? If yes, does the function behave correctly with that default?

6. Code Patterns to Check

// Pattern 1: Check covers initial zero only
if (totalSupply == 0) {
    return 1e18; // 1:1 rate
}
// QUESTION: What if totalSupply returns to 0 with balance > 0?

// Pattern 2: Exchange rate with balance
uint256 rate = totalAssets / totalSupply;
// QUESTION: What if totalAssets > 0 and totalSupply = 0 (division by zero)
// QUESTION: What if both return to 0 but at different times?

// Pattern 3: First deposit protection
require(totalSupply > 0 || msg.value >= MIN_FIRST_DEPOSIT);
// QUESTION: Does this check exist for RE-deposits after full exit?

7. Finding Template

**ID**: [AR-N]
**Severity**: [typically HIGH if funds extractable]
**Location**: Contract.sol:LineN
**Title**: Return-to-zero state allows [attack] due to [residual state]
**Description**:
- Protocol can return to totalSupply=0 via [mechanism]
- When this happens, [state variable] retains value of [amount]
- A new depositor can [exploit path]
**Impact**: [Fund extraction / exchange rate manipulation / unfair distribution]
**PoC Scenario**:
1. Users deposit and earn rewards
2. All users withdraw, totalSupply = 0
3. Rewards remain: totalRewards = X
4. Attacker deposits 1 wei
5. Attacker claims X rewards

8. Integration with ZERO_STATE_ECONOMICS

This skill does NOT replace ZERO_STATE_ECONOMICS. It EXTENDS it:

When applying ZERO_STATE_ECONOMICS, ALSO apply ZERO_STATE_RETURN.