I'll try and hurry up and release the sourcecode as soon as possible to serve 
as a reference to help clear up all these implementation questions.


Ray Dillinger (Bear) wrote:
> When a coin is spent, the buyer and seller digitally sign a (blinded)
> transaction record.

Only the buyer signs, and there's no blinding. 


> If someone double spends, then the transaction record 
> can be unblinded revealing the identity of the cheater. 

Identities are not used, and there's no reliance on recourse.  It's all 
prevention.


> This is done via a fairly standard cut-and-choose 
> algorithm where the buyer responds to several challenges
> with secret shares

No challenges or secret shares.  A basic transaction is just what you see in 
the figure in section 2.  A signature (of the buyer) satisfying the public key 
of the previous transaction, and a new public key (of the seller) that must be 
satisfied to spend it the next time.


> They may also receive chains as long as the one they're trying to
> extend while they work, in which the last few "links" are links
> that are *not* in common with the chain on which they're working.
> These they ignore. 

Right, if it's equal in length, ties are broken by keeping the earliest one 
received.


> If it contains a double spend, then they create a "transaction" 
> which is a proof of double spending, add it to their pool A, 
> broadcast it, and continue work.

There's no need for reporting of "proof of double spending" like that.  If the 
same chain contains both spends, then the block is invalid and rejected.  

Same if a block didn't have enough proof-of-work.  That block is invalid and 
rejected.  There's no need to circulate a report about it.  Every node could 
see that and reject it before relaying it.

If there are two competing chains, each containing a different version of the 
same transaction, with one trying to give money to one person and the other 
trying to give the same money to someone else, resolving which of the spends is 
valid is what the whole proof-of-work chain is about.

We're not "on the lookout" for double spends to sound the alarm and catch the 
cheater.  We merely adjudicate which one of the spends is valid.  Receivers of 
transactions must wait a few blocks to make sure that resolution has had time 
to complete.  Would be cheaters can try and simultaneously double-spend all 
they want, and all they accomplish is that within a few blocks, one of the 
spends becomes valid and the others become invalid.  Any later double-spends 
are immediately rejected once there's already a spend in the main chain.  

Even if an earlier spend wasn't in the chain yet, if it was already in all the 
nodes' pools, then the second spend would be turned away by all those nodes 
that already have the first spend.


> If the new chain is accepted, then they give up on adding their
> current link, dump all the transactions from pool L back into pool
> A (along with transactions they've received or created since
> starting work), eliminate from pool A those transaction records
> which are already part of a link in the new chain, and start work
> again trying to extend the new chain.

Right.  They also refresh whenever a new transaction comes in, so L pretty much 
contains everything in A all the time.


> CPU-intensive digital signature algorithm to 
> sign the chain including the new block L. 

It's a Hashcash style SHA-256 proof-of-work (partial pre-image of zero), not a 
signature.  


> Is there a mechanism to make sure that the "chain" does not consist
> solely of links added by just the 3 or 4 fastest nodes? 'Cause a
> broadcast transaction record could easily miss those 3 or 4 nodes
> and if it does, and those nodes continue to dominate the chain, the
> transaction might never get added.

If you're thinking of it as a CPU-intensive digital signing, then you may be 
thinking of a race to finish a long operation first and the fastest always 
winning.

The proof-of-work is a Hashcash style SHA-256 collision finding.  It's a 
memoryless process where you do millions of hashes a second, with a small 
chance of finding one each time.  The 3 or 4 fastest nodes' dominance would 
only be proportional to their share of the total CPU power.  Anyone's chance of 
finding a solution at any time is proportional to their CPU power.

There will be transaction fees, so nodes will have an incentive to receive and 
include all the transactions they can.  Nodes will eventually be compensated by 
transaction fees alone when the total coins created hits the pre-determined 
ceiling.


> Also, the work requirement for adding a link to the chain should
> vary (again exponentially) with the number of links added to that
> chain in the previous week, causing the rate of coin generation
> (and therefore inflation) to be strictly controlled.

Right.


> You need coin aggregation for this to scale. There needs to be
> a "provable" transaction where someone retires ten single coins
> and creates a new coin with denomination ten, etc. 

Every transaction is one of these.  Section 9, Combining and Splitting Value.  


Satoshi Nakamoto



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