Liking the inverted blockchain

The more I tik it through.

In this scenario, miners keep a list of valid accounts with positive balances, not necessarily the whole list. The miner can verify a spending signature for any new transfer request.  If the miner discovers the account then overdrawn, the miner posts to the double spend blockchain with a PoW. The miner gets to payments, one for the original spend, and ne for its reversal; paid by the double spender.

Thus, any miner keeps a list of valid, positive balanced accounts. All miners agree on the blockchain of recovered funds.

Any receiving agent may not trust the collection of miners, and can go ahead and just find a miner for the accounts of its own customer set.  Upon covering its own risk, it notifies the remaining iners, forcing them to set the proper balance (via resolution) for the offending account.  Miners who do not track that account tacitly agree since the party at risk can force the issue via valid spending signature.  So, the inimu work is done, track the accounts you are hired to track, and either defer, accept or reject double spend adjustments that appear on the public blockchain.

Ig any trailing double spends continue down chain, undetected, it is because no one cares, it is not a double spend.  At any point, a party at risk can hire a double spend miners to track the account in question.  Armed with the spending signature, the miner can force all other miners to produce and update  their account balances for the particular signature (or defer),   At that point the blockchain will record any discovered double spend.

Network consequences

Agents at risk who want a transfer checks for over drawn can either force it on  iners who care, not all of them care.  The agent at risk will raise transaction fees to attract miners, at some point.  WalMart may just collect the spends over the week, then batch and process them from all the stores in frequently.  When large transfers take place, agents at risk will pay the fee needed to get the quorum of miners watching those accounts.

Currency issuance is separate, done however one wants to do it.  Agents at risk will cover the miners to match risk.