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To: Zac Greenwood <zachgrw@gmail.com>
From: ZmnSCPxj <ZmnSCPxj@protonmail.com>
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Cc: Bitcoin Protocol Discussion <bitcoin-dev@lists.linuxfoundation.org>
Subject: Re: [bitcoin-dev] Exploring: limiting transaction output amount as
	a function of total input value
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Good morning Zac,


> Perhaps you could help me understand what would be required to implement =
the *unmodified* proposal. That way, the community will be able to better a=
ssess the cost (in terms of effort and risk) and weigh it against the perce=
ived benefits. Perhaps *then* we find that the cost could be significantly =
reduced without any significant reduction of the benefits, for instance by =
slightly compromising on the functionality such that no changes to consensu=
s would be required for its implementation. (I am skeptical that this would=
 be possible though). The cost reduction must be carefully weighed against =
the functional gaps it creates.

For one, such output need to be explicitly visible, to implement the "chang=
e outputs must also be rate-limited".
A tx spending a rate-limited output has to know that one of the outputs is =
also a rate-limited output.

This flagging needs to be done by either allocating a new SegWit version --=
- a resource that is not lightly allocated, there being only 30 versions le=
ft if my understanding is correct --- or blessing yet another anyone-can-sp=
end `scriptPubKey` template, something we want to avoid which is why SegWit=
 has versions (i.e. we want SegWit to be the last anyone-can-spend `scriptP=
ubKey` template we bless for a **long** time).

Explicit flagging is bad as well for privacy, which is another mark against=
 it.
Notice how Taproot improves privacy by making n-of-n indistinguishable from=
 1-of-1 (and with proper design or a setup ritual, k-of-n can be made indis=
tinguishable from 1-of-1).
Notice as well that my first counterproposal is significantly more private =
than explicit flagging, and my second coutnerproposal is also more private =
if wallets change their anti-fee-sniping mitigation.
This privacy loss represented by explicit flagging will be resisted by some=
 people, especially those that use a bunch of random letters as a pseudonym=
 (because duh, privacy).

(Yes, people can just decide not to use the privacy-leaking explicitly-flag=
ged outputs, but that reduces the anonymity set of people who *are* interes=
ted in privacy, so people who are interested in privacy will prefer that ot=
her people do not leak their privacy so they can hide among *those* people =
as well.)

You also probably need to keep some data with each output.
This can be done by explicitly storing that data in the output directly, ra=
ther than a commitment to that data --- again, the "change outputs must als=
o be rate-limited" requirement needs to check those data.

The larger data stored with the output is undesirable, ideally we want each=
 output to just be a commitment rather than contain any actual data, becaus=
e often a 20-byte commitment is smaller than the data that needs to be stor=
ed.
For example, I imagine that your original proposal requires, for change out=
puts, to store:

* The actual rate limit.
* The time frame of the rate limit.
* The reduced rate limit, since we spent an amount within a specific time f=
rame (i.e. residual limit) which is why this is a change output.
* How long that time frame lasts.
* A commitment to the keys that can spend this.

Basically, until the residual limit expires, we impose the residual limit, =
then after the expiry of the residual limit we go back to the original rate=
 limit.

The commitment to the keys itself takes at least 20 bytes, and if you are p=
lanning a to support k-of-n then that takes at least 32 bytes.
If this was not explicitly tagged, then a 32 byte commitment to all the nec=
essary data would have been enough, but you do need the explicit tagging fo=
r the "change outputs must be rate-limited too".

Note as well that the residual needs to be kept with the output.
Bitcoin Core does not store transactions in a lookup table, it stores indiv=
idual *outputs*.
While the residual can be derived from the transaction, we do not have a tr=
ansaction table.
Thus, we need to explicitly put it on the output itself, directly, since we=
 only have a lookup table for the unspent outputs, not individual transacti=
ons.

(well there is `txindex` but that is an option for each node, not something=
 consensus code can rely on)

So yes, that "change outputs must also be rate-limited" is the big sticking=
 point, and a lot of the "gaps" you worry about occur when we drop this bit=
.
Drop this bit and you can implement it today without any consensus code cha=
nge, and with privacy good enough to prevent people with random letters as =
pseudonym from trying to stop you.

Regards,
ZmnSCPxj